File "markscheme-SL-paper2.html"
Path: /IB QUESTIONBANKS/4 Fourth Edition - PAPER/HTML/Physics/Topic 2 HTML/markscheme-SL-paper2html
File size: 3.25 MB
MIME-type: text/html
Charset: utf-8
<!DOCTYPE html>
<html>
<meta http-equiv="content-type" content="text/html;charset=utf-8">
<head>
<meta charset="utf-8">
<title>IB Questionbank</title>
<link rel="stylesheet" media="all" href="css/application-212ef6a30de2a281f3295db168f85ac1c6eb97815f52f785535f1adfaee1ef4f.css">
<link rel="stylesheet" media="print" href="css/print-6da094505524acaa25ea39a4dd5d6130a436fc43336c0bb89199951b860e98e9.css">
<script src="js/application-13d27c3a5846e837c0ce48b604dc257852658574909702fa21f9891f7bb643ed.js"></script>
<script type="text/javascript" async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-MML-AM_CHTML-full"></script>
<!--[if lt IE 9]>
<script src='https://cdnjs.cloudflare.com/ajax/libs/html5shiv/3.7.3/html5shiv.min.js'></script>
<![endif]-->
<meta name="csrf-param" content="authenticity_token">
<meta name="csrf-token" content="iHF+M3VlRFlNEehLVICYgYgqiF8jIFlzjGNjIwqOK9cFH3ZNdavBJrv/YQpz8vcspoICfQcFHW8kSsHnJsBwfg==">
<link href="favicon.ico" rel="shortcut icon">
</head>
<body class="teacher questions-show">
<div class="navbar navbar-fixed-top">
<div class="navbar-inner">
<div class="container">
<div class="brand">
<div class="inner"><a href="http://ibo.org/">ibo.org</a></div>
</div>
<ul class="nav">
<li>
<a href="../../index.html">Home</a>
</li>
<li class="active dropdown">
<a class="dropdown-toggle" data-toggle="dropdown" href="#">
Questionbanks
<b class="caret"></b>
</a><ul class="dropdown-menu">
<li>
<a href="../../geography.html" target="_blank">DP Geography</a>
</li>
<li>
<a href="../../physics.html" target="_blank">DP Physics</a>
</li>
<li>
<a href="../../chemistry.html" target="_blank">DP Chemistry</a>
</li>
<li>
<a href="../../biology.html" target="_blank">DP Biology</a>
</li>
<li>
<a href="../../furtherMath.html" target="_blank">DP Further Mathematics HL</a>
</li>
<li>
<a href="../../mathHL.html" target="_blank">DP Mathematics HL</a>
</li>
<li>
<a href="../../mathSL.html" target="_blank">DP Mathematics SL</a>
</li>
<li>
<a href="../../mathStudies.html" target="_blank">DP Mathematical Studies</a>
</li>
</ul></li>
<!-- - if current_user.is_language_services? && !current_user.is_publishing? -->
<!-- %li= link_to "Language services", tolk_path -->
</ul>
<ul class="nav pull-right">
<li>
<a href="https://06082010.xyz">IB Documents (2) Team</a>
</li></ul>
</div>
</div>
</div>
<div class="page-content container">
<div class="row">
<div class="span24">
</div>
</div>
<div class="page-header">
<div class="row">
<div class="span16">
<p class="back-to-list">
</p>
</div>
<div class="span8" style="margin: 0 0 -19px 0;">
<img style="width: 100%;" class="qb_logo" src="images/ib-qb-46-logo-683ef0176708d789b2acbf6ece48c55de4cd5ddac781fb455afe3540d22d050e.jpg" alt="Ib qb 46 logo">
</div>
</div>
</div><h2>SL Paper 2</h2><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about kinematics and Newton’s laws of motion.</p>
<p class="p1"><strong>Part 2 </strong>is about electrical circuits.</p>
<p class="p1"><strong>Part 1 </strong>Kinematics and Newton’s laws of motion</p>
<p class="p1">Cars I and B are on a straight race track. I is moving at a constant speed of \({\text{45 m}}\,{{\text{s}}^{ - 1}}\) and B is initially at rest. As I passes B, B starts to move with an acceleration of \({\text{3.2 m}}\,{{\text{s}}^{ - 2}}\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_17.13.17.png" alt="N15/4/PHYSI/SP2/ENG/TZ0/06"></p>
<p class="p1">At a later time B passes I. You may assume that both cars are point particles.</p>
</div>
<div class="specification">
<p class="p1">A third car O with mass 930 kg joins the race. O collides with I from behind, moving along the same straight line as I. Before the collision the speed of I is \({\text{45 m}}\,{{\text{s}}^{ - 1}}\) and its mass is 850 kg. After the collision, I and O stick together and move in a straight line with an initial combined speed of \({\text{52 m}}\,{{\text{s}}^{ - 1}}\).</p>
</div>
<div class="specification">
<p>This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about kinematics and Newton’s laws of motion.</p>
<p class="p1"><strong>Part 2 </strong>Electrical circuits</p>
<p class="p1">The circuit shown is used to investigate how the power developed by a cell varies when the load resistance \(R\) changes.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_17.20.36.png" alt="N15/4/PHYSI/SP2/ENG/TZ0/06_Part2_01"></p>
<p class="p1">The variable resistor is adjusted and a series of current and voltage readings are taken. The graph shows the variation with \(R\) of the power dissipated in the cell and the power dissipated in the variable resistor.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_17.22.40.png" alt="N15/4/PHYSI/SP2/ENG/TZ0/06_Part2_02"></p>
</div>
<div class="specification">
<p class="p1">The cell has an internal resistance.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that the time taken for B to pass I is approximately 28 s.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the distance travelled by B in this time.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">B slows down while I remains at a constant speed. The driver in each car wears a seat belt. Using Newton’s laws of motion, explain the difference in the tension in the seat belts of the two cars.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the speed of O immediately before the collision.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The duration of the collision is 0.45 s. Determine the average force acting on O.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">An ammeter and a voltmeter are used to investigate the characteristics of a variable resistor of resistance \(R\). State how the resistance of the ammeter and of the voltmeter compare to \(R\) so that the readings of the instruments are reliable.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that the current in the circuit is approximately 0.70 A when \(R = 0.80{\text{ }}\Omega \).</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline what is meant by the internal resistance of a cell.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the internal resistance of the cell.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the electromotive force (emf) of the cell.</p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">distances itemized; <em>(it must be clear through use of </em><span class="s1"><em>\({s_I}\) </em></span><em>or distance I etc)</em></p>
<p class="p1">distances equated;</p>
<p class="p1">\(t = \frac{{2v}}{a}\) / cancel and re-arrange;</p>
<p class="p1">substitution \(\left( {\frac{{2 \times 45}}{{3.2}}} \right)\) shown / 28.1(s) seen;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">clear written statement that the average speed of B must be the same as constant speed of I;</p>
<p class="p1">as B starts from rest the final speed must be \({\text{2}} \times {\text{45}}\);</p>
<p class="p1">so \(t = \frac{{\Delta v}}{a} = \frac{{90}}{{3.2}}\);</p>
<p class="p1">28.1 (s) seen; <em>(for this alternative the method must be clearly described)</em></p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">attempts to compare distance travelled by I and B for 28 s;</p>
<p class="p1">I distance \( = (45 \times 28 = ){\text{ }}1260{\text{ (m)}}\);</p>
<p class="p1">B distance \( = (\frac{1}{2} \times 3.2 \times {28^2} = ){\text{ }}1255{\text{ (m)}}\);</p>
<p class="p1">deduces that overtake must occur about \(\left( {\frac{5}{{45}} = } \right){\text{ }}0.1{\text{ s}}\) later;</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">use of appropriate equation of motion;</p>
<p class="p1">\((1.26 \approx )\) 1.3 (km);</p>
<p class="p1"><em>Award </em><strong><em>[2] </em></strong><em>for a bald correct answer.</em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">driver I moves at constant speed so no net (extra) force according to Newton 1;</p>
<p class="p1">driver B decelerating so (extra) force (to rear of car) (according to Newton 1) / momentum/inertia change so (extra) force must be present;</p>
<p class="p1">(hence) greater tension in belt B than belt I;</p>
<p class="p1"><em>Award </em><strong><em>[0] </em></strong><em>for stating that tension is less in the decelerating car (B).</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(930 \times v + 850 \times 45 = 1780 \times 52\) <strong><em>or </em></strong>statement that momentum is conserved;</p>
<p class="p1">\(v = 58{\text{ }}({\text{m}}\,{{\text{s}}^{ - 1}})\);</p>
<p class="p1"><em>Allow </em><strong><em>[2] </em></strong><em>for a bald correct answer.</em></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">use of force \(\frac{{{\text{change of momentum}}}}{{{\text{time}}}}\) (or any variant, <em>eg</em>: \(\frac{{930 \times 6.4}}{{0.45}}\));</p>
<p class="p1">\(13.2 \times {10^3}{\text{ (N)}}\); } <em>(must see matched units and value ie: 13 200 without unit gains MP2, 13.2 does not)</em></p>
<p class="p1"><em>Award </em><strong><em>[2] </em></strong><em>for a bald correct answer.</em></p>
<p class="p1"><em>Allow use of 58 m s<sup>–1</sup> from (c)(i) to give 12 400 (N).</em></p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">ammeter must have very low resistance/much smaller than \(R\);</p>
<p class="p1">voltmeter must have very large resistance/much larger than \(R\);</p>
<p class="p1"><em>Allow </em><strong><em>[1 max] </em></strong><em>for zero and infinite resistance for ammeter and voltmeter respectively.</em></p>
<p class="p1"><em>Allow </em><strong><em>[1 max] </em></strong><em>if superlative (eg: very/much/OWTTE) is missing.</em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="s1">power (loss in resistor) \( = 0.36{\text{ (W)}}\); } </span><em>(accept answers in the range of 0.35 to 0.37 (W) – treat value outside this range as ECF (could still lead to 0.7))</em></p>
<p class="p1">\({I^2} \times 0.80 = 0.36\);</p>
<p class="p1">\(I = 0.67{\text{ (A)}}\) <strong><em>or</em></strong> \(\sqrt {\left( {\frac{{0.36}}{{0.8}}} \right)} \); <em>(allow answers in the range of 0.66 to 0.68 (A).</em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">resistance of the components/chemicals/materials within the cell itself; } <span class="s1"><em>(not “resistance of cell”)</em></span></p>
<p class="p2">leading to energy/power loss in the cell;</p>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>power (in cell with 0.7 A) \( = 0.58{\text{ W}}\); } <em>(allow answers in the range of 0.57 W to 0.62 W)</em></p>
<p>\({0.7^2} \times r = 0.58\);</p>
<p>\(r = 1.2{\text{ (}}\Omega {\text{)}}\); <em>(allow answers in the range of 1.18 to 1.27 (</em>\(\Omega \)<em>))</em></p>
<p><strong><em>or</em></strong></p>
<p>when powers are equal;</p>
<p>\({I^2}R = {I^2}r\);</p>
<p>so \(r = R\) which occurs at 1.2(5) (\(\Omega \));</p>
<p><em>Award </em><strong><em>[1 max] </em></strong><em>for bald 1.2(5) (</em>\(\Omega \)<em>)</em><em>.</em></p>
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\left( {E = I(R + r)} \right) = 0.7(0.8 + 1.2)\);</p>
<p>1.4 (V);</p>
<p><em>Allow ECF from (e) or (f)(ii).</em></p>
<p><strong><em>or</em></strong></p>
<p>when \(R = 0\), power loss \( = 1.55\);</p>
<p>\(E = (\sqrt {1.55 \times 1.2} = ){\text{ }}1.4{\text{ (V)}}\);</p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">In 1997 a high-speed car of mass \(1.1 \times {10^4}{\text{ kg}}\) achieved the world land speed record. The car accelerated uniformly in two stages as shown in the table. The car started from rest.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_17.18.21.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/A2"></p>
<p class="p1">Use the data to calculate the</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">average acceleration of the car in stage 1.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">average net force required to accelerate the car in stage 2.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">total distance travelled by the car in 12 s.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(11{\text{ m}}{{\text{s}}^{ - 2}}\);</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\Delta v = 236\);</p>
<p class="p1">\(a = \left( {\frac{{236}}{8} = } \right){\text{ }}29.5{\text{ }}\left( {{\text{m}}\,{{\text{s}}^{ - 2}}} \right)\);</p>
<p class="p2">\((F = 1.1 \times {10^4} \times 29.5) = 3.2 \times {10^5}{\text{ N}}\)<span class="s1">;</span></p>
<p class="p1"><em>Award </em><strong><em>[2 max] </em></strong><em>for omission of initial speed (answer is 390 kN).</em></p>
<p class="p1"><em>Award </em><strong><em>[3] </em></strong><em>for correct bald answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">phase 1 distance 88 m / phase 2 distance 1296 m;</p>
<p class="p1">total 1400 m;</p>
<p class="p1"><em>Award </em><strong><em>[2] </em></strong><em>for correct bald answer.</em></p>
<p class="p1"><em>Watch for significant figure penalty in this question (1384 m).</em></p>
<p class="p1"><em>Award </em><strong><em>[1 max] </em></strong><em>for </em>\(\frac{1}{2}\)<em>at<sup>2</sup> substituted correctly for first phase, if no distances</em></p>
<p class="p1"><em>evaluated and answer incorrect.</em></p>
<p class="p1"><em>Award </em><strong><em>[1 max] </em></strong><em>for correct addition of incorrect phase 1 and/or 2 distance(s).</em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Most candidates were able to score well on this part.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">There were widespread failures to achieve the correct intermediate step of evaluating the acceleration in stage 2. The initial speed was often taken to be zero.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This very simple part caused problems for many who were unable to calculate the distances travelled in each stage, or add these together correctly.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Momentum</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the law of conservation of momentum.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Far from any massive object, a space rocket is moving with constant velocity. The engines of the space rocket are turned on and it accelerates by burning fuel and ejecting gases. Discuss how the law of conservation of momentum relates to this situation.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p style="text-align: left;">Jane and Joe are two ice skaters initially at rest on a horizontal skating rink. They are facing each other and Jane is holding a ball. Jane throws the ball to Joe who catches it. The speed at which the ball leaves Jane, measured relative to the ground, is 8.0 m s<sup>–1</sup>.<br>The following data are available.<br> Mass of Jane = 52 kg<br> Mass of Joe = 74 kg<br> Mass of ball = 1.3 kg</p>
<p style="text-align: left;">Use the data to calculate the</p>
<p style="text-align: left;">(i) speed <em>v</em> of Jane relative to the ground immediately after she throws the ball.</p>
<p style="text-align: left;">(ii) speed <em>V</em> of Joe relative to the ground immediately after he catches the ball.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>if the net external force acting on a system is zero;<br>the momentum of the system remains constant/unchanged/the same;</p>
<p><strong>or</strong></p>
<p>for a closed system;<br>the momentum remains constant/unchanged/the same;<br><em>Award<strong> [1]</strong> for “momentum before collision equals momentum after collision”. <br>Do not accept “momentum is conserved”. </em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>identifies the system as rocket + exhaust gases / total momentum of rocket and gas is equal before and after; (<em>it must be clear that this is the system, a mention of rocket and gases is not enough) </em></p>
<p>no external forces act on this system / closed system;</p>
<p>increase/change in momentum of the gases is equal and opposite to the increase/change of momentum of the rocket;</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) attempts to use conservation of momentum, <em>eg</em> 8.0×1.3=52×<em>v</em>;<br><em>v</em>=0.20(ms<sup>-1</sup>);<br><em>Award <strong>[2]</strong> for a bald correct answer. </em></p>
<p>(ii) identifies new mass as 75.3(kg);<br><em>V</em>=0.14(ms<sup>-1</sup>); </p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>A common error re-emerged in this examination. If asked to state a law of conservation a candidate must <em>not</em> simply say that the “quantity is conserved”. This tells the examiner nothing (other than that the candidate has read the question) and will never attract marks. This is a simple examination skill that many candidates continue to fail to learn.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Few were able to give adequate discussions of the how momentum conservation applies to one of the most common cases discussed in teaching at this level, that of a rocket in free space. There was no clear recognition that the system is closed or even what the system is or that the important factor is the <em>change</em> in momentum of the fuel and therefore the rocket. These are difficult ideas for candidates to grasp but examiners expected better attempts from the most able.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) This was well done.</p>
<p>(ii) About one-third of candidates failed to recognise that the mass of Joe needs to have the mass of the ball added to it for a correct solution of the problem</p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about the motion of a car. <strong>Part 2 </strong>is about electricity.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1</strong> Motion of a car</p>
</div>
<div class="specification">
<p class="p1">A car is travelling along the straight horizontal road at its maximum speed of \({\text{56 m}}\,{{\text{s}}^{ - 1}}\). The power output required at the wheels is 0.13 MW.</p>
</div>
<div class="specification">
<p class="p1">A driver moves the car in a horizontal circular path of radius 200 m. Each of the four tyres will not grip the road if the frictional force between a tyre and the road becomes less than 1500 N.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Electricity</p>
</div>
<div class="specification">
<p class="p1">A lemon can be used to make an electric cell by pushing a copper rod and a zinc rod into the lemon.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-08_om_17.27.58.png" alt="M14/4/PHYSI/SP2/ENG/TZ2/06_Part2.d"></p>
<p class="p1">A student constructs a lemon cell and connects it in an electrical circuit with a variable resistor. The student measures the potential difference <em>V </em>across the lemon and the current <em>I </em>in the lemon.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A car accelerates uniformly along a straight horizontal road from an initial speed of \({\text{12 m}}\,{{\text{s}}^{ - 1}}\) to a final speed of \({\text{28 m}}\,{{\text{s}}^{ - 1}}\) in a distance of 250 m. The mass of the car is 1200 kg. Determine the rate at which the engine is supplying kinetic energy to the car as it accelerates.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A car is travelling along a straight horizontal road at its maximum speed of \({\text{56 m}}\,{{\text{s}}^{ - 1}}\). The power output required at the wheels is 0.13 MW.</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>Calculate the total resistive force acting on the car when it is travelling at a constant speed of \({\text{56 m}}\,{{\text{s}}^{ - 1}}\).</p>
<p class="p2">(ii) <span class="Apple-converted-space"> </span>The mass of the car is 1200 kg. The resistive force \(F\) is related to the speed \(v\) by \(F \propto {v^2}\). Using your answer to (b)(i), determine the maximum theoretical acceleration of the car at a speed of \({\text{28 m}}\,{{\text{s}}^{ - 1}}\).</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Calculate the maximum speed of the car at which it can continue to move in the circular path. Assume that the radius of the path is the same for each tyre.</p>
<p class="p1">(ii) While the car is travelling around the circle, the people in the car have the sensation that they are being thrown outwards. Outline how Newton’s first law of motion accounts for this sensation.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Draw a circuit diagram of the experimental arrangement that will enable the student to collect the data for the graph.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Show that the potential difference \(V\) across the lemon is given by</p>
<p class="p1">\[V = E - Ir\]</p>
<p class="p1">where \(E\) is the emf of the lemon cell and \(r\) is the internal resistance of the lemon cell.</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>The graph shows how \(V\) varies with \(I\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-11_om_09.50.40.png" alt="M14/4/PHYSI/SP2/ENG/TZ2/06_Part2.d.iii"></p>
<p class="p2">Using the graph, estimate the emf of the lemon cell.</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>Determine the internal resistance of the lemon cell.</p>
<p class="p2">(v) <span class="Apple-converted-space"> </span>The lemon cell is used to supply energy to a digital clock that requires a current of \({\text{6.0 }}\mu {\text{A}}\). The clock runs for 16 hours. Calculate the charge that flows through the clock in this time.</p>
<div class="marks">[10]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">use of a kinematic equation to determine motion time \(( = 12.5{\text{ s)}}\);</p>
<p class="p1">change in kinetic energy \( = \frac{1}{2} \times 1200 \times \left[ {{{28}^2} - {{12}^2}} \right]{\text{ }}( = 384{\text{ kJ)}}\);</p>
<p class="p1">rate of change in kinetic energy \( = \frac{{384000}}{{12.5}}\); } <em>(allow ECF of 162</em> <em>from (28 – 12)<sup>2</sup></em> <em>for this mark)</em></p>
<p class="p1">31 (kW);</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">use of a kinematic equation to determine motion time \(( = 12.5{\text{ s)}}\);</p>
<p class="p1">use of a kinematic equation to determine acceleration \(( = {\text{1.28 m}}\,{{\text{s}}^{ - 2}}{\text{)}}\);</p>
<p class="p1">work done \( = \frac{{F \times s}}{{{\text{time}}}} = \frac{{1536 \times 250}}{{12.5}}\);</p>
<p class="p1">31 (kW);</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\({\text{force}} = \frac{{{\text{power}}}}{{{\text{speed}}}}\);</p>
<p class="p1">2300 <strong><em>or </em></strong>2.3k (N);</p>
<p class="p1"><em>Award </em><strong><em>[2] </em></strong><em>for a bald correct answer.</em></p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>resistive force \( = \frac{{2300}}{4}\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)\(\frac{{2321}}{4}{\text{ }}( = 575)\); <em>(allow ECF)</em></p>
<p class="p1">so accelerating force = \((2300 - 580 = ){\text{ }}1725{\text{ (N)}}\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)1741 (N);</p>
<p class="p1">\(a = \frac{{1725}}{{1200}} = 1.44{\text{ (m}}{{\text{s}}^{ - 2}}{\text{)}}\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)\(a = \frac{{1741}}{{1200}} = 1.45{\text{ (m}}\,{{\text{s}}^{ - 2}}{\text{)}}\);</p>
<p class="p1"><em>Award </em><strong><em>[2 max] </em></strong><em>for an answer of 0.49 </em><span class="s1"><em>(m</em>\(\,\)<em>s<sup>–2</sup>) </em></span><em>(omits 2300 N).</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>centripetal force must be <span class="s1">\( < {\text{6000 (N)}}\)</span>; <em>(allow force = 6000 N)</em></p>
<p class="p1">\({v^2} = F \times \frac{r}{m}\);</p>
<p class="p1">\({\text{31.6 (m}}\,{{\text{s}}^{ - 1}}{\text{)}}\);</p>
<p class="p1"><em>Allow </em><strong><em>[3] </em></strong><em>for a bald correct answer.</em></p>
<p class="p1"><em>Allow </em><strong><em>[2 max] </em></strong><em>if 4</em>\( \times \)<em> is omitted, giving 15.8 (m</em>\(\,\)<em>s</em><sup><span class="s2"><em>–1</em></span></sup><em>)</em>.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>statement of Newton’s first law;</p>
<p class="p1">(hence) without car wall/restraint/friction at seat, the people in the car would move in a straight line/at a tangent to circle;</p>
<p class="p1">(hence) seat/seat belt/door exerts centripetal force;</p>
<p class="p1">(in frame of reference of the people) straight ahead movement is interpreted as “outwards”;</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>voltmeter in parallel with cell; <em>(allow ammeter within voltmeter leads)</em></p>
<p class="p1">ammeter in series with variable resistor; } <em>(must draw as variable arrangement or as potential divider)</em></p>
<p class="p1"><em>Allow cell symbol for lemon/cell/box labelled “lemon cell”.</em></p>
<p class="p1"><em>Award </em><strong><em>[1 max] </em></strong><em>if additional cell appears in the circuit.</em></p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\(E = I(R + r)\) and \(V = IR\) used; <em>(must state both explicitly)</em></p>
<p class="p1">re-arrangement correct <em>ie </em>\(E = V + Ir\); } <em>(accept any other correct re-arrangement eg. involving energy conversion)</em></p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>line correctly extrapolated to <em>y</em>-axis; <em>(judge by eye)</em></p>
<p class="p1">1.6 <strong><em>or </em></strong>1.60 (V); <em>(allow ECF from incorrect extrapolation)</em></p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>correct read-offs from large triangle greater than half line length;</p>
<p class="p1">gradient determined;</p>
<p class="p1">290 to 310 \({\text{(}}\Omega {\text{)}}\);</p>
<p class="p1"><em>Award </em><strong><em>[2 max] </em></strong><em>for the use of one point on line and equation.</em></p>
<p class="p1">(v) <span class="Apple-converted-space"> </span>0.35 (C);</p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">There were at least two routes to tackle this problem. Some solutions were so confused that it was difficult to decide which method had been used. Common errors included: forgetting that the initial speed was \({\text{12 m}}\,{{\text{s}}^{ - 1}}\) not zero, power of ten errors, and simple mistakes in the use of the kinematic equations, or failure to evaluate work done = force \( \times \) distance correctly. However, many candidates scored partial credit. Scores of two or three out of the maximum four were common showing that many are persevering to get as far as they can.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) Many correct solutions were seen. Candidates are clearly comfortable with the use of the equation force = power/speed.</p>
<p class="p1">(ii) The method to be used here was obvious to many. What was missing was a clear appreciation of what was happening in terms of resistive force in the system. Many scored two out of three because they indicated a sensible method but did not use the correct value for the force. Scoring two marks does require that the explanation of the method is at least competent. Those candidates who give limited explanations of their method leading to a wrong answer will generally accumulate little credit. A suggestion (never seen in answers) is that candidates should have begun from a free-body force diagram which would have revealed the relationship of all the forces.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) The major problem here was that most candidates did not recognise that 1500 N of force acting at each of four wheels will imply a total force of 6 kN. Again, partial credit was available only if it was clear what the candidate was doing and what the error was.</p>
<p class="p1">(ii) Statements of Newton’s first law were surprisingly poor. As in previous examinations, few candidates appear to have learnt this essential rule by heart and they produce a garbled and incomplete version under examination pressure. The first law was then only loosely connected to the particular context of the question. Candidates have apparently not learnt to relate the physics they learn to everyday contexts.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Circuit diagrams continue to be a particular issue for many candidates. Neat, well-drawn diagrams are rarely seen. Some diagrams had two cells, the lemon cell and another. Variable resistors were sometimes absent (or were drawn as fixed). Potential dividers were often attempted usually unsuccessfully. Generally candidates gained an average one mark for what should have been a familiar task.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Those who quoted the data booklet equation and the definition of resistance were generally able to show the final expression. Some however could not convince the examiners that they knew what they were doing.</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>Candidates were expected to understand the physical point that the emf can be determined when the current in the cell is zero. For many, an extrapolation of the obvious straight line to the emf axis and a correct read-off gave an easy couple of marks. Some however did not understand the physics of the circuit and gave poorly described solutions.</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>The internal resistance was best obtained from a large triangle drawn on the graph. Many however gained two of the three marks because they engendered power of ten errors or because they used only one point, or because their triangle was too small.</p>
<p class="p1">(v) <span class="Apple-converted-space"> </span>Only a minority were able to use the data to calculate the charge transferred correctly.</p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>A small ball of mass <em>m </em>is moving in a horizontal circle on the inside surface of a frictionless hemispherical bowl.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-12_om_12.45.38.png" alt="M18/4/PHYSI/SP2/ENG/TZ2/01.a"></p>
<p>The normal reaction force <em>N </em>makes an angle <em>θ</em> to the horizontal.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the direction of the resultant force on the ball.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram, construct an arrow of the correct length to represent the weight of the ball.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAw8AAAF6CAYAAABfrGSNAAAgAElEQVR4Ae3dX2hmd5kH8CciuhEpJlQ6LelQVxkRxyGyleqmYdBK/ihFmIEuuag3lV7ssr1zcyUhuLJjFjYwDl4kRCGNG7riWHZvJkGWRpq9CHU2tKB1qLWYwbawJKUUu+5Fs5zXZpw2nZmcmeSX93nPZy46mbznnOf3fJ4w0y/nd963a3t7ezv8IkCAAAECBAgQIECAwA0E3neD171MgAABAgQIECBAgACBlsD7q/92dXXhIECAAAECBAgQIECAwHUFWuGh2rlUBQg7mK5r5UUCBAgQIECAAAECjRTYyQq2LTVy/JomQIAAAQIECBAgUF9AeKhv5gwCBAgQIECAAAECjRQQHho5dk0TIECAAAECBAgQqC8gPNQ3cwYBAgQIECBAgACBRgoID40cu6YJECBAgAABAgQI1BcQHuqbOYMAAQIECBAgQIBAIwWEh0aOXdMECBAgQIAAAQIE6gsID/XNnEGAAAECBAgQIECgkQLCQyPHrmkCBAgQIECAAAEC9QWEh/pmziBAgAABAgQIECDQSAHhoZFj1zQBAgQIECBAgACB+gLCQ30zZxAgQIAAAQIECBBopIDw0Mixa5oAAQIECBAgQIBAfQHhob6ZMwgQIECAAAECBAg0UkB4aOTYNU2AAAECBAgQIECgvoDwUN/MGQQIECBAgAABAgQaKSA8NHLsmiZAgAABAgQIECBQX0B4qG/mDAIECBAgQIAAAQKNFBAeGjl2TRMgQIAAAQIECBCoLyA81DdzBgECBAgQIECAAIFGCggPjRy7pgkQIECAAAECBAjUFxAe6ps5gwABAgQIECBAgEAjBYSHRo5d0wQIECBAgAABAgTqCwgP9c2cQYAAAQIECBAgQKCRAsJDI8euaQIECBAgQIAAAQL1BYSH+mbOIECAAAECBAgQINBIAeGhkWPXNAECBAgQIECAAIH6AsJDfTNnECBAgAABAgQIEGikgPDQyLFrmgABAgQIECBAgEB9AeGhvpkzCBAgQIAAAQIECDRSQHho5Ng1TYAAAQIECBAgQKC+gPBQ38wZBAgQIECAAAECBBopIDw0cuyaJkCAAAECBAgQIFBfQHiob+YMAgQIECBAgAABAo0UEB4aOXZNEyBAgAABAgQIEKgvIDzUN3MGAQIECBAgQIAAgUYKCA+NHLumCRAgQIAAAQIECNQXEB7qmzmDAAECBAgQIECAQCMFhIdGjl3TBAgQIECAAAECBOoLCA/1zZxBgAABAgQIECBAoJECwkMjx65pAgQIECBAgAABAvUFhIf6Zs4gQIAAAQIECBAg0EgB4aGRY9c0AQIECBAgQIAAgfoCwkN9M2cQIECAAAECBAgQaKSA8NDIsWuaAAECBAgQIECAQH0B4aG+mTMIECBAgAABAgQINFJAeGjk2DVNgAABAgQIECBAoL6A8FDfzBkECBAgQIAAAQIEGikgPDRy7JomQIAAAQIECBAgUF9AeKhv5gwCBAgQIECAAAECjRQQHho5dk0TIECAAAECBAgQqC8gPNQ3cwYBAgQIECBAgACBRgoID40cu6YJECBAgAABAgQI1BcQHuqbOYMAAQIECBAgQIBAIwWEh0aOXdMECBAgQIAAAQIE6gsID/XNnEGAAAECBAgQIECgkQLCQyPHrmkCBAgQIECAAAEC9QWEh/pmziBAgAABAgQIECDQSAHhoZFj1zQBAgQIECBAgACB+gLCQ30zZxAgQIAAAQIECBBopIDw0Mixa5oAAQIECBAgQIBAfQHhob6ZMwgQIECAAAECBAg0UkB4aOTYNU2AAIH3Fnjr0g9iuKsruroeih9c+t/dB73+nzF+110x/IPn463dr/oOAQIECHS4gPDQ4QPWHgECBPYu8Fa8cfmFeK51wtPxxNMvvSsgvBWvP/OzePzl++Nv7r8n/AOyd1lHEiBAoFME/N3fKZPUBwECBG5Z4P/ilZdeiJfv/Lv453+6L5af+K944R23F3Ze/0Tcc+QDt1zNBQgQIEAgn4DwkG9mVkyAAIGDEXjrpXj6iafjzodPxaN/+/fxD8+dj3//79euqvVGXP71ixGf+UT0fdg/H1fB+JIAAQKNEfC3f2NGrVECBAjcQOCN38evn4v4zCfvig/fdiKGH34l/uXfLsbrO6e9/mwsPf6LuLP/njjiX48dFb8TIECgUQL++m/UuDVLgACBawu89cpLsf7yXdF/z+3xvuiNe4eHIh7/WTzz+p/2Lv3p9b+Kh4dPxG3XvoxXCBAgQKCDBYSHDh6u1ggQILB3gbcflr5zKIbv7Y2I98Vt9345Ho7lWHpmMyJ2Hqb+y/hk34f3fllHEiBAgEBHCQgPHTVOzRAgQOBmBTbjmaXlePnq5xlaW5ciHl96Nl4PD0vfrKzzCBAg0EkCwkMnTVMvBAgQuFmBt/4nXlr//bueZ7hq69JrL779MPWX497b/NNxs8zOI0CAQHYB/wJkn6D1EyBAYD8Ern5Y+sr1rtq69LNf/Plh6iuv+4IAAQIEmiYgPDRt4volQIDALoHrfPjbbX8dj/zjJ2PtPy7E2pWHqXddwDcIECBAoCECwkNDBq1NAgQIXFvges8z/EV84v4H4gPz/xpPhYelr23oFQIECDRDoGt7e3u7arWrqyve/rIZneuSAAECBAgQIECAAIE9Cexkhffv6WgHESBAgACBmxDY3NyM3/3ud/Hss8/G+vp6vPrqq/GjH/3oJq7kFAIECBBoBwHhoR2mYA0ECBBILvDmm2/GxsZGXLx4MX75y1/G888/Hz/+8Y/jyJEjrc5eeeWV1u8PPvhg8k4tnwABAs0WsG2p2fPXPQECBPZFYHV1Ne6///7rXuuOO+6In//853Hs2LHrHudFAgQIEGg/gZ1tSx6Ybr/ZWBEBAgTSCQwMDMQ3vvGN6677gQceEByuK+RFAgQItL+AOw/tPyMrJECAQAqBauvSiRMn4oUXXti13jvvvDOeeuop4WGXjG8QIEAgh4A7DznmZJUECBBII9Dd3R0/+clP4kMf+tCuNX/xi18UHHap+AYBAgTyCdi2lG9mVkyAAIG2FKjeTanaunT69Om4/fbbr6zxIx/5SExMTFz5sy8IECBAIK+A8JB3dlZOgACBthGYn5+PRx99NGZmZqL6+qtf/eqVtX3lK19x1+GKhi8IECCQW8AzD7nnZ/UECBA4VIHqcxzGx8dba/jud78bvb29ra+r7997773xxhtvxNNPPy08HOqUFCdAgMCtC3jm4dYNXYEAAQKNFqi2KY2MjMTg4GDMzs5eCQ4VShUizp8/H4899pjg0OifEs0TINBpAu48dNpE9UOAAIEDFqjeVWlubq61PanaptTf33/AFV2eAAECBA5bYOfOg0+YPuxJqE+AAIFEApcvX47Jycno6emJlZWVqN5hyS8CBAgQaI6AB6abM2udEiBA4JYEqk+RPnXqVIyOjsbU1JTgcEuaTiZAgEBOAXcecs7NqgkQIFBMoNqmND09HU8++WQsLCx4hqGYvEIECBBoPwF3HtpvJlZEgACBthGotimNjY211lNtUzp27FjbrM1CCBAgQKC8gDsP5c1VJECAQAqB5eXlGB4ejqWlpRgaGkqxZoskQIAAgYMVEB4O1tfVCRAgkE5gZ5vS2tpabGxsRF9fX7oeLJgAAQIEDkbAtqWDcXVVAgQIpBS4dOlSnDx5srX2xcVFwSHlFC2aAAECByfgzsPB2boyAQIEUglUH+p25syZ1sPRAwMDqdZusQQIECBQRkB4KOOsCgECBNpWoNqmNDExEVtbW61PhbZNqW1HZWEECBA4dAHblg59BBZAgACBwxNYX19vbVM6fvx4nD171jalwxuFygQIEEgh4M5DijFZJAECBPZfYH5+Ps6dOxczMzPR39+//wVckQABAgQ6TkB46LiRaogAAQLXF9jc3Izx8fHWQRcuXIje3t7rn+BVAgQIECDwtoBtS34UCBAg0CCB1dXVGBkZicHBwZidnRUcGjR7rRIgQGA/BNx52A9F1yBAgECbC1QPRc/NzUW1VWlhYcEnRbf5vCyPAAEC7SogPLTrZKyLAAEC+yRw+fLlmJycjJ6enlhZWYnu7u59urLLECBAgEDTBGxbatrE9UuAQKMElpeX49SpUzE6OhpTU1OCQ6Omr1kCBAjsv4A7D/tv6ooECBA4dIFqm9L09HSsra3ZpnTo07AAAgQIdI6AOw+dM0udECBAoCVQbVMaGxtrfb24uOj5Bj8XBAgQILBvAu487BulCxEgQODwBaptSsPDw7G0tBRDQ0OHvyArIECAAIGOEhAeOmqcmiFAoKkC1TaliYmJuHTpUmxsbPik6Kb+IOibAAECByxg29IBA7s8AQIEDlqgCgwnT56Mo0ePRrVNqa+v76BLuj4BAgQINFTAnYeGDl7bBAh0hsD58+fjzJkzrYejBwYGOqMpXRAgQIBA2woID207GgsjQIDAtQU2NzdboWFrayuqAOFuw7WtvEKAAAEC+ydg29L+WboSAQIEigisr6/HyMhIHD9+PM6ePSs4FFFXhAABAgQqAXce/BwQIEAgkcD8/HycO3cuZmZmor+/P9HKLZUAAQIEOkFAeOiEKeqBAIGOF6i2KY2Pj7f6vHDhQvT29nZ8zxokQIAAgfYTsG2p/WZiRQQIEHiHwOrqamub0uDgYMzOzgoO79DxBwIECBAoKeDOQ0lttQgQIFBDoPrshrm5uai2Ki0sLPik6Bp2DiVAgACBgxEQHg7G1VUJECBwSwKXL1+OycnJ6OnpiZWVleju7r6l6zmZAAECBAjsh4BtS/uh6BoECBDYR4Hl5eU4depUjI6OxtTUlOCwj7YuRYAAAQK3JuDOw635OZsAAQL7JlBtU5qeno61tTXblPZN1YUIECBAYD8F3HnYT03XIkCAwE0KVNuUxsbGWmcvLi56vuEmHZ1GgAABAgcr4M7Dwfq6OgECBG4oUG1TGh4ejqWlpRgaGrrh8Q4gQIAAAQKHJSA8HJa8ugQINF6g2qY0MTERly5dio2NDZ8U3fifCAAECBBofwHbltp/RlZIgEAHClSB4eTJk3H06NGotin19fV1YJdaIkCAAIFOE3DnodMmqh8CBNpe4Pz583HmzJnWw9EDAwNtv14LJECAAAECOwLCw46E3wkQIHDAApubm63QsLW1FVWAcLfhgMFdngABAgT2XcC2pX0ndUECBAjsFlhfX4+RkZE4fvx4zM7OCg67iXyHAAECBBIIuPOQYEiWSIBAboH5+fk4d+5czMzMRH9/f+5mrJ4AAQIEGi0gPDR6/JonQOAgBaptSuPj460SFy5ciN7e3oMs59oECBAgQODABWxbOnBiBQgQaKLA6upqa5vS6Ohoa5uS4NDEnwI9EyBAoPME3HnovJnqiACBQxSoPrthbm4uqq1KCwsLPin6EGehNAECBAjsv4DwsP+mrkiAQEMFLl++HJOTk9HT0xMrKyvR3d3dUAltEyBAgECnCti21KmT1RcBAkUFlpeX4+67745qm9LU1JTgUFRfMQIECBAoJeDOQylpdQgQ6EiBapvS9PR0rK2txcbGhrdg7cgpa4oAAQIEdgTcediR8DsBAgRqClTblMbGxlpnLS4uCg41/RxOgAABAvkE3HnINzMrJkCgDQSqT4g+ffp0LC0txdDQUBusyBIIECBAgMDBCwgPB2+sAgECHSRQbVOamJiIra0t25Q6aK5aIUCAAIG9Cdi2tDcnRxEgQCAuXboUJ0+ejKNHj8bZs2dtU/IzQYAAAQKNE3DnoXEj1zABAjcjUG1TOnPmTOvh6IGBgZu5hHMIECBAgEB6AeEh/Qg1QIDAQQpsbm7G+Ph4q0QVIPr6+g6ynGsTIECAAIG2FrBtqa3HY3EECBymwPr6eoyMjMTg4GDMzs4KDoc5DLUJECBAoC0E3HloizFYBAEC7SYwPz8f586di5mZmejv72+35VkPAQIECBA4FAHh4VDYFSVAoF0Fqs9umJycbC3vwoUL0dvb265LtS4CBAgQIFBcwLal4uQKEiDQrgKrq6tx6tSpGB0dbW1TEhzadVLWRYAAAQKHJeDOw2HJq0uAQNsIVJ/dMDc3F9VWpYWFhTh27FjbrM1CCBAgQIBAOwkID+00DWshQKC4wM42pZ6enlhZWYnu7u7ia1CQAAECBAhkEbBtKcukrJMAgX0XWF5ejrvvvru1TWlqakpw2HdhFyRAgACBThNw56HTJqofAgRuKFBtU5qeno61tbXY2NjwFqw3FHMAAQIECBD4k4A7D34SCBBolEC1TWlsbKzV8+LiouDQqOlrlgABAgRuVcCdh1sVdD4BAocqUL1D0tLSUvzmN79prePjH/94DA8Px8DAwK51VZ8Qffr06dbxQ0NDu173DQIECBAgQOD6AsLD9X28SoBAmwpUdxAeeuih+NWvfhWvvfbaO1b5ve99r/WOSY8//njr92qb0sTERGxtbdmm9A4pfyBAgAABAvUEura3t7erU7q6uuLtL+tdwdEECBAoLLC+vh6f/exn91T1ySefjO985zvx9a9/PR555BEPRe9JzUEECBAgQOCdAjtZQXh4p4s/ESDQ5gLVXYRPf/rT8dvf/nZPK/3gBz8YP/3pT1vvqLSnExxEgAABAgQI7BLYCQ8emN5F4xsECLSzwA9/+MM9B4eqjz/+8Y/x3HPPtXNL1kaAAAECBNIIuPOQZlQWSoBAJXDfffe13mK1jsbHPvaxePHFF+uc4lgCBAgQIEDgKoGdOw/Cw1UoviRAoP0Fqr+8bubXH/7wB8873AyccwgQIECAwFXPR3u3JT8OBAh0vMCJEyda77J07Nix1ptDvLvhd79ZxHsFlL0cU1336uPe6zo3c0x1zntd6+paB33Mzaz7vdb87usc9Lr3YvTuNe1l3Xs5Zq+9Vcf5RYAAgSwC7jxkmZR1EiDQErjW/7TdiOfd/xN5o+O9ToAAAQIECPxZoPr3t/q31APTfzbxFQECCQRGRkZqr/ILX/hC7XOcQIAAAQIECOwWEB52m/gOAQJtLPDNb34zPvrRj+55hUeOHInHHntsz8c7kAABAgQIELi2gPBwbRuvECDQhgJf+tKX4vOf//yeV/a5z30uvva1r+35eAcSIECAAAEC1xYQHq5t4xUCBNpU4IknnogHH3zwhqsbHByM73//+95l6YZSDiBAgAABAnsTEB725uQoAgTaSKC7uzuqAPHtb3/7mqv61re+FUtLS9HX13fNY7xAgAABAgQI1BPwbkv1vBxNgECbCbz55ptx8eLFePXVV1sru+OOO+JTn/pU9Pb2ttlKLYcAAQIECOQV2Hm3JeEh7wytnAABAgQIECBAgEARgZ3wYNtSEW5FCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz43B2vAAAAQgSURBVFAHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoICA9FmBUhQIAAAQIECBAgkF9AeMg/Qx0QIECAAAECBAgQKCIgPBRhVoQAAQIECBAgQIBAfgHhIf8MdUCAAAECBAgQIECgiIDwUIRZEQIECBAgQIAAAQL5BYSH/DPUAQECBAgQIECAAIEiAsJDEWZFCBAgQIAAAQIECOQXEB7yz1AHBAgQIECAAAECBIoIdG1vb293dXUVKaYIAQIECBAgQIAAAQJ5Bd5fLX17eztvB1ZOgAABAgQIECBAgEARgf8HBi/cH16XD7oAAAAASUVORK5CYII="></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the magnitude of the net force <em>F </em>on the ball is given by the following equation.</p>
<p>Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â \[F = \frac{{mg}}{{\tan \theta }}\]</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The radius of the bowl is 8.0 m and <em>θ</em> = 22°. Determine the speed of the ball.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline whether this ball can move on a horizontal circular path of radius equal to the radius of the bowl.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A second identical ball is placed at the bottom of the bowl and the first ball is displaced so that its height from the horizontal is equal to 8.0 m.</p>
<p>Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â <img src="images/Schermafbeelding_2018-08-12_om_13.41.19.png" alt="M18/4/PHYSI/SP2/ENG/TZ2/01.d"></p>
<p>The first ball is released and eventually strikes the second ball. The two balls remain in contact. Determine, in m, the maximum height reached by the two balls.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>towards the centre <strong>«</strong>of the circle<strong>» </strong>/ horizontally to the right</p>
<p>Â </p>
<p><em>Do not accept towards the centre of the bowl</em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>downward vertical arrow of any length</p>
<p>arrow of correct length</p>
<p>Â </p>
<p><em>Judge the length of the vertical arrow by eye. The construction lines are not required. A label is not required</em></p>
<p><em>eg</em>:Â <img src="images/Schermafbeelding_2018-08-12_om_13.22.33.png" alt="M18/4/PHYSI/SP2/ENG/TZ2/01.a.ii"></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><em>ALTERNATIVE 1</em></strong></p>
<p><em>F</em> = <em>N</em> cos <em>θ</em></p>
<p><em>mg</em> = <em>N</em> sin <em>θ</em></p>
<p>dividing/substituting to get result</p>
<p>Â </p>
<p><strong><em>ALTERNATIVE 2</em></strong></p>
<p>right angle triangle drawn with <em>F</em>, <em>N </em>and <em>W/mg </em>labelled</p>
<p>angle correctly labelled and arrows on forces in correct directions</p>
<p>correct use of trigonometry leading to the required relationship</p>
<p>Â </p>
<p><img src="images/Schermafbeelding_2018-08-12_om_13.28.39.png" alt="M18/4/PHYSI/SP2/ENG/TZ2/01.a.ii"></p>
<p><em>tan θ</em> = \(\frac{{\text{O}}}{A} = \frac{{mg}}{F}\)</p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{mg}}{{\tan \theta }}\) =Â <em>m</em>\(\frac{{{v^2}}}{r}\)</p>
<p><em>r</em> = <em>R</em> cos <em>θ</em></p>
<p><em>v</em> =Â \(\sqrt {\frac{{gR{{\cos }^2}\theta }}{{\sin \theta }}} /\sqrt {\frac{{gR\cos \theta }}{{\tan \theta }}} /\sqrt {\frac{{9.81 \times 8.0\cos 22}}{{\tan 22}}} \)</p>
<p><em>v</em> = 13.4/13 <strong>«</strong><em>ms <sup>–</sup></em><em><sup>1</sup></em><strong>»</strong></p>
<p>Â </p>
<p><em>Award </em><strong><em>[4] </em></strong><em>for a bald correct answer<span class="Apple-converted-space">Â </span></em></p>
<p><em>Award </em><strong><em>[3] </em></strong><em>for an answer of 13.9/14 </em><strong>«</strong><em>ms <sup>–</sup></em><em><sup>1</sup></em><strong>»</strong><em>. MP2 omitted</em></p>
<p><strong><em>[4 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>there is no force to balance the weight/N is horizontal</p>
<p>so no / it is not possible</p>
<p>Â </p>
<p><em>Must see correct justification to award MP2</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>speed before collision <em>v</em> = <strong>«</strong>\(\sqrt {2gR} \) =<strong>»</strong> 12.5 <strong>«</strong>ms<sup>–1</sup><strong>»</strong></p>
<p><strong>«</strong>from conservation of momentum<strong>» </strong>common speed after collision is \(\frac{1}{2}\) initial speed <strong>«</strong><em>v<sub>c</sub></em> = \(\frac{{12.5}}{2}\) = 6.25 ms<sup>–1</sup><strong>»</strong></p>
<p><em>h = </em><strong>«</strong>\(\frac{{{v_c}^2}}{{2g}} = \frac{{{{6.25}^2}}}{{2 \times 9.81}}\)<strong>»</strong> 2.0 <strong>«</strong>m<strong>»</strong></p>
<p>Â </p>
<p><em>Allow 12.5 from incorrect use of kinematics equations</em></p>
<p><em>Award </em><strong><em>[3] </em></strong><em>for a bald correct answer</em></p>
<p><em>Award </em><strong><em>[0] </em></strong><em>for mg(8)Â =Â 2mgh leading to h = 4 m if done in one step.</em></p>
<p><em>Allow ECF from MP1</em></p>
<p><em>Allow ECF from MP2</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the use of energy resources.</p>
</div>
<div class="specification">
<p class="p1">Electrical energy is obtained from tidal energy at La Rance in France.</p>
<p class="p1">Water flows into a river basin from the sea for six hours and then flows from the basin back to the sea for another six hours. The water flows through turbines and generates energy during both flows.</p>
<p class="p1">The following data are available.</p>
<p class="p1"><span class="Apple-converted-space"> </span>Area of river basin <span class="Apple-converted-space"> </span>\( = 22{\text{ k}}{{\text{m}}^{\text{2}}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Change in water level of basin over six hours <span class="Apple-converted-space"> </span>\( = 6.0{\text{ m}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Density of water <span class="Apple-converted-space"> </span>\( = 1000{\text{ kg}}\,{{\text{m}}^{ - 3}}\)</p>
</div>
<div class="specification">
<p class="p1">Nuclear reactors are used to generate energy. In a particular nuclear reactor, neutrons collide elastically with carbon-12 nuclei \(\left( {_{\;{\text{6}}}^{{\text{12}}}{\text{C}}} \right)\) that act as the moderator of the reactor. A neutron with an initial speed of \(9.8 \times {10^6}{\text{ m}}\,{{\text{s}}^{ - 1}}\) collides head-on with a stationary carbon-12 nucleus. Immediately after the collision the carbon-12 nucleus has a speed of \(1.5 \times {10^6}{\text{ m}}\,{{\text{s}}^{ - 1}}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the difference between renewable and non-renewable energy sources.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i)<span class="Apple-converted-space"> </span>The basin empties over a six hour period. Show that about \(6000{\text{ }}{{\text{m}}^3}\) of water flows through the turbines every second.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Show that the average power that the water can supply over the six hour period is about 0.2 GW.</p>
<p class="p2">(iii) <span class="Apple-converted-space"> </span>La Rance tidal power station has an energy output of \(5.4 \times {10^8}{\text{ kW}}\,{\text{h}}\) per year. Calculate the overall efficiency of the power station. Assume that the water can supply 0.2 GW at all times.</p>
<p class="p2">Energy resources such as La Rance tidal power station could replace the use of</p>
<p class="p2">fossil fuels. This may result in an increase in the average albedo of Earth.</p>
<p class="p2">(iv) <span class="Apple-converted-space"> </span>State <strong>two </strong>reasons why the albedo of Earth must be given as an average value.</p>
<div class="marks">[10]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>State the principle of conservation of momentum.</p>
<p class="p2">(ii) <span class="Apple-converted-space"> </span>Show that the speed of the neutron immediately after the collision is about \(8.0 \times {10^6}{\text{ m}}\,{{\text{s}}^{ - 1}}\).</p>
<p class="p2">(iii) <span class="Apple-converted-space"> </span>Show that the fractional change in energy of the neutron as a result of the collision</p>
<p class="p2">is about 0.3.</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>Estimate the minimum number of collisions required for the neutron to reduce its initial energy by a factor of \({10^6}\).</p>
<p class="p1">(v) <span class="Apple-converted-space"> </span>Outline why the reduction in energy is necessary for this type of reactor to function.</p>
<div class="marks">[10]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">only non-renewable is depleted/cannot re-generate whereas renewable can / consumption rate of non-renewables is greater than formation rate and consumption rate of renewables is less than formation rate;</p>
<p class="p1"><em>Do not allow “cannot be used again”.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>volume released = \((22 \times {10^6} \times 6 = ){\text{ }}1.32 \times {10^8}{\text{ (}}{{\text{m}}^3}{\text{)}}\);</p>
<p class="p1">volume per second \(\frac{{1.32 \times {{10}^8}}}{{6 \times 3600}}{\text{ }}( = 6111{\text{ }}{{\text{m}}^3})\);</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>use of average depth for calculation (3 m);</p>
<p class="p1">gpe lost \(6100 \times 1000 \times 9.81 \times 3\);</p>
<p class="p1">0.18 (GW);</p>
<p class="p2"><span class="s1"><em>Accept </em></span><em>g = 10 m</em>\(\,\)<em>s<sup>–2</sup>.</em></p>
<p class="p1"><em>Award </em><strong><em>[1 max] </em></strong><em>if 6 m is used and an “average” is used at end of solution without mention of average depth.</em></p>
<p class="p1"><span class="s2">(iii) <span class="Apple-converted-space"> </span></span>converts/states output with units; } <em>(allow values quoted from question without unit)</em></p>
<p class="p1">converts/states input with units; } <em>(allow values quoted from question without unit)</em></p>
<p class="p1">calculates efficiency from \(\frac{{{\text{output}}}}{{{\text{input}}}}\) as 0.31;</p>
<p class="p1"><em>Award </em><strong><em>[3] </em></strong><em>for bald correct answer.</em></p>
<p class="p1"><em>eg</em>:</p>
<p class="p1">power output \(\frac{{5.4 \times {{10}^8}}}{{365 \times 24 \times 3600}}{\text{ }}\left( { = 17{\text{ kW}}\,{\text{h}}\,{{\text{s}}^{ - 1}}} \right)\);</p>
<p class="p1">\( = 17 \times 3600000 = 6.16 \times {10^7}{\text{ (W)}}\);</p>
<p class="p1">efficiency = \(\left( {\frac{{6.16 \times {{10}^7}}}{{2.0 \times {{10}^8}}} = } \right){\text{ }}31\% \)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)0.31;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">0.2 GW is \(1.752 \times {10^9}{\text{ (kW}}\,{\text{h}}\,{\text{yea}}{{\text{r}}^{ - 1}}{\text{)}}\);</p>
<p class="p1">\(\frac{{5.4 \times {{10}^8}}}{{1.752 \times {{10}^9}}}\);</p>
<p class="p2">efficiency \( = 0.31\);</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>cloud cover / weather conditions;</p>
<p class="p1">latitude;</p>
<p class="p1">time of year / season;</p>
<p class="p1">nature/colour of surface;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="s1">(i) <span class="Apple-converted-space"> </span></span>(total) momentum unchanged before and after collision / momentum of a system is constant; } <em>(allow symbols if explained)</em></p>
<p class="p1">no external forces / isolated system / closed system;</p>
<p class="p1"><em>Do not accept “conserved”.</em></p>
<p class="p1"><span class="s1">(ii) <span class="Apple-converted-space"> </span></span>final momentum of neutron \( = {\text{neutron mass}} \times 9.8 \times {10^6} - 1{\text{u}} \times 12 \times 1.5 \times {10^6}\); } <em>(allow any appropriate and consistent mass unit)</em></p>
<p class="p1">final speed of neutron \( = 8.0\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)\(8.2 \times {10^6}{\text{ (m}}\,{{\text{s}}^{ - 1}}{\text{)}}\);</p>
<p class="p1">\(\left( { \approx {\text{8.0}} \times {\text{1}}{{\text{0}}^6}{\text{ (m}}\,{{\text{s}}^{ - 1}}{\text{)}}} \right)\)</p>
<p class="p1"><em>Allow use of 1 u for both masses giving an answer of 8.2 </em>\( \times \)<em> 10<sup>6</sup> (m</em>\(\,\)<em>s</em><span class="s2"><em><sup>–1</sup>).</em></span></p>
<p class="p1"><span class="s1">(iii) <span class="Apple-converted-space"> </span></span>initial energy of neutron \( = 8.04 \times {10^{ - 14}}{\text{ (J)}}\) <span style="text-decoration: underline;">and</span> final energy of neutron \( = 5.36 \times {10^{ - 14}}{\text{ (J)}}\); } <em>(both needed)</em></p>
<p class="p1">fractional change in energy \( = \left( {\frac{{(8.04 - 5.36)}}{{8.04}} = } \right){\text{ }}0.33\);</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">fractional change \( = \left( {\frac{{\frac{1}{2}mv_{\text{i}}^2 - \frac{1}{2}mu_{\text{f}}^2}}{{\frac{1}{2}mv_{\text{i}}^2}}} \right)\); }<em>(allow any algebra that shows a subtraction of initial term from final term divided by initial value)</em></p>
<p class="p1">\(\left( { = \frac{{{{(9.8 \times {{10}^6})}^2} - {{(8.0 \times {{10}^6})}^2}}}{{{{(9.8 \times {{10}^6})}^2}}}} \right)\)<em> (allow omission of 10<sup>6</sup>)</em></p>
<p class="p1">\( = 0.33\); <em>(allow 0.30 if 8.2 used)</em></p>
<p class="p1"><em>Do not allow ECF if there is no subtraction of energies in first marking point.</em></p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>\({(0.33)^n} = {10^{ - 6}}\);</p>
<p class="p1">\(n = 13\); <em>(allow n = 12 if 0.3 is used)</em></p>
<p class="p1">(v) <span class="Apple-converted-space"> </span>neutrons produced in fission have large energies;</p>
<p class="p1">greatest probability of (further) fission/absorption (when incident neutrons have thermal energy or low energy);</p>
<p class="p1"><em>Do not accept “reaction” for “fission reaction”.</em></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Many candidates continue to give weak responses to questions in which they are asked to compare renewable and non-renewable resources. Although the “it cannot be used again” answer has largely disappeared, many candidates still fail to appreciate that the issue is about the rate at which the resource can be replaced.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>This was often well done, although occasional recourse was made to inappropriate physics (see bii). Candidates should note that in questions where the final answer is quoted (typically “Show that …..” questions) candidates are strongly advised to quote answers to one more significant figure than in the question.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>The rare candidate who understood the physics here was able to give a clear account of the solution. Many failed to spot the factor of a half in the water level change and introduced a factor of two later and arbitrarily. Others completely misunderstood the (simple) nature of the problem and used a random equation from the data booklet (usually \(1/3\rho A{v^3}\)). This of course gained no marks. A simple initial diagram would have helped many to avoid errors.</p>
<p class="p1">(iii)<span class="Apple-converted-space"> </span>As in question 1 there were far too many candidates who clearly do not understand and have not practised the problem of converting between energy units. Effective use of units would have made this an easy calculation. Explanations were few and candidates were clearly struggling with this aspect of energy.</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>Many candidates were able to give one coherent reason but two distinct answers were rare.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) As is often the case with this question, candidates state that “momentum is conserved” and fail to explain what this means. There was much confusion with energy conservation rules.</p>
<p class="p1">(ii) Calculations of the final speed of the neutron were confused with little or no explanation of the equations. It was often not clear what mass values (if any) were being used in the solution.</p>
<p class="p1">(iii) There were few clear solutions to this problem. Some candidates did not appreciate the meaning of fractional energy change and others were still travelling along the momentum route from an earlier part, scoring few, if any, marks.</p>
<p class="p1">(iv) Candidates had evidently not considered the mechanical issues of moderation in their learning. There was little recognition that the change in fractional energy is 0.33\(n\) where \(n\) is the number of collisions. The most frequent answer was that the change is 0.33\(n\).</p>
<p class="p1">(v) There was more clarity about the reasons for moderation but even so, answers were poorly expressed. Only a minority recognised that the probability of absorption is greatest at low neutron incident energy.</p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about the production of energy in nuclear fission. <strong>Part 2 </strong>is about collisions.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1 </strong>Production of energy in nuclear fission</p>
</div>
<div class="specification">
<p class="p1">A possible fission reaction is</p>
<p class="p1">\[_{\;92}^{235}U + _0^1n \to _{36}^{92}Kr + _{\;56}^{141}Ba + x_0^1n.\]</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Collisions</p>
</div>
<div class="specification">
<p class="p1">In an experiment, an air-rifle pellet is fired into a block of modelling clay that rests on a table.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_18.13.15.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B3.Part2.b"></p>
<p class="p1">The air-rifle pellet remains inside the clay block after the impact.</p>
<p class="p1">As a result of the collision, the clay block slides along the table in a straight line and comes to rest. Further data relating to the experiment are given below.</p>
<p class="p1">\[\begin{array}{*{20}{l}} {{\text{Mass of air - rifle pellet}}}&{ = 2.0{\text{ g}}} \\ {{\text{Mass of clay block}}}&{ = 56{\text{ g}}} \\ {{\text{Velocity of impact of air - rifle pellet}}}&{ = 140{\text{ m}}\,{{\text{s}}^{ - 1}}} \\ {{\text{Stopping distance of clay block}}}&{ = 2.8{\text{ m}}} \end{array}\]</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) State the value of \(x\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Show that the energy released when one uranium nucleus undergoes fission in the reaction in (a) is about \(2.8 \times {10^{ - 11}}{\text{ J}}\).</p>
<p class="p1">\[\begin{array}{*{20}{l}} {{\text{Mass of neutron}}}&{ = 1.00867{\text{ u}}} \\ {{\text{Mass of U - 235 nucleus}}}&{ = 234.99333{\text{ u}}} \\ {{\text{Mass of Kr - 92 nucleus}}}&{ = 91.90645{\text{ u}}} \\ {{\text{Mass of Ba - 141 nucleus}}}&{ = 140.88354{\text{ u}}} \end{array}\]</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>State how the energy of the neutrons produced in the reaction in (a) is likely to compare with the energy of the neutron that initiated the reaction.</p>
<div class="marks">[6]</div>
<div class="question_part_label">Part1.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline the role of the moderator.</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part1.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A nuclear power plant that uses U-235 as fuel has a useful power output of 16 MW and an efficiency of 40%. Assuming that each fission of U-235 gives rise to \(2.8 \times {10^{ - 11}}{\text{ J}}\) of energy, determine the mass of U-235 fuel used per day.</p>
<div class="marks">[4]</div>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the principle of conservation of momentum.</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Show that the initial speed of the clay block after the air-rifle pellet strikes it is \(4.8{\text{ m}}\,{{\text{s}}^{ - 1}}\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Calculate the average frictional force that the surface of the table exerts on the clay block whilst the clay block is moving.</p>
<div class="marks">[6]</div>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Discuss the energy transformations that occur in the clay block and the air-rifle pellet from the moment the air-rifle pellet strikes the block until the clay block comes to rest.</p>
<div class="marks">[3]</div>
<div class="question_part_label">Part2.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The clay block is dropped from rest from the edge of the table and falls vertically to the ground. The table is 0.85 m above the ground. Calculate the speed with which the clay block strikes the ground.</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part2.d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>3;</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\(\Delta m = 234.99333 - 91.90645 - 140.88354 - [2 \times 1.00867]\);</p>
<p class="p1">\( = 0.186{\text{ (u)}}\);</p>
<p class="p1">\({\text{energy released}} = 0.186 \times 931 = 173{\text{ }}({\text{MeV)}}\);</p>
<p class="p1">\(173 \times {10^6} \times 1.6 \times {10^{ - 19}}\);</p>
<p class="p1">\(( = 2.768) \approx 2.8 \times {10^{ - 11}}{\text{ (J)}}\)</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">\(\Delta m = 234.99333 - 91.90645 - 140.88354 - [2 \times 1.00867]\);</p>
<p class="p1">\( = 0.186{\text{ (u)}}\);</p>
<p class="p1">\({\text{mass converted}} = 0.186 \times 1.66 \times {10^{ - 27}}{\text{ }}( = 3.09 \times {10^{ - 28}})\);</p>
<p class="p1">(use of \(E = m{c^2}\)) \({\text{energy}} = 3.09 \times {10^{ - 28}} \times 9 \times {10^{ - 16}}\);</p>
<p class="p1">\(( = 2.77) \approx 2.8 \times {10^{ - 11}}{\text{ (J)}}\)</p>
<p class="p1"><em>Award </em><strong><em>[2 max] </em></strong><em>if mass difference is incorrect.</em></p>
<p class="p1"><em>If candidate carries forward an incorrect value from (a)(i) [2 is common], treat this as ecf in (a)(ii).</em></p>
<p class="p1"><em>Award </em><strong><em>[3 max] </em></strong><em>if the candidate uses a value for x inconsistent with (a)(i).</em></p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>greater/higher energy;</p>
<div class="question_part_label">Part1.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">reduces neutron speed to (thermal) lower speeds;</p>
<p class="p1">so that chance of initiating fission is higher;</p>
<p class="p1"><em>Accept “fast neutrons cannot cause fission” for 2nd marking point.</em></p>
<div class="question_part_label">Part1.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">40% efficient so 40 (MW) required;</p>
<p class="p1">\(\frac{{40 \times {{10}^6}}}{{2.8 \times {{10}^{ - 11}}}} = 1.43 \times {10^{18}}\) per second;</p>
<p class="p1">number of fissions per day \( = 1.23 \times {10^{23}}\);</p>
<p class="p1">\(\left( { = \frac{{1.23 \times {{10}^{23}} \times 235}}{{6 \times {{10}^{23}}}}} \right) = {\text{48 g per day}}\);</p>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">the total momentum of a system is constant;</p>
<p class="p1">provided external force does not act;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">the momentum of an isolated/closed system;</p>
<p class="p1">is constant;</p>
<p class="p1"><em>Award </em><strong><em>[1] </em></strong><em>for momentum before collision equals collision afterwards.</em></p>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>initial momentum \( = 2.0 \times {10^{ - 3}} \times 140\);</p>
<p class="p1">final speed \(\frac{{2.0 \times {{10}^{ - 3}} \times 140}}{{5.6 \times {{10}^{ - 2}} + 2.0 \times {{10}^{ - 3}}}}\);</p>
<p class="p1">\( = 4.8{\text{ m}}\,{{\text{s}}^{ - 1}}\)</p>
<p class="p1"><em>Watch for incorrect mass values in equation.</em></p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>initial kinetic energy of pellet \( + \) clay block \( = \frac{1}{2}m{v^2}\);</p>
<p class="p1">\(0.5 \times 0.058 \times {4.8^2}{\text{ (}} = 0.67{\text{ J)}}\);</p>
<p class="p1">\({\text{force}} = \frac{{{\text{work done}}}}{{{\text{distance travelled}}}}\);</p>
<p class="p1">\( = 0.24{\text{ N}}\);</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">use of appropriate kinematic equation with consistent sign usage <em>e.g. </em>\(a = \frac{{{u^2} - {v^2}}}{{2s}}\);</p>
<p class="p1">\(a = \frac{{{{4.8}^2}}}{{2 \times 2.8}}\);</p>
<p class="p1">\(F = \frac{{0.058 \times {{4.8}^2}}}{{2 \times 2.8}}\);</p>
<p class="p1">\( = 0.24{\text{ N}}\);</p>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span style="text-decoration: underline;">kinetic</span> energy of pellet is transferred to <span style="text-decoration: underline;">kinetic</span> energy of clay block;</p>
<p class="p1">and internal energy of pellet and clay block;</p>
<p class="p1">clay block loses kinetic energy as thermal energy/heat;</p>
<div class="question_part_label">Part2.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(v = \sqrt {2gs} \);</p>
<p class="p1">\( = 4.1{\text{ m}}\,{{\text{s}}^{ - 1}}\);</p>
<p class="p1"><em>Allow g </em>\( = \)<em> 10 m</em>\(\,\)<em>s<sup>–2</sup> answer 4.1 m</em>\(\,\)<em>s<sup>–2</sup></em></p>
<p class="p1"><em>Award </em><strong><em>[2] </em></strong><em>for bald correct answer.</em></p>
<div class="question_part_label">Part2.d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) A common incorrect answer was 2.</p>
<p class="p2">(ii) Candidates were often able to carry this calculation through to a correct conclusion. It was a “show that” and a high level of explanation was required by examiners and was – in many cases – demonstrated.</p>
<p class="p2">(iii) Reponses here were mostly correct. However, the answer “It has a higher energy” was common. Candidates need to be reminded of the imprecision of such a statement. Is “It” the initiating neutron or the emitted neutron?</p>
<div class="question_part_label">Part1.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Weaker candidates could not distinguish between the role of the moderator and that of the control rods.</p>
<div class="question_part_label">Part1.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Many good calculations were seen but weaker candidates usually arrived at recognition that the required power from the reactor is 40 MW and could go no further.</p>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">When the question is “State the principle of conservation of momentum.” an answer of “momentum is conserved” will attract no marks. The examiner needs to know what “conserved” means. Many omitted the statement that external forces do not act (or similar)</p>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) Careful examination of solutions showed that about one-third of candidate forgot to add the mass of the pellet to the final total mass of the block.</p>
<p class="p2">(ii) This two-stage calculation attracted the same error as part (i) and many power of ten errors through a failure to note the units of mass in the question.</p>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Descriptions of the energy transformations were incomplete and poorly described. There was a general failure to recognise that the pellet transfers its kinetic energy into a number of distinct forms. Candidates are too quick to ascribe energy loss to “friction” without indicating the seat of this energy loss.</p>
<div class="question_part_label">Part2.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Most candidates were able to complete this calculation or to get close to it. Some forgot to evaluate the square root having arrived at the speed squared.</p>
<div class="question_part_label">Part2.d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about Newton’s laws and momentum. <strong>Part 2</strong> is about the greenhouse effect.</p>
<p><strong>Part 1</strong> Newton’s laws and momentum</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> The greenhouse effect</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the condition for the momentum of a system to be conserved.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A person standing on a frozen pond throws a ball. Air resistance and friction can be considered to be negligible.</p>
<p>(i) Outline how Newton’s third law and the conservation of momentum apply as the ball is thrown.</p>
<p>(ii) Explain, with reference to Newton’s second law, why the horizontal momentum of the ball remains constant whilst the ball is in flight.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The maximum useful power output of a locomotive engine is 0.75 M W. The maximum speed of the locomotive as it travels along a straight horizontal track is 44 m s<sup>–1</sup>. Calculate the frictional force acting on the locomotive at this speed.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The locomotive engine in (c) gives a truck X a sharp push such that X moves along a horizontal track and collides with a stationary truck Y. As a result of the collision the two trucks stick together and move off with speed <em>v</em>. The following data are available.</p>
<p style="padding-left: 30px;">Mass of truck X=3.7×10<sup>3 </sup>kg<br>Mass of truck Y=6.3×10<sup>3 </sup>kg<br>Speed of X just before collision=4.0 m s<sup>–1</sup></p>
<p>(i) Calculate <em>v</em>.</p>
<p>(ii) Determine the kinetic energy lost as a result of the collision.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The trucks X and Y come to rest after travelling a distance of 40 m along the horizontal track. Determine the average frictional force acting on X and Y.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Nuclear fuels, unlike fossil fuels, produce no greenhouse gases.</p>
<p>(i) Identify <strong>two</strong> greenhouse gases.</p>
<p>(ii) Discuss, with reference to the mechanism of infrared absorption, why the temperature of the Earth’s surface would be lower if there were no greenhouse gases present in the atmosphere.</p>
<div class="marks">[5]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how an increase in the amount of greenhouse gases in the atmosphere of Earth could lead to an increase in the rate at which glaciers melt and thereby a reduction of the albedo of the Earth’s surface.</p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the net (external) force acting on the system is zero / no force acting on system / system is isolated;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) no external force/system is isolated so change in momentum is zero; { <em>(do not accept momentum is conserved/constant)</em><br>force on ball must be equal and opposite to force on the person;<br>so ball and person/Earth/pond move in opposite directions;</p>
<p>(ii) Newton’s second law states that the rate of change of momentum is equal/proportional/directly proportional to the force acting;<br>the horizontal force acting on the ball is zero therefore the momentum must be constant/the rate of change of momentum is zero;</p>
<p><strong><em>or</em></strong></p>
<p>Newton’s second law can be expressed as the force acting is equal to the product of mass and acceleration;<br>the horizontal force acting on the ball is zero therefore the acceleration is zero so velocity is constant (and therefore momentum is constant);</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(F = \frac{P}{v}\) <em><strong>or</strong></em> \(\frac{{0.75 \times {{10}^6}}}{{44}}\);<br>17kN;</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) 3.7×4.0=10×<em>v</em>;<br><em>v</em>=1.5ms<sup>−1</sup>;</p>
<p>(ii) KE lost\( = \frac{1}{2}\left[ {3.7 \times {{10}^3} \times {{4.0}^2}} \right] - \frac{1}{2}\left[ {10 \times {{10}^3} \times {{1.5}^2}} \right]\);<br>=18kJ;</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>initial KE\( = \left( {\frac{1}{2}\left[ {10 \times {{10}^3} \times {{1.5}^2}} \right] = } \right)11250{\rm{J}}\);<br>friction\( = \frac{{11250}}{{40}}\);<br>=280 N;</p>
<p><em><strong>or</strong></em></p>
<p>use of kinematic equation to give <em>a</em>=0.274ms<sup>–1</sup>;<br>use of <em>F</em>(=<em>ma</em>)=10×10<sup>3</sup><em>a</em>;<br>270/280 N;</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) methane/CH<sub>4</sub>, water vapour/H<sub>2</sub>O, carbon dioxide/CO<sub>2</sub>, nitrous oxide/N<sub>2</sub>O;<br><em>Award <strong>[1]</strong> for any two of the above.</em></p>
<p>(ii) <em>mechanism:</em><br>mention of resonance;<br>natural frequency of (resonating) greenhouse gas molecules is same as that of infrared radiation from Earth;</p>
<p><em><strong>or</strong></em></p>
<p>mention of energy level differences;<br>differences between energy levels of greenhouse gas molecules matches energy of infrared radiation from Earth;</p>
<p><em>explanation:</em><br>less infrared trapped if absorption is reduced;<br>so more infrared is transmitted through atmosphere;</p>
<p><em><strong>or</strong></em></p>
<p>more infrared is trapped if absorption is increased;<br>so more infrared is re-radiated back to Earth;<br><em>Allow only one variant for each alternative.</em></p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>more greenhouse gas therefore more infrared radiated back to Earth;<br>leading to an increase in temperature of glaciers/surface;<br>less glacier area so less reflection from glacier surface / <em>OWTTE</em>;<br>albedo defined as \(\frac{{{\rm{amount of radiation reflected}}}}{{{\rm{amount of radiation absorbed}}}}\) therefore albedo reduced;</p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about the motion of a ship. <strong>Part 2 </strong>is about melting ice.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1</strong> Motion of a ship</p>
</div>
<div class="specification">
<p class="p1">Some cargo ships use kites working together with the ship’s engines to move the vessel.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_08.36.14.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/04_Part1.04.b"></p>
<p class="p1">The tension in the cable that connects the kite to the ship is 250 kN. The kite is pulling the ship at an angle of 39° to the horizontal. The ship travels at a steady speed of \({\text{8.5 m}}\,{{\text{s}}^{ - 1}}\) when the ship’s engines operate with a power output of 2.7 MW.</p>
</div>
<div class="specification">
<p class="p1">The ship’s engines are switched off and the ship comes to rest from a speed of \({\text{7 m}}\,{{\text{s}}^{ - 1}}\) in a time of 650 s.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2</strong> Melting ice</p>
</div>
<div class="specification">
<p class="p1">A container of negligible mass, isolated from its surroundings, contains 0.150 kg of ice at a temperature of –18.7 °C. An electric heater supplies energy at a rate of 125 W.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline the meaning of work.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the work done on the ship by the kite when the ship travels a distance of 1.0 km.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that, when the ship is travelling at a speed of \({\text{8.5 m}}\,{{\text{s}}^{ - 1}}\), the kite provides about 40% of the total power required by the ship.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The kite is taken down and no longer produces a force on the ship. The resistive force \(F\) that opposes the motion of the ship is related to the speed \(v\)<em> </em>of the ship by</p>
<p class="p1">\[F = k{v^2}\]</p>
<p class="p1">where \(k\) is a constant.</p>
<p class="p1">Show that, if the power output of the engines remains at 2.7 MW, the speed of the ship will decrease to about \({\text{7 m}}\,{{\text{s}}^{ - 1}}\). Assume that \(k\) is independent of whether the kite is in use or not.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Estimate the distance that the ship takes to stop. Assume that the acceleration is uniform.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">It is unlikely that the acceleration of the ship will be uniform given that the resistive force acting on the ship depends on the speed of the ship. Using the axes, sketch a graph to show how the speed \(v\) varies with time \(t\) after the ship’s engines are switched off.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_11.57.32.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/04.d.ii"></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Describe, with reference to molecular behaviour, the process of melting ice.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">After a time interval of 45.0 s all of the ice has reached a temperature of 0 °C without any melting. Calculate the specific heat capacity of ice.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The following data are available.</p>
<p class="p1"><span class="Apple-converted-space"> </span>Specific heat capacity of water <span class="Apple-converted-space"> </span>\( = 4200{\text{ J}}\,{\text{k}}{{\text{g}}^{ - 1}}{{\text{K}}^{ - 1}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Specific latent heat of fusion of ice <span class="Apple-converted-space"> </span>\( = 3.30 \times {10^5}{\text{ J}}\,{\text{k}}{{\text{g}}^{ - 1}}\)</p>
<p class="p1">Determine the final temperature of the water when the heater supplies energy for a further 600 s.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The whole of the experiment in (f)(i) and (f)(ii) is repeated with a container of negligible mass that is not isolated from the surroundings. The temperature of the surroundings is 18 °C. Comment on the final temperature of the water in (f)(ii).</p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({\text{work done}} = {\text{force}} \times {\text{distance moved}}\);</p>
<p class="p1">(distance moved) in direction of force;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">energy transferred;</p>
<p class="p1">from one location to another;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">\({\text{work done}} = Fs\cos \theta \);</p>
<p class="p1">with each symbol defined;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({\text{horizontal force}} = 250\,000 \times \cos 39^\circ {\text{ }}( = 1.94 \times {10^5}{\text{ N}})\);</p>
<p class="p1">\({\text{work done}} = 1.9 \times {10^8}{\text{ J}}\);</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({\text{power provided by kite}} = (1.94 \times {10^5} \times 8.5 = ){\text{ }}1.7 \times {10^6}{\text{ W}}\);</p>
<p class="p1">\({\text{total power}} = (2.7 + 1.7) \times {10^6}{\text{ W }}( = 4.4 \times {10^6}{\text{ W}})\);</p>
<p class="p1">\({\text{fraction provided by kite}} = \frac{{1.7}}{{2.7 + 1.7}}\);</p>
<p class="p1">38% <strong><em>or </em></strong>0.38; <em>(must see answer to 2</em><span class="s1">+ </span><em>sig figs as answer is given)</em></p>
<p class="p1"><em>Allow answers in the range of 37 to 39% due to early rounding.</em></p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1"><em>Award </em><strong><em>[3 max] </em></strong><em>for a reverse argument such as:</em></p>
<p class="p1">if 2.7 MW is 60%;</p>
<p class="p1">then kite power is \(\frac{2}{3} \times 2.7{\text{ MW}} = 1.8{\text{ MW}}\);</p>
<p class="p1">shows that kite power is actually 1.7 MW; <em>(QED)</em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(P = (k{v^2}) \times v = k{v^3}\);</p>
<p class="p1">\(\frac{{{v_1}}}{{{v_2}}} = \left( {\sqrt[3]{{\left( {\frac{{{P_1}}}{{{P_2}}}} \right)}} = } \right){\text{ }}\sqrt[3]{{\left( {\frac{{7.7}}{{4.4}}} \right)}}\);</p>
<p class="p1">\({\text{final speed of ship}} = 7.2{\text{ m}}\,{{\text{s}}^{ - 1}}\); <em>(at least 2 sig figs required).</em></p>
<p class="p1"><em>Approximate answer given, marks are for working only.</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">correct substitution of 7 or 7.2 into appropriate kinematic equation;</p>
<p class="p1">an answer in the range of 2200 to 2400 m;</p>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">starts at \(7.0/7.2{\text{ m}}\,{{\text{s}}^{ - 1}}\); <em>(allow ECF from (d)(i))</em></p>
<p class="p1">correct shape;</p>
<p class="p1"><img src="images/Schermafbeelding_2016-09-02_om_12.00.29.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/04.d.ii/M"></p>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">in ice, molecules vibrate about a fixed point;</p>
<p class="p1">as their total energy increases, the molecules (partly) overcome the attractive force between them;</p>
<p class="p1">in liquid water the molecules are able to migrate/change position;</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\((Q = ){\text{ }}45.0 \times 125{\text{ }}( = 5625{\text{ J}})\);</p>
<p class="p1">\(c = \left( {\frac{Q}{{m\Delta \theta }} = } \right){\text{ }}2.01 \times {10^3}{\text{ J}}\,{\text{k}}{{\text{g}}^{ - 1}}{{\text{K}}^{ - 1}}\);</p>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({\text{energy available}} = 125 \times 600{\text{ }}( = 75000{\text{ J}})\);</p>
<p class="p1">\({\text{energy available to warm the water}} = 75000 - [0.15 \times 3.3 \times {10^5}]{\text{ }}( = 25500{\text{ J}})\);</p>
<p class="p1">\({\text{temperature}} = \left( {\frac{{25500}}{{0.15 \times 4200}} = } \right){\rm{ 40.5 ^\circ C}}\);</p>
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">ice/water spends more time below 18 °<span class="s2">C</span>;</p>
<p class="p1">so net energy transfer is in to the system;</p>
<p class="p1">so final water temperature is higher;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">ice/water spends less time below 18 °<span class="s2">C</span>;</p>
<p class="p1">so net energy transfer is out of the system;</p>
<p class="p1">so final water temperature is lower;</p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This is a “show that” question which means that the candidate is obliged to show their line of reasoning. Very few SL candidates did this.</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This was easy using proportionality, but most candidates at SL attempted to calculate k unnecessarily. Even so there were many correct answers.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">A minority of candidates knew that molecules made a transition from being localised to being free to migrate, but had difficulty expressing their answers coherently. Candidates are so used to commenting on the energy transformations when ice melts, that many completely misread the question.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Many good answers, although those that did not get the correct answers presented their working in such a way that part marks (ECF) were not able to be given.</p>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Many good answers, although those that did not get the correct answers presented their working in such a way that part marks (ECF) were not able to be given.</p>
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The significance of the temperature of the surroundings was ignored by nearly all candidates, but most were able to obtain 2 marks for suggesting that thermal energy would be lost to the surroundings causing a lower final temperature.</p>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Electric motor</p>
<p>An electric motor is used to raise a load.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Whilst being raised, the load accelerates uniformly upwards. The weight of the cable is negligible compared to the weight of the load.</p>
<p>(i) Draw a labelled free-body force diagram of the forces acting on the accelerating load. The dot below represents the load.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) The load has a mass of 350 kg and it takes 6.5 s to raise it from rest through a height of 8.0 m.</p>
<p>Determine the tension in the cable as the load is being raised.</p>
<div class="marks">[6]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The electric motor can be adjusted such that, after an initial acceleration, the load moves at constant speed. The motor is connected to a 450 V supply and with the load moving at constant speed, it takes the motor 15 s to raise the load through 7.0 m.</p>
<p>(i) Calculate the power delivered to the load by the motor.</p>
<p>(ii) The current in the motor is 30 A. Estimate the efficiency of the motor.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) upward arrow labelled <em>T</em>/tension/force in cable and downward arrow labelled <em>W</em>/<em>mg</em>/weight/gravity <span style="text-decoration: underline;">force</span>;{<em> (both needed)</em><br>tension arrow length >weight length;</p>
<p>(ii) \(a = \frac{{2s}}{{{t^2}}}\);<br>\(a = \left( {\frac{{2 \times 8.0}}{{{{6.5}^2}}} = } \right)0.38\left( {{\rm{m}}{{\rm{s}}^{ - 2}}} \right)\);<br><em>T</em>=<em>ma</em>+<em>mg <strong>or</strong></em> <em>T</em>=350(0.38+9.8);<br>3.6 kN;<br><em>Allow g=10 N kg<sup>-1</sup> (same answer to 2 sf).</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) change in gpe=350×9.81×7.0(=24kJ);<br>power \(\left( { = \frac{{24 \times {{10}^3}}}{{15}}} \right) = 1.6{\rm{kw}}\);<br><em>Allow g=10Nkg<sup>-1</sup>.</em></p>
<p>(ii) power input to motor=13.5 (kW);<br>efficiency=\(\left( {\frac{{1.6}}{{13.5}} = } \right)0.12\) <em><strong>or</strong></em> 12%;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A girl on a sledge is moving down a snow slope at a uniform speed.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>The sledge, without the girl on it, now travels up a snow slope that makes an angle of 6.5Ëš to the horizontal. At the start of the slope, the speed of the sledge is 4.2 m s<sup>–1</sup>. The coefficient of dynamic friction of the sledge on the snow is 0.11.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw the free-body diagram for the sledge at the position shown on the snow slope.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>After leaving the snow slope, the girl on the sledge moves over a horizontal region of snow. Explain, with reference to the physical origin of the forces, why the vertical forces on the girl must be in equilibrium as she moves over the horizontal region.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>When the sledge is moving on the horizontal region of the snow, the girl jumps off the sledge. The girl has no horizontal velocity after the jump. The velocity of the sledge immediately after the girl jumps off is 4.2 m s<sup>–1</sup>. The mass of the girl is 55 kg and the mass of the sledge is 5.5 kg. Calculate the speed of the sledge immediately before the girl jumps from it.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The girl chooses to jump so that she lands on loosely-packed snow rather than frozen ice. Outline why she chooses to land on the snow.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the acceleration of the sledge is about –2 m s<sup>–2</sup>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the distance along the slope at which the sledge stops moving. Assume that the coefficient of dynamic friction is constant.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The coefficient of static friction between the sledge and the snow is 0.14. Outline, with a calculation, the subsequent motion of the sledge. </p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>arrow vertically downwards labelled weight «of sledge and/or girl»/<em>W</em>/mg/gravitational force/<em>F</em><sub>g</sub>/<em>F</em><sub>gravitational</sub> <em><strong>AND</strong> </em>arrow perpendicular to the snow slope labelled reaction force/<em>R</em>/normal contact force/N/<em>F</em><sub>N</sub></p>
<p>friction force/<em>F</em>/<em>f</em> acting up slope «perpendicular to reaction force»</p>
<p><em>Do not allow G/g/“gravity”.</em></p>
<p><em>Do not award MP1 if a “driving force” is included.</em></p>
<p><em>Allow components of weight if correctly labelled.</em></p>
<p><em>Ignore point of application or shape of object.</em></p>
<p><em>Ignore “air resistance”.</em></p>
<p><em>Ignore any reference to “push of feet on sledge”.</em></p>
<p><em>Do not award MP2 for forces on sledge on horizontal ground</em></p>
<p><em>The arrows should contact the object</em></p>
<p> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>gravitational force/weight from the Earth «downwards»</p>
<p>reaction force from the sledge/snow/ground «upwards»</p>
<p>no vertical acceleration/remains in contact with the ground/does not move vertically as there is no resultant vertical force</p>
<p><em>Allow naming of forces as in (a)</em></p>
<p><em>Allow vertical forces are balanced/equal in magnitude/cancel out</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>mention of conservation of momentum</p>
<p><em><strong>OR</strong></em></p>
<p>5.5 x 4.2 = (55 + 5.5) «v»</p>
<p>0.38 «m s<sup>–1</sup>»</p>
<p><em>Allow p=p′ or other algebraically equivalent statement</em></p>
<p><em>Award <strong>[0]</strong> for answers based on energy</em></p>
<p> </p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>same change in momentum/impulse</p>
<p>the time taken «to stop» would be greater «with the snow»</p>
<p>\(F = \frac{{\Delta p}}{{\Delta t}}\) therefore<em> F</em> is smaller «with the snow»</p>
<p><em><strong>OR</strong></em></p>
<p>force is proportional to rate of change of momentum therefore <em>F</em> is smaller «with the snow»</p>
<p><em>Allow reverse argument for ice</em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«friction force down slope» = <em>μmg</em> cos(6.5) = «5.9 N»</p>
<p>«component of weight down slope» = <em>mg</em> sin(6.5) «= 6.1 N»</p>
<p>«so <em>a</em> = \(\frac{F}{m}\)» acceleration = \(\frac{{12}}{{5.5}}\) = 2.2 «m s<sup>–2</sup>»</p>
<p><em>Ignore negative signs </em></p>
<p><em>Allow use of g = 10 m s<sup>–2</sup></em></p>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>correct use of kinematics equation</p>
<p>distance = 4.4 <em><strong>or</strong> </em>4.0 «m»</p>
<p><em><strong>Alternative 2</strong></em></p>
<p>KE lost=work done against friction + GPE</p>
<p>distance = 4.4 <em><strong>or</strong> </em>4.0 «m»</p>
<p><em>Allow ECF from (e)(i)</em></p>
<p><em>Allow <strong>[1 max]</strong> for GPE missing leading to 8.2 «m»</em></p>
<div class="question_part_label">e.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>calculates a maximum value for the frictional force = «<em>μR=</em>» 7.5 «N»</p>
<p>sledge will not move as the maximum static friction force is greater than the component of weight down the slope</p>
<p><em>Allow correct conclusion from incorrect MP1</em></p>
<p><em>Allow 7.5 > 6.1 so will not move</em></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>An elastic climbing rope is tested by fixing one end of the rope to the top of a crane. The other end of the rope is connected to a block which is initially at position A. The block is released from rest. The mass of the rope is negligible.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-10_om_17.44.22.png" alt="M18/4/PHYSI/SP2/ENG/TZ1/01"></p>
<p>The unextended length of the rope is 60.0 m. From position A to position B, the block falls freely.</p>
</div>
<div class="specification">
<p>At position C the speed of the block reaches zero. The time taken for the block to fall between B and C is 0.759 s. The mass of the block is 80.0 kg.</p>
</div>
<div class="specification">
<p>For the rope and block, describe the energy changes that take place</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>At position B the rope starts to extend. Calculate the speed of the block at position B.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the magnitude of the average resultant force acting on the block between B and C.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Sketch on the diagram the average resultant force acting on the block between B and C. The arrow on the diagram represents the weight of the block.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the magnitude of the average force exerted by the rope on the block between B and C.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>between A and B.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>between B and C.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The length reached by the rope at C is 77.4 m. Suggest how energy considerations could be used to determine the elastic constant of the rope.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>use of conservation of energy</p>
<p><strong><em>OR</em></strong></p>
<p><em>v</em><sup>2</sup> =Â <em>u</em><sup>2</sup>Â + 2<em>as</em></p>
<p>Â </p>
<p><em>v</em> = <strong>«</strong>\(\sqrt {2 \times 60.0 \times 9.81} \)<strong>»</strong> = 34.3 <strong>«</strong>ms<sup>–1</sup><strong>»</strong></p>
<p>Â </p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>use of impulse <em>F</em><sub>ave</sub> × Δ<em>t</em> =<span class="Apple-converted-space"> Δ<em>p</em></span></p>
<p><strong><em>OR</em></strong></p>
<p>use of <em>F</em> = <em>ma</em> with average acceleration</p>
<p><strong><em>OR</em></strong></p>
<p><em>F</em> =Â \(\frac{{80.0 \times 34.3}}{{0.759}}\)</p>
<p>Â </p>
<p>3620<strong>«</strong>N<strong>»</strong></p>
<p>Â </p>
<p><em>Allow ECF from (a).</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>upwards</p>
<p>clearly longer than weight</p>
<p>Â </p>
<p><em>For second marking point allow ECF from (b)(i) providing line is upwards.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>3620 + 80.0<span class="Apple-converted-space"> × </span>9.81</p>
<p>4400 <strong>«</strong>N<strong>»</strong></p>
<p>Â </p>
<p><em>Allow ECF from (b)(i).</em></p>
<p><strong><em>[</em></strong><strong><em>2 marks]</em></strong></p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(loss in) gravitational potential energy (of block) into kinetic energy (of block)</p>
<p>Â </p>
<p><span><em>Must</em></span><em> see names of energy (gravitational potential energy and kinetic energy) – Allow for reasonable variations of terminology (eg energy of motion for KE).</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(loss in) gravitational potential and kinetic energy of block into elastic potential energy of rope</p>
<p>Â </p>
<p><em>See note for 1(c)(i) for naming convention.</em></p>
<p><em><span>Must</span> see either the block or the rope (or both) mentioned in connection with the appropriate energies.</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>k can be determined using EPE = \(\frac{1}{2}\)<em>kx</em><sup>2</sup></p>
<p>correct statement or equation showing</p>
<p>GPE at A = EPE at C</p>
<p><strong><em>OR</em></strong></p>
<p>(GPE + KE) at B = EPE at C</p>
<p>Â </p>
<p><em>Candidate must clearly indicate the energy associated with either position A or B for MP2.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about kinematics and mechanics. <strong>Part 2</strong> is about electric potential difference and electric circuits.</p>
<p><strong>Part 1</strong> Kinematics and mechanics</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>linear momentum</em>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State, in terms of momentum, Newton’s second law of motion.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show, using your answer to (b), how the impulse of a force <em>F</em> is related to the change in momentum Δ<em>p</em> that it produces.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show, using your answer to (b), how the impulse of a force <em>F</em> is related to the change in momentum Δ<em>p</em> that it produces.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A railway truck on a level, straight track is initially at rest. The truck is given a quick, horizontal push by an engine so that it now rolls along the track.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">The engine is in contact with the truck for a time <em>T</em> = 0.54 s and the initial speed of the truck after the push is 4.3 ms<sup>–1</sup>. The mass of the truck is 2.2×10<sup>3</sup> kg.</p>
<p style="text-align: left;">Due to the push, a force of magnitude <em>F</em> is exerted by the engine on the truck. The sketch shows how <em>F</em> varies with contact time <em>t</em>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">(i) Determine the magnitude of the maximum force <em>F</em><sub>max</sub> exerted by the engine on the truck.</p>
<p style="text-align: left;">(ii) After contact with the engine (<em>t</em> = 0.54 s) the truck moves a distance 15 m along the track. After travelling this distance the speed of the truck is 2.8 ms<sup>–1</sup>. Assuming a uniform acceleration, calculate the time it takes the truck to travel 15 m.</p>
<p style="text-align: left;">(iii) Calculate the average rate at which the kinetic energy of the truck is dissipated as it moves along the track.</p>
<p style="text-align: left;">(iv) When the speed of the truck is 2.8ms<sup>–1</sup> it collides with a stationary truck of mass 3.0×10<sup>3</sup>kg. The two trucks move off together with a speed <em>V</em>. Show that the speed <em>V</em>=1.2ms<sup>–1</sup>.</p>
<p style="text-align: left;">(v) Outline the energy transformations that take place during the collision of the two trucks.</p>
<div class="marks">[12]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p>mass×velocity; <em>(allow mv with symbols defined)</em></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p>the rate of change of momentum of a body is equal to/directly proportional to the force acting on the body;</p>
<p><em>Accept \(F = \frac{{\Delta p}}{{\Delta t}}\) </em><em>only if all symbols are define</em>d.</p>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p>\(\left( {F = \frac{{\Delta p}}{{\Delta t}}} \right)\)<br>therefore impulse <em>F</em>Δ<em>t</em> =Δ<em>p</em>; <em>(accept t for Δt)</em></p>
</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p>\(\left( {F = \frac{{\Delta p}}{{\Delta t}}} \right)\)<br>therefore impulse <em>F</em>Δ<em>t</em> =Δ<em>p</em> ; <em>(accept t for Δt)</em></p>
</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p>(i) (impulse=) change in momentum=2.2×10<sup>3</sup>×4.3(=9.46×10<sup>3</sup>Ns);<br>impulse=area under graph=½<em>F</em><sub>max</sub>Δ<em>t</em>;<br>½<em>F</em><sub>max</sub>×0.54=9.46×10<sup>3</sup>;<br><em>F</em><sub>max</sub>=35k(N)<em><strong> or</strong></em> 3.5×10<sup>4</sup> (N);</p>
<p>(ii) (magnitude of) acceleration=\(\left( {\frac{{{u^2} - {v^2}}}{{2s}} = \frac{{{{4.3}^2} - {{2.8}^2}}}{{30}} = } \right)0.355{\rm{m}}{{\rm{s}}^{ - 2}}\);<br>time=\(\left( {\frac{{u - v}}{a} = \frac{{1.5}}{{0.355}} = } \right)4.2{\rm{s}}\);<br><em>Award<strong> [1 max]</strong> if an additional 0.54 s is added to answer.</em></p>
<p>(iii) \(\Delta KE = \left( {\frac{1}{2} \times 2.2 \times {{10}^3}\left[ {{{4.3}^2} - {{2.8}^2}} \right] = } \right)1.17 \times {10^4}{\rm{J}}\);<br>rate of change of \(\Delta KE = \frac{{1.17 \times {{10}^4}}}{{4.2}} = 2.8{\rm{kW}}\)<br><em>(mark is for division by 4.2 <span style="text-decoration: underline;">and</span> correct calculation)</em></p>
<p>(iv) <em>statement of momentum conservation:</em><br><em>e.g.</em> momentum of the truck before collision=momentum of both trucks after collision;<br><em>(allow clear symbolism instead of words)</em><br>2.2×10<sup>3</sup>×2.8=5.2×10<sup>3</sup><em>V <strong>or </strong></em>\(V = \frac{{2.2}}{{5.2}} \times 2.8\);<br>to give <em>V=</em>1.2ms<sup>-1</sup></p>
<p>(v) the first truck loses kinetic energy that is transferred to internal energy in the links between the trucks (and as sound);<br>and to kinetic energy of the stationary truck; <br><em>Award <strong>[0]</strong> for “lost as heat, light and sound”, or “in air resistance”.</em></p>
</div>
</div>
</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p>Linear momentum was defined accurately. Only a handful used speed rather than velocity in the definition.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p>Newton's second law of motion appeared to be well understood but some failed to quote it in the context of momentum and gave the simpler statement in terms of <em>F=ma</em>.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p>Many were able to show that impulse is equal to the change in momentum.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p>Many were able to show that impulse is equal to the change in momentum.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p>(i) This was another question where candidates let themselves down very badly with their quality of explanation and presentation. Although many obtained the correct answer it was often not clear that they had fully appreciated the assumptions they were making. Examiners (for full credit) were looking for explanations typically in terms of the area under the <em>F</em>-<em>t graph</em> – it was rare to see this – with a full consideration of the evaluation of the isosceles triangle. Many candidates will have scored only one mark for an evaluation of the momentum change (usually by inference rather than by direct candidate statement) and one mark for the answer.<br>(ii) This straightforward application of the kinematic equations was often well done, but some candidates failed to read the question carefully and could not identify the correct values for the speed of the truck.<br>(iii) A common error was to evaluate (4.8-2.3)<sup>2</sup> rather than the correct (4.2<sup>2</sup>-2.8<sup>2</sup>) in the route towards the change in kinetic energy. However, whether evaluating the correct change in kinetic energy or not, most were able to divide a value for the change by the time calculated in (ii) to determine an average rate of energy dissipation.<br>(iv) Candidates were required to indicate the basis for the calculation (conservation of momentum) and to identify the algebraic or numerical method they were using. Although many gained full marks, once again candidates did not make it easy for examiners to establish the basis for the method. Clear statements of momentum conservation were rare and examiners were frequently expected to infer the method from an undefined set of symbols sometimes unrelated to this particular problem.<br>(v) Most candidates gained one mark from this question by outlining the transfer in kinetic energy from first to second truck. Few recognized the role of the trucks‟ coupling mechanism preferring to emphasize the relatively minor and generalized roles of heat and sound dissipation in the collision. This is a frequent response in energy transfer questions such as this; candidates should consider specific examples in the question rather than making recourse to more general issues of energy transfer.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>The diagram below shows part of a downhill ski course which starts at point A, 50 m above level ground. Point B is 20 m above level ground.</p>
<p style="text-align: center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAg0AAAEiCAYAAAB6CuHqAAAgAElEQVR4Ae3dDXBV1b338V9iR4XJQyvYKQlgGcYJOiM1ICC3xELVJup9fOCGoq0VQhFfHstLceRFoFqfKwiBkVawVytQXiy9Fc2EalWiZpIx3MeG8GJhqslwHZSY0KcQKc2AdYbkmf8mJyQhh5xz9nnZe5/vnmFyss9ee631WZuc/1lr7bUz2tra2sSGAAIIIIAAAgj0IpDZy/u8jQACCCCAAAIIOAIEDVwICCCAAAIIIBCRAEFDREw9H9Rav0mFGRnKyFmiilOtPR/EXgQQQAABBAIiQNAQc0N+ocPVb+ngI0/r6RFV2lXbHPOZSIgAAggggIAfBAgaYm2lU/+ljcs+1rR//ZGK7h6kklV/UD2dDbFqkg4BBBBAwAcCBA0xNVKrTtW+o20qUOHoQbo6/zYVlL+l6sNfxHQ2EiGAAAIIIOAHAYKGmFqpWbW7yqVpt2p0v0xlXv1t3V2wT7+vPiI6G2ICJRECCCCAgA8ECBpiaKTW+j9oVYk0rfBb6mfpM4cq/+5RKl+2VZVMiIxBlCQIIIAAAn4QIGiIupXOTYAsz7ahif7tqS8/N0TRVM6EyKg9SYAAAggg4BeBDFaEjLKpWj/Spttv1n3lTT0mzF74rj5adfO5Hogej2AnAggggAAC/hSgpyGqdmvVqcqtWlaer411Z2QrcJ//d1Z/f/cxqeR5vVLPhMioWDkYAQQQQMAXAgQNUTVT+wTImT9Q4dWXd0uZqX6jb9W07GomRHaT4VcEEEAAgWAIEDRE046n/qxd26RpP/qOBvUk12+U7npklMp//186zG0U0chyLAIIIICADwR6+ujzQbFTUcQvVP/K8yoZ/iPdNTY0AbJ7Ob6mkf+rSAXlv9LGyuPd3+R3BBBAAAEEfC3AREhfNx+FRwABBBBAIHkC9DQkz5qcEEAAAQQQ8LUAQYOvm4/CI4AAAgggkDwBgobkWZMTAggggAACvhYgaPB181F4BBBAAAEEkidA0JA8a3JCAAEEEEDA1wIEDb5uPgqPAAIIIIBA8gQCHzQ0NzcnVDMjI0Nbt25VfX19QvPh5AgggAACCKRaIPBBw6JFixL+gf7ee+9p+PDhWrhwYcLzSvUFQ/4IIIAAAukrEOigoby8XBs2bNDq1asT2sIvvviijh496uRhwYP1PLAhgAACCCAQNIHArgh55swZTZgwQXv27HHarLq6WuPHj497+9nwhD3pMrTt3r1b8+fP1/XXX69nn31Wffr0Cb3FTwQQQAABBHwtENiehh07dnQEDNZC9kFugUSiNwtMSktL9cEHH2ju3LlJyTPRdeL8CCCAAAIImEAgexps8uOAAQMuaOEtW7Zo+vTpF+x3s6N7T0PoXA0NDSoqKtLEiRNVUlIS2s1PBBBAAAEEfCsQyJ6GlStX9tggxcXFSvTdFKGMBw8e7PQ4VFZWMschhMJPBBBAAAFfCwSup8GCgs5Bg02CXLBgQUcjjRs3zukB6Njh8kW4nobQaW2OQ35+vvbv36+8vLzQbn4igAACCCDgO4HABQ3dW6C3D/Xux0f7eyTnX7FihcrKylRVVcXEyGiBOR4BBBBAwDMCgRye8Ixue0FsEqZtNjmTDQEEEEAAAb8K0NPgsuUi6WmwLELDFLaeg813YEMAAQQQQMBvAgQNLlss0qDBsrn//vt1xRVXcDeFS3OSI4AAAgikRoCgwaV7NEGDPZ/CVoysq6tTbm6uy5xJjgACCCCAQHIFCBpcekcTNFhW9nwK21i7wSU8yRFAAAEEki5A0OCSPNqgIdTbcOLECfXv399l7iRHAAEEEEAgeQLcPZE8aycnG5aYNGmStm/fnuScyQ4BBBBAAAF3AgQN7vxiSm2LTdmTMJPxLIyYCkgiBBBAAAEEehAgaOgBJdG7Ro0a5WSxb9++RGfF+RFAAAEEEIibAEFD3CgjP5E9LtsenLV58+bIE3EkAggggAACKRZgIqTLBoh2ImQoO3sK5pAhQ8RiTyERfiKAAAIIeF2AnoYUtZCtCmkTIisqKlJUArJFAAEEEEAgOgGChui84nr0ww8/rPXr18f1nJwMAQQQQACBRAkwPOFSNtbhCcvWHuM9YMAAHpvtsg1IjgACCCCQHAF6GpLj3GMutrjT8uXL9cYbb/T4PjsRQAABBBDwkgA9DS5bw01Pg2Udevrl6dOnZXdVsCGAAAIIIOBVAXoaUtwy48eP15gxY8SaDSluCLJHAAEEEOhVgKChV6LEH8CaDYk3JgcEEEAAAfcCDE+4NHQ7PGHZ8xArl41AcgQQQACBpAjQ05AU5otnEnqIVWVl5cUP5F0EEEAAAQRSKEDQkEL8zlkXFRU5D7HqvI/XCCCAAAIIeEmA4QmXrRGP4QkrAstKu2wIkiOAAAIIJFyAnoaEE0eWgS0rPWvWLJaVjoyLoxBAAAEEUiBA0JAC9HBZTp06lWWlw+GwHwEEEEAg5QIMT7hsgngNT1gxWFbaZWOQHAEEEEAgoQL0NCSUN7qT27LSNkRRXV0dXUKORgABBBBAIAkCBA1JQI4mixkzZnAXRTRgHIsAAgggkDQBhidcUsdzeMKKcubMGfXt29fpbbAlptkQQAABBBDwigA9DV5pifZy2EOr7MmXVVVVHisZxUEAAQQQSHcBehpcXgHx7mmw4vDkS5eNQnIEEEAAgYQI0NOQEFZ3Jx01ahRPvnRHSGoEEEAAgQQIEDQkANXtKW2Iwp58yRCFW0nSI4AAAgjEU4DhCZeaiRiesCIdOHBAI0eO1IkTJ2S3YrIhgAACCCCQagF6GlLdAmHyz8vLc4YoamtrwxzBbgQQQAABBJIrQNCQXO+ocrMhih07dkSVhoMRQAABBBBIlADDEy5lEzU8YcViiMJl45AcAQQQQCCuAvQ0xJUzviezIYpJkyaJIYr4unI2BBBAAIHYBAgaYnNLWqqioiKGKJKmTUYIIIAAAhcTYHjiYjoRvJfI4QnLvqGhQUOGDNHRo0c1ePDgCErEIQgggAACCCRGgJ6GxLjG7awWKNgQRUVFRdzOyYkQQAABBBCIRYCgIRa1JKexIYrS0tIk50p2CCCAAAIIdBVgeKKrR9S/JXp4wgrEEEXUzUICBBBAAIEECNDTkADUeJ+SIYp4i3I+BBBAAIFYBAgaYlFLQZqHH36YIYoUuJMlAggggMB5AYYnzlvE9CoZwxNWsObmZg0YMEB1dXXKzc2NqawkQgABBBBAwI0APQ1u9JKY1h5aNWvWLJWXlycxV7JCAAEEEEDgvABBw3kLz7+aOnWqtm7d6vlyUkAEEEAAgWAKMDzhsl2TNTxhxQwNUezfv1+2xDQbAggggAACyRSgpyGZ2i7zCg1RVFdXuzwTyRFAAAEEEIhegKAherOUpmCIIqX8ZI4AAgiktQDDEy6bP5nDE1ZUhihcNhjJEUAAAQRiFqCnIWa61CS0IYrly5eLIYrU+JMrAgggkM4CBA0+bP0JEyZwF4UP240iI4AAAn4XYHjCZQsme3jCinvmzBn17dtX3EXhsvFIjgACCCAQlQA9DVFxeePgPn36OEMUb7zxhjcKRCkQQAABBNJCgJ4Gl82cip4GK/Lu3buVn5+v06dPy4IINgQQQAABBBItQE9DooUTdP5Ro0Y5Z963b1+CcuC0CCCAAAIIdBUgaOjq4ZvfQkMUVVVVvikzBUUAAQQQ8LcAwxMu2y9VwxNWbIYoXDYeyRFAAAEEohKgpyEqLm8dzBCFt9qD0iCAAAJBFyBo8HELM0Th48aj6AgggIAPBRiecNloqRyesKIzROGyAUmOAAIIIBCxAD0NEVN588Dx48drzJgx4i4Kb7YPpUIAAQSCJEDQEIDWnD59uriLIgANSRUQQAABjwswPOGygVI9PGHFP3DggEaOHMlCTy7bkuQIIIAAAhcXoKfh4j6+eDcvL48hCl+0FIVEAAEE/C1A0ODv9usovQ1RbN68ueN3XiCAAAIIIBBvAYYnXIp6YXjCqhAaojhx4oT69+/vslYkRwABBBBA4EIBehouNPHlntAQRW1trS/LT6ERQAABBLwvQNDg/TaKuIQ2RLFjx46Ij+dABBBAAAEEohFgeCIarR6O9crwhBWNIYoeGohdCCCAAAJxE6CnIW6UqT8RQxSpbwNKgAACCARZgKAhYK3LEEXAGpTqIIAAAh4SYHjCZWN4aXjCqsIQhcsGJTkCCCCAQFgBehrC0vjzDYYo/NlulBoBBBDwgwBBgx9aKcoyMkQRJRiHI4AAAghEJMDwRERM4Q/y2vCElZQhivDtxTsIIIAAArEL0NMQu51nUzJE4dmmoWAIIICArwUIGnzdfOELP3v2bBZ6Cs/DOwgggAACMQgwPBEDWuckXhyesPI1NDRoyJAh4lkUnVuL1wgggAACbgToaXCj5+G0gwcP1qRJk8SzKDzcSBQNAQQQ8JkAQYPPGiya4hYVFTFEEQ0YxyKAAAIIXFSA4YmL8vT+pleHJ6zkDFH03n4cgQACCCAQuQA9DZFb+e5Ihih812QUGAEEEPC0AEGDp5vHfeEYonBvyBkQQAABBM4JMDzh8krw8vCEVY0hCpcNTHIEEEAAgQ4Beho6KIL5IjREUVlZGcwKUisEEEAAgaQJEDQkjTp1GdkQxdatW1NXAHJGAAEEEAiEAMMTLpvR68MTVr3QEMXRo0dlPQ9sCCCAAAIIxCJAT0Msaj5LExqiqKio8FnJKS4CCCCAgJcECBq81BoJLIsNUZSWliYwB06NAAIIIBB0AYYnXLawH4YnrIoMUbhsaJIjgAACCIiehjS5CBiiSJOGppoIIIBAAgWiChpa6zepMCND9u26y7/CTapvbS9la5P2blmk73YcU6hFm17X3qYvE1gNTh2JAEMUkShxDAIIIIBAOIEogoZWtTQc1sGCjao726a2tk7/ds1UrnOmL/VZ2XLduVmaUduos21tOtv4uAZWPaY7f1GtU+FKwf6kCNx8883auXOnM1SRlAzJBAEEEEAgUAJRBA3Nqt1VLuUN1cBwqVo/1q4X3tKIaT/WtBuynbGPzOzxmrd0vkZse0e1p0LdEYEy9E1lGKLwTVNRUAQQQMCTAuE+/i8sbOtxHTlwUiOG5yjrwnfP7WlpVN3Brylv6JVdJktkDhyqPJVrV21zp5StOlWxRDkZ/6Y1paVaUzyifcijUIu21KjpVL3eXlOsHGeYY4SK1+5WEzFHJ7/YXjJEEZsbqRBAAAEE1OWz/eIeTkDQRwP/3+/145z2OQ05xVpTurfjw7z12BEdaAp3mkYdOHJcF37ul2nBuloNW7pbbW3/VOO731bNjBuVc81yHfrOSjW0ndU/PnxUWv2QlpV90kP6cPmxvycBhih6UmEfAggggEAkAhH3NJwLCHI0aOws/aaxfT5D/WMa9qcndM8zNWpR+5yHSHLtcswNWvizR1SU20/SpcoefZPGZmer4KnHNG+sDXFkKiv3Rk0YcUJv/um/1dIlLb9EK8AQRbRiHI8AAgggEBKIOGjIzJ2pXW27tOLmQee7J7JydWvht1S3YI1erv8idE5+elyAIQqPNxDFQwABBDwqEHHQ0HP5M5U1+GqN0Meqazjd/rrnI8PvHabhg8POkgifjHdiFmCIImY6EiKAAAJpLeAyaOhq50x4zO667/xvORdMkDz/Hq+SKcAQRTK1yQsBBBAIjkCEQcMXqt90lzJylqiiy22T7fMYsgtUOLq/lJWj4SNOXjDh8dx8CHoUvHTZMEThpdagLAgggIA/BCIMGi5X7l2PavXwcm155S/nJyO2/EWvbPm/un39g5rYL1PKHKbCB2/TwWWrtfmjc0s5tTbt1i+Xr9XBhQ/p+7mX+0MlDUrJEEUaNDJVRAABBOIsEGHQIClrrB7Z/oImNa9WbmiJ6Du3ScUv6JdF32yfHHmpBhXM1UtPXalt137VWXfhkpyHdGDEk3rtp/my+yPYvCEQGqKoqanxRoEoBQIIIICA5wV4yqXLJvLLUy57qubWrVt16NAhlZSU9PQ2+xBAAAEEEOgiQNDQhSP6X/wcNBw4cEAjR47U6dOn1adPn+grTwoEEEAAgbQSiHx4Iq1Y0qOyeXl5TkX37duXHhWmlggggAACrgQIGlzx+T/x8uXLtX//fv9XhBoggAACCCRcgKAh4cTezmDChAmyuQ1sCCCAAAII9CbAnIbehHp5389zGqxqzc3NGjBggNPbEBqu6KXKvI0AAgggkKYC9DSkacOHqt2/f3/NmjVL1dXVoV38DIJA60faVJjT/rj59qfShm6V/u4ibaqoP7/eShDqSx0QQCApAgQNSWH2diZTp05liMLbTRR76Qo2qu5s+1Np2+znP9W46ipV3TtF80p51HzssKREID0FCBrSs9271Hr06NHas2eP7BZMtqALXKrssXereNpl2vTCuzrcGvT6Uj8EEIinAEFDPDV9ei4borC7KBii8GkDxljs7LyhGshfgBj1SIZAegrwJyM92/2CWttdFHPmzNGZM2cueI8dQRL4Uk01v9dvj/9YZSztHqSGpS4IJEWAoCEpzN7PZNSoUU4hWejJ+20VVQnL79PwSzpPhLxMOTfO1qaPP1PDP76I6lQcjAACCBA0cA04AraM9Lp167R582ZEgiRwwUTIs/pH3ataqM2a8uBG7W1hUkOQmpu6IJBoAYKGRAv76PwFBQXasGGDs3aDj4pNUaMSyFRW7h26b1q+VPlbvVzTHFVqDkYAgfQWIGhI7/bvUvvc3FxNmjRJr7/+epf9/BI0gUs1cOjVyg5atagPAggkXICgIeHE/srg4Ycf1vr165kQ6a9mi7K0X+rYkcNqyi5Q4ej+UablcAQQSGcBgoZ0bv0e6n7TTTc5azYwIbIHnEDsalVL/RvauG2fJj4yWWP78ScgEM1KJRBIkgB/MZIE7ZdsmBDpl5aKsJwX3D1xif7Hg3/S8J/+XtsfGausCE/DYQgggIAJ8MAql9eB3x9Y1VP1GxoaNGTIENXV1cnmObAhgAACCCBgAgQNLq+DIAYNRrJw4UJHpqSkxKUQyRFAAAEEgiJA0OCyJYMaNNhzKEaOHKkTJ07IlplmQwABBBBAgDkNXAM9CuTl5Tm3X27fvr3H99mJAAIIIJB+AvQ0uGzzoPY0GMvu3buVn59Pb4PLayQVyZubm3X8+PGLZm3zVmziKxsCCCAQqQBBQ6RSYY4LctBgVZ48ebJuvfVWzZ49O4wAu1MlYBNWP/nkE/31r3/V+++/r88//9xZ0TPa8owZM0YTJ07U1772NV1zzTUaNmyYrrrqKoalooXkeATSQICgwWUjBz1ooLfB5QUSx+QWJNTU1DgBwurVqzvOvGDBAudDPicnx/nA79u3r+zf4MGDO46x4M+2srKyjn319fXO67/97W9O4NHY2KhPP/1UoXOHgolx48bpuuuu406aDjleIJC+AgQNLts+6EGD8dDb4PIicZHcJqRWV1dr69atzqJbtsy39fzYJNVrr702ot6A8vJyFRYWOqV49dVXVVRU1GuJQr0Y+/fv1zvvvKOdO3fKggi7Fuwx6vZUVIY2emXkAAQCJ0DQ4LJJ0yFooLfB5UUSZXLrAbAP+lCgsHz5co0ePdr5F+2dLGfOnHE+5Pfs2eOUwj74q6qqov7AtzkSH374oZN26dKlzrmsXAQQUTYuhyPgcwGCBpcNmA5BgxHdf//9uuKKK8S6DS4vmDDJ7cP9vffe069+9SvnW/2sWbM0Y8YM19/o7Tkic+bM6ZKrPQLdzRwVK6stM27BhwUQFohMnz7d6YXoPCTSJVN+QQCBQAgQNLhsxnQJGuzb7/Dhw1kl0uX10j25fQC/+eabWrlypfNWPD98Qyt7ds/Tfj969GiXOQ89HRPJvlAAsXnzZmcSZijYGT9+fCTJOQYBBHwmwDoNPmuwVBXXlpO2CXehlSJTVY6g5GsfttYLYBMWbRhi8eLFzjd36wGI17f1Z599NizXxd4Lm6iHN2xegwUIL774ohNQXn/99c5tujb3wYZYrJ5sCCAQHAF6Gly2Zbr0NBiTjWsPGDBAu3btUkFBgUu59EzeuWfB7nawQCxZ38qTda3adfL66687QZG1sgVEt99+e9TzKNLzCqHWCHhbgKDBZfsk6w+xy2LGLXlpaanTlR7LZLq4FcKnJ7IJpfPnz3dKn4oP0mRfq6kMkHx6iVBsBDwvwPCE55vIWwW0b4z2DXnt2rXeKpiHS2NzC2xYx1bXtOEHC7jstseg37Jo9bN6Wn3tNlGrvw1bhNaH8HCTUTQEEAgjQNAQBobdPQvYB8HPf/5zZ9a8rSHAdnEB65mx5ZpttUabfGgTHYMeLHQXsfpasGQPPxs7dqwzodaCKBvGYEMAAX8JEDT4q708UVp7mJXdo//AAw8w0S1Mi1jvgt2mandF2BwQmygYrwmOYbL0/G5bY2LJkiXOhEnrbbD5MRZUsSGAgH8ECBr801aeKmlobJ5higubJdS7YOtavPXWW0wa7UZkd+LYcta2OqUFVRZcWZDFhgAC3hcgaPB+G3myhNbl/NJLLznDFDbBj01Or4t1u0+ZMsX5QLSFsKJdwTGdHG2+gwVVFlzZEI7desqGAALeFiBo8Hb7eLp09o1xy5Ytzh0B6f5N0brbbUll+2lzFyJ5voOnGzdJhbOgyoIrG8KxdSvodUgSPNkgEKMAQUOMcCQ7J2AT+2xBnyeffDJt5zfYIka2WqbdGfC73/0u7ecuxPJ/w9b9sF4H26zXwUzZEEDAewIEDd5rE9+VaNWqVfrggw/S8jZM+3ZsT5C08Xmb5Jdud0bE82K1XgebMGqWZrpixYq0DUTj6cq5EIinAIs7udRM9oI5LoubsOTWLW/ftiN99HLCCpKkE9vCRXPnznWCpV//+teyO0q8vvnpWrXr6d5773XWBLHALN3vPPH6tUX50keAnob0aeuE1tTmN1RXVzuTAIM+MdLmb4QCBrtTwg8BQ0IbPwEnt+vJFoWynzZcEfRrKgGEnBKBhAgQNCSENT1Pas9QsMcu28p/QV34yeoVmuRoH2p8A07ctW5DPTZJ0ibb2jVlPQ5sCCCQWgGChtT6By53W/nPAgdb+Clod1RYr8LIkSOdVR3tKZHMX0jO5WuTba0Xy27JtFtaeXJmctzJBYGeBJjT0JNKFPv8NE4cRbVcH2rfCu2PvH3Q+v3buH1IPfHEE1q9erWvn/Dp92vVglDr5bG7dWzyLWtguP5vygkQiFqAnoaoyUgQiYD1ONg3RPsj7+fxaBuO6Lz+Ao8Ej6T1E3OMBZ82JGTbbbfdFrierMSocVYE4itA0BBfT87WSSAUONh4tN8CB+tdsJ4SG45g/YVOjZrilzYkZENDEydOdALSoM6dSTEz2SMQVoDhibA0kb3h9y7fyGrp7igborCllW2ugwUSXt/sdj8bO29sbJRfbqeMxDRo16oNgc2ZM8eZ72CTcNkQQCDxAvQ0JN447XOwIYrQRDZbJtirj0S2ctmCQrbehD3C2brCuZ3Su5dvaNKtH3uyvKtKyRC4uABBw8V9eDdOAvZN0HocbLPxaC8tE2xDEVY2K1dNTY3z6GZWd4xTwyf4NAQOCQbm9Ah0E2B4ohtItL8Grcs32vpHe7x9QO/YsUPFxcVasGCBFi9enLJZ8FaWN99803k8s9XDyhJagyHaevnh+CBfqzZnxnocrEeLoQo/XI2U0a8C9DT4teV8Wm6byGZ3VdTV1enzzz/XgAEDnEV7kjlkEepZsLsiVq5c6QQLNhQR5IDBp5dLxMW2QMECBoYqIibjQARiEqCnISa284mC/O3tfC0T98q+Idr6Bzt37nQmSt5zzz0J63mwmfb2wWKT58aMGeMEC7fffnvaLNKUDtcqPQ6J+7/KmREwAXoauA5SKmDfEMvKypwPc3tSpvU82GRJm/MQj94HCxRslr3dNmm3T1oeFjjY3AXrWWBVx5Q2f9wzt+vJHppGj0PcaTkhAo4APQ0uL4R0+Pbmkiiq5LbqnwURtkbCnj17NGnSJN16663Og4uGDh2qvn379rjCpAUYx48f15EjR3Ts2DEdOnTI6cGwzGfNmqWpU6dq9OjRCevFiKqSKTo4na5VbsdM0UVGtoEXIGhw2cTp9IfYJVXUyS2A+Mtf/qLa2lqnZ8CGMHrbbNjBFv4ZN26chg0b5tw+SW/CObV0u1aDtJR5b9c97yOQLAGCBpfS6faH2CWX6+ShHoXuJwrXA9H9uPj/3qqW+kq9vHGV7ispP3f67OlavWWpHvperrJCGbY2ae+2X+jRGSWqdPYVaOHGObrr9gLdkH1p6KiE/kzHa9XW3bCeqyA8AyWhFwcnRyBCAeY0RAjFYd4QsIcU5ebmXvAvVQ/Fav2sTPMmzlPVwMfVeLZNbW3/VGPZWB0snqJ5pZ+o1WH7Up+VLdedm6UZtY0629ams42Pa2DVY7rzF9U65Q3aQJZi/vz5zgOubD0Hu2uGDQEE3AkQNLjzI3VaC3yhw7v+U5t0p4rv+xdlO/+bLlX22Pu09KlrtWn2C6o81Sq1fqxdL7ylEdN+rGk3ZDuzjzOzx2ve0vkase0d1doxbAkRCD2rwk4+d+7chOTBSRFIJwGChnRqbeoaZ4HLlTvzZbU1rtDN/Xr4r9R0WEeOfSm1NKru4NeUN/TKLrcrZQ4cqjyVa1dtc6dytepUxRLlZPyb1pSWak3xCNmwQkZGoRZtqVHTqXq9vaZYOc6+ESpeu1tNxByd/C58aYGDzW+wO2fsJxsCCMQu0MNfuthPRkoEEOgkUHCb8q++XK3HjuhAU6f9XV426sCR4+3DGJ3fKNOCdbUatnT3uSGPd7+tmhk3Kuea5Tr0nZVqaDurf3z4qLT6IS0rCw2DdE7P684CNnxlDx+zNTr89sTVzvXgNQKpFiBoSHULkH/gBFo/e0Orln2omQ/eoqszW9XScFgHo67lDVr4s0dUlNtP0qXKHn2TxmZnq+CpxzRvrA1xZCor9ytuYOoAAA/uSURBVEZNGHFCb/7pv9US9fnTL4E9fGzLli3OGg52Zw4bAghEL/CV6JOQAgEEwgq0HNLmJSv08YxntH3yN5XZQx9C2LS8kXABW8Lc1vCwhb1s6XBux004ORkETICehoA1KNVJoUDLIW36yQ+1THP0H0tuaZ8YmamswVdrRNTFGqbhgztu2Iw6NQnCCzz55JPOHRU2MZI7KsI78Q4CPQkQNPSkwj4EohRobdqttU7A8Kgqnpuma7LO/9dyJjxmhzthzgUTJMMdyf74CFjvwhNPPOFMjFy7dm18TspZEEgTgfN/2dKkwlQTgfgKfKmmiid1S85U/WHgk6rsFjA4eWXlaPiIkxdMeDw3QZIehfi2R2Rns4mRtuCTLfzEHRWRmXEUAiZA0MB1gEDMAq1q2fuc7rnl56qbuV4vPV2k3E49DB2nzRymwgdv08Flq7X5o3NLOVnPxC+Xr9XBhQ/p+7mXdxzKi+QJWOBgPQ12R4UFEGwIINC7AEFD70YcgUDPAq31ennJamdZ6KZNUzT4EltPofO/0VpUcdy5+2FQwVy99NSV2nbtV51jLsl5SAdGPKnXfpovuz+CLTUC9lRMe+rplClTuBUzNU1Arj4T4NkTLhssHdfzd0lG8hQJcK2Gh7dHsRcWFjoBhAUSbAgg0LMAPQ09u7AXAQTSSKCgoEDr1q1z1nBg8ac0aniqGrUA6zRETUYCBBAIooA91Mq2/Px8ehyC2MDUKS4CBA1xYeQkCCAQBAEChyC0InVIpABBQyJ1OTcCCPhOgMDBd01GgZMoQNCQRGyyQgABfwgQOPijnShl8gUIGpJvTo4IIOADAQIHHzQSRUy6AHdPJJ2cDBFAwC8CFjjYOg42OZKVI/3SapQzkQL0NCRSl3MjgIDvBUILQFngYFuoB8L3FaMCCMQgQE9DDGgkQQCB9BKwwGH//v3aunWrFi5cyNMx06v5qW0nAVaE7IQRy0tW2YtFjTSpEOBada/e0NCgoqIi59Haq1atUv/+/d2flDMg4CMBehp81FgUFQEEUitgD7l66623nELcdtttsiCCDYF0EiBoSKfWpq4IIOBawHoXnn32WU2ePFlDhgzhQVeuRTmBnwQIGvzUWpQVAQQ8IdCnTx8tWbJEW7Zs4c4KT7QIhUiWAHMaXEozTuwSkORJE+BaTQz1gQMH9MADDzDPITG8nNVjAvQ0eKxBKA4CCPhLIC8vT6WlpU6hbZ6DBRFsCARVgKAhqC1LvRBAIGkCNkHS5jlMnz5dI0eOdG7NPHPmTNLyJyMEkiXA8IRLabp8XQKSPGkCXKvJoe48XPHEE0/IAgo2BIIiQE9DUFqSeiCAgCcEbLjCbsu84oornLsrQkMXnigchUDApQA9DW4BMzLU1tbm8iwkRyDxAvQ0JN64ew7l5eVatmyZM0mSXofuOvzuRwF6GvzYapQZAQR8IVBQUNCl18GWoWaugy+ajkKGEaCnIQxMpLv59hapFMelWoBrNbUtEOp1sFKsXbtW9jwLNgT8JkBPg99ajPIigIAvBazXoaqqyrnDwp6YaQ++qq+v92VdKHT6ChA0pG/bU3MEEEiygK0kaY/Wrqurc3IePny41q9fr+bm5iSXhOwQiE2AoCE2N1IhgAACMQvk5uaqpKTEedz2O++8owEDBhA8xKxJwmQKEDQkU5u8EEAAgU4CdntmWVmZqqurRfDQCYaXnhUgaPBs01AwBBBIFwGbFNk9eFixYgVzHtLlAvBRPQkafNRYFBUBBIItEAoe9u/fr5MnT8rmPNgjuO3OC27VDHbb+6V2gbvl0v5jHT16tMPf/tOFJh3Zzr59+8Z1WVduY+ug5oXHBLrPzO/+f8HG1dm8LWATJLdv3+48y2LPnj1avny57rjjDtmwBhsCqRAIZE+D3cpkfyDtn22h1/bz+PHjqXAmTwSSLmDfTjtf+1aA0O/2Hpv3Bfr37+/cbVFTU+PMe7AS2wOxxo4dKxu+2L17Nz0Q3m/GQJUwcD0N1jr2H8nug+6+LViwwJmx3H2/m9/paXCjR9pECliv24QJE2TfUDtvY8aMcVYptA8kNv8JWLvu27fPWfNh6dKlTgVmzZqlm266Sd/61recwNBu7WRDIBECgQwaDMp6G1avXt3FzIYt4v3EOYKGLsT84jEBe1jSlClTupTq1VdfVVFRUZd9/OJfAXuq5p///GcdOnSo42/epEmTZMNP48aN0ze+8Q19/etfdx6eRTDh33b2SskDGzQ0NDQ4/0lC0OvWrXO6+UK/x+snQUO8JDlPogRsIt3OnTud09uHic3SZwuugM1lOXLkiI4dO+YEEpWVlV16m6xXwp7Aed111ykrK8v5N3ToUAfkyiuvFD1Qwb024lGzwAYNhmMrrc2ZM0fWHWvLtyYiyiZoiMdlyDkSKWDfRG0c3Dablc8kukRqe/fcoYmx1iNh2/vvv+/8tP2hoLJz6UO9FaF91mvReRs2bJgzsbzzPibXdtYI5utABw2hMd3FixcnrDuWoCGY/zGCVisbrrPNViFkQyCcgPXQnj592nnbeitaWlqc1/YzFGzYjs8//1wbNmwId5ou++1L28SJE7vs6/xLqMej875wr0NDLeHe99v+zsbRlr2xsVGffvppRMl6a6+2traIzmMHBTposArat6xEfrOyoIENAQQQQAABvwpYoBhpT3zggwa/NiLlRgABBBBAwGsCgVynwWvIlAcBBBBAAIEgCBA0BKEVqQMCCCCAAAJJECBoSAIyWSCAAAIIIBAEAYKGILQidUAAAQQQQCAJAgQNSUAmCwQQQMDzAi31qnhljYpzMmR3hdm/nOI1eqWiXuduvPR8DShgbwKnKrSoU/uG2jmatiZo6A2Z9xFAAIFAC7Sqpb5Ui+68Q/++5xuau/efsvv229r+rsp7L9Fr907UnWtqCBwCdA1kL3xXf3fa2Nq5c1tP0U82HbpoWxM0BOhCoCoIIIBA1AIttXr+wdnaNqxELz09TTdkX9p+in7K/d48PffaAmnBw/r3Cp4QHLWtbxJYW/9EK9ZP0Nv3Ldbze0+GLTlBQ1ga3kAAAQSCLtCqUzVleqYyX08tukODLvhEyFTWyB9oTdnPVDg4FEwE3SRd63epBk2eracK9umZl/fpVBiGr4TZz24EEEAAgcALNKt2V7masgs0dGCYoCAzWzdMmhR4CSooKfNKDc3LUdOBIzrWKvW7IIiUetgFHQIIIIBAWgi0HteRA43SiKs1OIuPg7Ro80gqefCwGlpaezySq6RHFnYigAACCCCAQHcBgobuIvyOAAIIpItAe3e0LvLNMl0oqGcngYv0PBE0dHLiJQIIIJBeAv01urBA2U2HdeTYl2Gr3tq0VztZryGsT2DeOPVn7dq2V9l5QzUwTHQQZndgCKgIAggggEBYgUz1GztZj0ys1rJVb+izC4axW9Xy0Rb9+IYZ+sPJy9Q37Hl4w/8CX+qzd0q1rWmqnrrv2+oXpkIEDWFg2I0AAgikhUDWaD30H0/re2/O1r2PbdPeplCPwynVv/1L/eTmx/TpjGf01ORvMnM+sBeEtfVzWjK7St/b+Ljuyr08bE0JGsLS8AYCCCCQDgKZyrqmWL/Z+5p+OvyQHs25rH0Z6a9q4ktndedLlXptxfeUzadFYC6GppJb9NX2pcLPLSV9jR58J0tFr5XrNzOvU9ZFaprRZmtIsiGAAAIIIIAAAr0IEDv2AsTbCCCAAAIIIHBOgKCBKwEBBBBAAAEEIhIgaIiIiYMQQACB9BQ4c+aMSktLnX/pKRCMWq9YsUK7d+92XRmCBteEnAABBBAIpoB9yPzwhz/UlClTglnBNKrVyZMnlZ+fr/vvv1/19fUx15ygIWY6EiKAAALBFLAPlYULFzofMjt37gxmJdO0Vhs2bNDw4cNlPQ/Nzc1RK3D3RNRkJEAAAQSCKWBDERs3btScOXOCWUFq1UVgzJgxWrx4sYqKirrsv9gv9DRcTIf3EEAAgTQT6Nev57UAX331Vdkd+vzzp8GCBQt6vJKzsi62KsOFSQgaLjRhDwIIIJCWAn369NH06dN14sQJhfuQSUuYAFZ63bp1qqqqUkFBQVS1I2iIiouDEUAAgeAL9O/fXyUlJaqrq9OkSZOCX+E0qqEFg0ePHtXs2bNlQWK021eiTcDxCCCAAALpIZCbm6uysjKVl5enR4UDXMurrrpK+/fvV15enqtaMhHSFR+JEUAAAQQQSB8BhifSp62pKQIIIIAAAq4ECBpc8ZEYAQQQQACB9BEgaEiftqamCCCAAAIIuBIgaHDFR2IEEEAAAQTSR4CgIX3ampoigAACwRVoqVfFpkX6bkaGMpx/I1S8ZpfqW1rD1rn1s1LdlzNaiyqOhz2GN7oKEDR09eA3BBBAAAG/CbR+otJ5U3Rv1VVa1fhPZ9XKs43PK+/go5o4r0yf9RQ3tH6issef0KYmv1U2teUlaEitP7kjgAACCLgUaD38rl7YdJmmFd+tsdmXOmfLzB6veUvna8SmFXq2sntPwil9tPn/aOHHV+rbLvNOt+QEDenW4tQXAQQQCJhAZu5M7Wqr1aqbr+yhZo06cOS4znc2tKpl70b972V9tHLJ9xX2yQunKrQoJ0eFa17RrjXFynGGPHL03UXbtLfpuOrfXqvinHNDITnFz6mm6cse8g7eLoKG4LUpNUIAAQQQ6BDI1935Q9XxYddSq+cf/a2GrV+gyd/sbRnlJpUveFEVwx5TfVubzjZu0b/ULNLonO9q+aGxWtnQprZ/HNRTel6Tl73e8zBIRzmC8aLDMRjVoRYIIIAAAghIsjkLq9bq4MwfqPDqy9tJTmrv80/rj//6K/2y6JvnA4mLgGUvXKSlRdc4PRKZ2SN169gcqWC+ls4br2z7BM26WvkTrlXTm7Wqu8iky4tk4au3ePaEr5qLwiKAAAII9C5wbs7C7I+/r5e2/08Ncr4ef6nPSpfpzj9+R6+9NtoJAs4PWfR+Ro44J0DQwJWAAAIIIBAggVP6aNN83bxMeqpivm5unxjZ+tnrenz2ET3y2lO6ISvSTvZsjRieE37eQ4DUIq1KpHKRno/jEEAAAQQQSI1Aa5Nq1s5pDxjWauY1/drL8YUO7/pPbWr6oxaMvqJ9HYcMXTL8PpVrr0pu+boyCjepnq6HXtuNoKFXIg5AAAEEEPC6QGvT21pyyw268Q+DtL6yc8BgJb9cuTNfdtZvaGtr6/h5tm6jCnSDFr77N7XtmqlcPhF7bWaGJ3ol4gAEEEAAAU8LtNTomXuK9XRdkV7d83MVDTq3VoOny+zTwhFX+bThKDYCCCCAgAl8ofqX12hBZZPU9JymDL6sY/jh3HLSGcpZVKFTYMVFIKPN+mrYEEAAAQQQQACBXgToaegFiLcRQAABBBBA4JwAQQNXAgIIIIAAAghEJEDQEBETByGAAAIIIIAAQQPXAAIIIIAAAghEJPD/AUPIsqNybQ/0AAAAAElFTkSuQmCC"></p>
</div>
<div class="specification">
<p>A skier of mass 65 kg starts from rest at point A and during the ski course some of the gravitational potential energy transferred to kinetic energy.</p>
</div>
<div class="specification">
<p>At the side of the course flexible safety nets are used. Another skier of mass 76 kg falls normally into the safety net with speed 9.6 m s<sup>–1</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>From A to B, 24 % of the gravitational potential energy transferred to kinetic energy. Show that the velocity at B is 12 m s<sup>–1</sup>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Some of the gravitational potential energy transferred into internal energy of the skis, slightly increasing their temperature. Distinguish between internal energy and temperature.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The dot on the following diagram represents the skier as she passes point B.<br>Draw and label the vertical forces acting on the skier.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The hill at point B has a circular shape with a radius of 20 m. Determine whether the skier will lose contact with the ground at point B.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The skier reaches point C with a speed of 8.2 m s<sup>–1</sup>. She stops after a distance of 24 m at point D.</p>
<p>Determine the coefficient of dynamic friction between the base of the skis and the snow. Assume that the frictional force is constant and that air resistance can be neglected.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the impulse required from the net to stop the skier and state an appropriate unit for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, with reference to change in momentum, why a flexible safety net is less likely to harm the skier than a rigid barrier.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{1}{2}{v^2} = 0.24\,{\text{gh}}\)</p>
<p>\(v = 11.9\) «m s<sup>–1</sup>»</p>
<p> </p>
<p><em>Award GPE lost = 65 × 9.81 × 30 = «19130 J»</em></p>
<p><em>Must see the 11.9 value for MP2, not simply 12.</em></p>
<p><em>Allow g = 9.8 ms<sup>–2</sup>.</em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>internal energy is the total KE «and PE» of the molecules/particles/atoms in an object</p>
<p>temperature is a measure of the average KE of the molecules/particles/atoms</p>
<p> </p>
<p><em>Award <strong>[1 max]</strong> if there is no mention of molecules/particles/atoms.</em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>arrow vertically downwards from dot labelled weight/W/mg/gravitational force/F<sub>g</sub>/F<sub>gravitational</sub> <strong><em>AND</em></strong> arrow vertically upwards from dot labelled reaction force/R/normal contact force/N/F<sub>N</sub></p>
<p>W > R</p>
<p> </p>
<p><em>Do not allow gravity.</em><br><em>Do not award MP1 if additional ‘centripetal’ force arrow is added.</em><br><em>Arrows must connect to dot.</em><br><em>Ignore any horizontal arrow labelled friction.</em><br><em>Judge by eye for MP2. Arrows do not have to be correctly labelled or connect to dot for MP2.</em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong>ALTERNATIVE 1</strong></em><br>recognition that centripetal force is required / \(\frac{{m{v^2}}}{r}\) seen</p>
<p>= 468 «N»</p>
<p>W/640 N (weight) is larger than the centripetal force required, so the skier does not lose contact with the ground</p>
<p> </p>
<p><em><strong>ALTERNATIVE 2</strong></em></p>
<p>recognition that centripetal acceleration is required / \(\frac{{{v^2}}}{r}\) seen</p>
<p>a = 7.2 «ms<sup>–2</sup>»</p>
<p><em>g</em> is larger than the centripetal acceleration required, so the skier does not lose contact with the ground</p>
<p> </p>
<p><em><strong>ALTERNATIVE 3</strong></em></p>
<p>recognition that to lose contact with the ground centripetal force ≥ weight</p>
<p>calculation that v ≥ 14 «ms<sup>–1</sup>»</p>
<p>comment that 12 «ms<sup>–1</sup>» is less than 14 «ms<sup>–1</sup>» so the skier does not lose contact with the ground</p>
<p> </p>
<p><em><strong>ALTERNATIVE 4</strong></em></p>
<p>recognition that centripetal force is required / \(\frac{{m{v^2}}}{r}\) seen</p>
<p>calculation that reaction force = 172 «N»</p>
<p>reaction force > 0 so the skier does not lose contact with the ground</p>
<p> </p>
<p> </p>
<p><em>Do not award a mark for the bald statement that the skier does not lose contact with the ground.</em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong>ALTERNATIVE 1</strong></em><br>0 = 8.2<sup>2 </sup>+ 2 × <em>a</em> × 24 therefore <em>a</em> = «−»1.40 «m s<sup>−2</sup>»</p>
<p>friction force = <em>ma </em>= 65 × 1.4 = 91 «N»</p>
<p>coefficient of friction = \(\frac{{91}}{{65 \times 9.81}}\) = 0.14</p>
<p> </p>
<p><em><strong>ALTERNATIVE 2</strong></em><br><em>KE</em> = \(\frac{1}{2}\)<em>mv</em><sup>2</sup> = 0.5 x 65 x 8.2<sup>2</sup> = 2185 «J»</p>
<p>friction force = KE/distance = 2185/24 = 91 «N»</p>
<p>coefficient of friction = \(\frac{{91}}{{65 \times 9.81}}\) = 0.14</p>
<p> </p>
<p><em>Allow ECF from MP1.</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«76 × 9.6»= 730<br>Ns <em><strong>OR</strong></em> kg ms<sup>–1</sup></p>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>safety net extends stopping time</p>
<p><em>F</em> = \(\frac{{\Delta p}}{{\Delta t}}\) therefore <em>F</em> is smaller «with safety net»</p>
<p><em><strong>OR</strong></em></p>
<p>force is proportional to rate of change of momentum therefore <em>F</em> is smaller «with safety net»</p>
<p> </p>
<p><em>Accept reverse argument.</em></p>
<div class="question_part_label">d.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about momentum change. <strong>Part 2</strong> is about an oscillating water column (OWC) energy converter.</p>
<p><strong>Part 1</strong> Momentum change</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the law of conservation of linear momentum.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Gravel falls vertically onto a moving horizontal conveyor belt.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) The gravel falls at a constant rate of 13 kg s<sup>–1</sup> through a height of 1.9 m. Show that the vertical speed of the gravel as it lands on the conveyor belt is about 6 m s<sup>–1</sup>.</p>
<p>(ii) The gravel lands on the conveyor belt without rebounding. Calculate the rate of change of the vertical momentum of the gravel.</p>
<p>(iii) Gravel first reaches the belt at <em>t </em>= 0.0 s and continues to fall. Determine the total vertical force that the gravel exerts on the conveyor belt at <em>t </em>= 5.0 s.</p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The conveyor belt moves with a constant horizontal speed of 1.5 m s<sup>–1</sup>. As the gravel lands on the belt, it has no horizontal speed.</p>
<p>(i) Calculate the rate of change of the kinetic energy of the gravel due to its change in horizontal speed.</p>
<p>(ii) Determine the power required to move the conveyor belt at constant speed.</p>
<p>(iii) Outline why the answers to (c)(i) and (ii) are different.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>if no external forces act / isolated system;<br>momentum is constant / (total) momentum before=(total) momentum after;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) use of \(v = \sqrt {2gh} \);<br>6.11ms<sup>–1</sup>; <em>(must show calculation to better than 1 sf)</em></p>
<p>(ii) rate of change of vertical momentum=13×6.11;<br>79N; <em>(accept answers in the range of 78N to 80N)</em></p>
<p>(iii) mass accrued=5.0×13=65kg;<br>weight of this mass (=65×9.8)=637N; <em>(650 from g=10ms<sup>–2</sup>)</em><br>total force (637+79=)716N; } <em>(allow ECF from (b)(ii) and from incorrect weight)</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) 14.6Js<sup>–1</sup>;</p>
<p>(ii) horizontal momentum gain per second =13×1.5( =19.5kgms<sup>–1</sup>);<br>power required=29.3W;</p>
<p>(iii) additional energy/power required to accelerate gravel (through friction at the surface of the belt) / the gravel has to slip to gain horizontal speed / <em>OWTTE</em>;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about motion in a magnetic field.</p>
<p>An electron, that has been accelerated from rest by a potential difference of 250 V, enters a region of magnetic field of strength 0.12 T that is directed into the plane of the page.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;"> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The electron’s path while in the region of magnetic field is a quarter circle. Show that the</p>
<p>(i) speed of the electron after acceleration is 9.4×10<sup>6</sup>ms<sup>−1</sup>.</p>
<p>(ii) radius of the path is 4.5×10<sup>−4</sup>m.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram below shows the momentum of the electron as it enters and leaves the region of magnetic field. The magnitude of the initial momentum and of the final momentum is 8.6×10<sup>−24</sup>Ns.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">(i) On the diagram above, draw an arrow to indicate the vector representing the change in the momentum of the electron.</p>
<p style="text-align: left;">(ii) Show that the magnitude of the change in the momentum of the electron is 1.2×10<sup>−23</sup>Ns.</p>
<p style="text-align: left;">(iii) The time the electron spends in the region of magnetic field is 7.5 ×10<sup>−11</sup>s. Estimate the magnitude of the average force on the electron.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) \(v = \sqrt {\frac{{2eV}}{m}} \);<br>\(v = \sqrt {\frac{{2 \times 1.6 \times {{10}^{ - 19}} \times 250}}{{9.1 \times {{10}^{ - 31}}}}} \);<br>=9.4×10<sup>6</sup>ms<sup>−1</sup></p>
<p>(ii) <em>evB</em>=<em>m</em>\(\frac{{{v^2}}}{r}\);<br>\(r = \frac{{9.1 \times {{10}^{ - 31}} \times 9.4 \times {{10}^6}}}{{1.6 \times {{10}^{ - 19}} \times 0.12}}\);<br>=4.5×10<sup>−4</sup>m</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) vector as shown;</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) \(\Delta p = \sqrt {{{\left[ {8.6 \times {{10}^{ - 24}}} \right]}^2} + {{\left[ {8.6 \times {{10}^{ - 24}}} \right]}^2}} \);<br>=1.2×10<sup>−23</sup>Ns</p>
<p>(iii) \(F\left( { = \frac{{\Delta p}}{{\Delta t}} = \frac{{1.2 \times {{10}^{ - 23}}}}{{7.5 \times {{10}^{ - 11}}}}} \right) = 1.6 \times {10^{ - 13}}{\rm{N}}\);</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about circular motion.</p>
<p>A ball of mass 0.25 kg is attached to a string and is made to rotate with constant speed<em> v </em>along a horizontal circle of radius <em>r</em> = 0.33m. The string is attached to the ceiling and makes an angle of 30 ° with the vertical.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) On the diagram above, draw and label arrows to represent the forces on the ball in the position shown.</p>
<p>(ii) State and explain whether the ball is in equilibrium.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the speed of rotation of the ball.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) <em><strong>[1]</strong></em> each for correct arrow <span style="text-decoration: underline;">and</span> (any reasonable) labelling;</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATsAAADFCAYAAAArM1UaAAAbn0lEQVR4Ae2de2xc1Z3HD2m0RYjY6kr85UdB5Z9kEyhUJSkJry4JxSlt1QTFeZRHUBPzLCyhEZQNhWVRE0DK0qWYdGGXLYmNQlBVGkei3UcXG5JKFW3sDRJCPOzk323s/NHd/uPV59q/yfH1nZk7d+bO3DvzPZJzH+d3zvmdzzn3O+dxZ3LO9PT0tMthGBsddd+66RvuoZ073fY7+3JYA7ksAiJQTwIL6lmYyhIBERCBRhE4pxYju8nJSXfk8JDr3bSxUfVQuSIgAiJQksDCkrExI/f197u2tvaY1jITAREQgfoTqHoaOzI84l58ob/+nqtEERABEaiAQFVih9DdumVLUNzTu3e7iy+8KJjOcoMNBOK4x9+9d99dcIspL9f8cc5GAzaWlxkioty/7uprAkH1RZVz0vn3SMf1ly79YqHccDx+kh/+PfrII4Ed9vihIAIi0MQEWLOrJowePz79hc9fON3/kxcK2Yx/+un0LZs3T58+fTq4h83ll1w6fc9ddwXXnJPm2quuLqQb2H8guMeRMPz2cBBveZCnlWG24XJ/8PDD09/8+k3T2BKwx4b7/jX38MXsSIMvjQgTExPTk5OTjShaZYpASxGoamRX7DNgz+7djlGfjbAYgbGJ8c7wSJDkd3/4vWtvb3dLly0tvDayctXKIA47AiMvwuCBgeDY1d1dsGUj5JVXXw3u2z8T4+OBbe/GjQ5bAq+k3Li2J7hPflzzqkoQ19dXsMOPqdlyg8iU/5mamnKHXn/dbdrQ665ddZXjWkEERCBdAqmI3djoWCAqH37ysfP/ELlioa19ZoNjampG7HrW9gQCxLST6a2JnqVvb2+z0+CIuBIQUT8sXbosuLR4P87OSYPImtDa/Vof3z9xwn3/wR3umpWr3M4dD7nfHjvmFi9e7Do7O2tdlPITAREIEajJbmwoz+DyyNBQYSQWFV/uHqOzn7/5Czc4MBCswyFWY2Oj7smnnopMakJlRzPqnh3lhUXQ4tM+2ijujYOvu/fff39ecd++ef28e7ohAiJQewKpjOy6u7sKGxS++IQ3C8pVB8Fj2snokKkrozumq1HBpsEjI8Nzosdn7S1+TmSKF796661gFHf5JZe6v3/i7yKFjuJXrFiRohfKWgREwAhULXa2Psb009bNtvXdGeTvr9uxq2pTVCvcXyezcxNHhNHW7bDv6uoOpqhW3sT4hGUTHJcuWxYIIruqJqqBPwMDgWBaOks0OXl2nczKNB/MptLjyZMn3XN79wbT1Du3bXdvHDpUMouOjg63eMmSkjaKFAERqA2BmnyDwl4hYfRl08xAdPrPCpbFISxsXFhgekka/9UUNhVsre2dkeFgswMx2943s+GAmLGWZ8HfePDjyHtbX19hOk0aE0LSMmpkuu2LKlNnyqo0sNnAGlwl4batt7tHd+2qJIlsRUAEEhKoidglLLupkrG7yqZDJeHNocMa2VUCTLYiUAUBiV0V8MJJ2W1lhHfmzJlw1LzrRYsWufdGj8+7rxsiIALpEKh6zS4dt/KZK+tvB14bdAhZubB6zZpyJooXARGoIQGJXQ1hkpUJ3vnnn18y59U3SOxKAlKkCNSYgMSuxkDJrqOz011wwQVu4cLirzFqZJcCeGUpAiUISOxKwEkSxUvEmzf0unPPPdf97MCByCnt9atXJ8laaURABKogILGrAl44qQkd9/e/Nui+fMWXI9fwNIUNk9O1CKRPQGJXQ8Z875WA0LW1zXx319bw+A6sBU1hjYSOIlA/Anr1pEasETpePfGFzs/aRn2L2tqC0Z4fp3MREIH0CUjsasC4nNBZEQgegrhc34c1JDqKQN0ISOyqRB1X6KosRslFQASqJKA1uyoASuiqgKekIlBnAhK7hMAldAnBKZkINIiAxC4BeAldAmhKIgINJiCxq7ABJHQVApO5CGSEgMSugoaQ0FUAS6YikDECEruYDSKhiwlKZiKQUQISuxgNI6GLAUkmIpBxAsV/liPjjtfLPYTu2NGj7s0jQ4WvgNWrbJUjAiJQOwISuxIsETr+lzB+kNO+61rCXFEiIAIZJqBpbJHG8YVO/wNYEUi6LQI5IiCxi2gs/vMcG9FJ6CIA6ZYI5JCAxC7UaAjdk48/EUxdJXQhOLoUgRwTkNh5jSeh82DoVASajIDEbrZBJXRN1rNVHREIEZDYOeckdKFeoUsRaEICLS92Erom7NWqkghEEGhpsZPQRfQI3RKBJiXQsmInoWvSHq1qiUARAi0pdhK6Ir1Bt0WgiQm0nNhJ6Jq4N6tqIlCCQEuJnYSuRE9QlAg0OYGW+SEAhG7njofc/sEBp29GNHmvVvVEIIJAS4zsTOh2P/O0/s/WiE6gWyLQCgSaXux8oVu3fn0rtKnqKAIiEEGgqf+T7PdPnHCbNvS6Rx/b5SR0Ea2vWyLQQgSadmQnoWuhXqyqikAMAk0pdhK6GC0vExFoMQJNJ3YSuhbrwaquCMQk0FRiJ6GL2eoyE4EWJNA0Yieha8HeqyqLQAUEmkLsJHQVtLhMRaBFCeRe7CR0LdpzVW0RqJBArsVOQldha8tcBFqYQG7FTkLXwr1WVReBBARyKXYSugQtrSQi0OIEcid2JnS337FVXwFr8c6r6otAJQRyJXYmdKvXrHH33X9/JfWUrQiIQIsTyI3Y+UK359lnWrzZVH0REIFKCeTiV0+mpqbc5g29wY9uSugqbWLZi4AIQCDzIzsJnTqqCIhALQhkWuwkdLVoYuUhAiIAgcyKnYROHVQERKCWBDIpdhK6Wjax8hIBEYBA5sROQqeOKQIikAaBTImdhC6NJlaeIiACEMiM2Eno1CFFQATSJJAJsZPQpdnEylsERAACDRc7CZ06ogiIQD0INFTsJHT1aGKVIQIiAIGGfV3MhG5RW5s78NqgWkMEREAEUiXQkJGdCR016//pvlQrqMxFQAREAAJ1Fztf6Pa/Nuja2trUEiIgAiKQOoG6i92Tjz8RVEpCl3rbqgAREAGPQF3F7vsP7nD8Lp2EzmsBnYqACNSFQN3ETkJXl/ZUISIgAkUI1EXsJHRF6Ou2CIhA3QikLnYSurq1pQoSAREoQSBVsZPQlSCvKBEQgboSSE3sJHR1bUcVJgIiUIZAKmInoStDXdEiIAJ1J1BzsZPQ1b0NVaAIiEAMAjUVOwldDOIyEQERaAiBmomdhK4h7adCRUAEYhJYGNOupBlC96u33nK/GRnWd11LklKkCIhAowiUFLuTJ0+6UydPFnzr6Ox0nZ2dhWtOTOj4mSZ9qX8OGl2IgAhkiMA8seNXSf7l5ZfdoYOvu1OnTrkrli8vuMv3WhG0dTevd7dt3eqe27s3GNEhdIuXLCnY6UQEREAEskZgzo93ImZ9393mGMFt2NjrzjvvvOCL++Y09z/3ub90/7Rvn/vggw/cn//8f+61gwcldAZIRxEQgcwSKIzsELpNG3rdfQ/cHzj7w7/d5c6cOTPP8UWLFrnlK1a4//3Tn9yCz9Rsf2NeObohAiIgArUkEIzsmLredGNPIHTH3j3q3jh0qGwZX73+r90NX/ua4/fptDFRFpcMREAEGkwgGJqxRseaG5sRcYQOn//91/8W2DPKI72CCIiACGSZQDCyu2zZJW7fSy+5bXfcETl1LVWBwYMH3Xe3bnXvjR4vZaY4ERABEWgogQW2wzo2Nlqx0OH56Ojx4HWUY0ePNrQiKlwEREAEShH4zHXXXfdD1uyYwn700UelbCPjPvsXn5159+4c5y677LJIG90UAREQgUYTWIDILfmrJQ7BSxJI19nV6c4kTJ+kTKURAREQgUoJBBsUSYWu0sJkLwIiIAKNIrCA3dQT/33CrfjKikQ+MCo8+u5RvViciJ4SiYAI1IvAAl45+e2xY+4rV65MVOaVK1cF6fV1sUT4lEgERKBOBBbwXdfrV692774zMud7sHHK53uzf/zj/wTpwj8QECe9bERABESgXgSCNbvb79jq/vmll93f7Njh+DpYnIDdAw8+GHyD4nuzXzGLk042IiACItAIAoHYsW7HL5k8vmtX8HLx4sWLS/rS0dER2D3x2GNBOtIriIAIiECWCcz51RP7bbo9zz4TvIrCzzyxnmeBaSuiyJQVW0QOWwUREAERyDqBOWKHs/ziMF/uJ6y+YU0gaHdu2+5e2Pdi8HNPCCDh0cd2udVr1gTn+kcEREAEsk5gntiZw4geXyXjtRJGd4zqeD2FXVeJnFHSUQREIC8EioqdX4GLL7zIffjJx/4tnYuACIhArggEGxS58ljOioAIiEACAhK7BNCURAREIH8EJHb5azN5LAIikICAxC4BNCURARHIHwGJXf7aTB6LgAgkICCxSwBNSURABPJHQGKXvzaTxyIgAgkISOwSQFMSERCB/BGQ2OWvzeSxCIhAAgISuwTQlEQERCB/BCR2+WszeSwCIpCAgMQuATQlEQERyB8BiV3+2kwei4AIJCAgsUsATUlEQATyR0Bil782k8ciIAIJCEjsEkBTEhEQgfwRkNjlr83ksQiIQAICErsE0JREBEQgfwQkdvlrM3ksAiKQgIDELgE0JREBEcgfAYld/tpMHouACCQgILFLAE1JREAE8kdAYpe/NpPHIiACCQhI7BJAUxIREIH8EZDY5a/N5LEIiEACAhK7BNCURAREIH8EJHb5azN5LAIikICAxC4BNCURARHIHwGJXf7aTB6LgAgkICCxSwBNSURABPJHQGKXvzaTxyIgAgkISOwSQFMSERCB/BFoCrEbGx11F194kXvxhf6KWgD7666+xpG+lmHwwIB79JFHapllZF733n23mxgfj4zTTREQgbkEmkLs5lYp3hVC9/Tu3TUXC/I8MnTYPbRzZzxHqrDq6VnrvnXTN6oSa0SZD4qoP+KOHB6qwkMlTYsA/YwPVQtcV/phb2nzcqR+9FMbnISvy9ZjOkb4wucvjGGVP5P+n7wwTd1Gjx8v6fzp06enB/YfKGlDJDbf/PpNZe1qaTD89vD05ZdcOj3+6aeJs8VvOPh1hMktmzcH9+GkkB0Ce370o+kfPPxwwSGu77nrrsJ1lk7wjb7FM1RtoI9fe9XV0/R5AnlyPfTLw7GybtmRXdlPAc9gX3+/m5yc9O7MPyX+xf5+t72vb35kindWrlrpejdtdHt2705citWNvCwsXbbMvfLqq457jBrs09TiG31k+l6PpYJ61hPOI8MjZYtkRLd06bKCHdcrV64qXGfphBnOh5987Nrb2+e4deuWLXOu41zAhnysn74zy+rGtT1xkjuJXRlMAI4zPbApRVzwZYqtKPrGnp5guplUkN4ZGXZd3d3BX7jgG3vWBrcGB85OmcI29b6mnrds+Y7r6uqud9GplYdwB6LlfeAUK4y2GhkZLkRznaX2KTgWccIHaxKh48ON5aFXXv1ZkCvXgwMH3L/OXkcUNf9WnPFfLaaxTIvIx/64tiEu95iK2dDUbPzpk005iQsPXYlj+ujbkxfDW2wtTXi6anlyn2mA+WHDYobL5osdLS7MjfL9qYXFU4b569eXKSPD8KhyLS1Hi6f8qPzNFn7h+ltcuSNpi+Vt7RaensPBprn4Rt2KBaYfxs98NPbhfMmjVN6WzvKLSu/7gT31Mx852jTI7KijXxfzMW487ei3LT5xj6P5CQMY27UtGdhUzO5zLNbHzJ84R7/eft6c++1h7W5c/bL9PKx+sLNz8vJZcR/W4bob76jnyXyjn1sw/8LPq8UnPbo4CXGoFgEIwACKBauYDw0oPnQaxDoH6UwAgMF9AxbOw28M4swOHwh2j/zwg0AHRZws2MPu521xdqRefll23/InLlyGcSAtIVwu93gA7cEJd6CwP9jyV2mwDujz9fOw+vt5W2e3NLQVdbRrP71/Tp0pj/TYUgdrC7OLkzfp/DaytOEj/QZ+1AF+pAmXZ21kPPHPtykXT97ka6JhvKz/ct/iiSPA0i+De1yX4xeuX7Fry998oFzyNx8tHX5ZO1i9rT+WY4cdefr9gmeIPMmLALtwPYmjr9jzhh3PRtiOfM1/87faY12nse3t7Y5p3pC3w9fW3h7Mw5lKWWB4atNBpiwM7/1dQ9shZIrJehVrS+Fg+RFP2H5nXzBN4/p3f/j9HHPW2ZgKEJYuW+qmyqzPzUnsXGFHl/r5gTKffOqp4BY7p1YG006G8xwtDesQDM1t/Ywj9eM+Nvz1bpypy3/812+C+vhlwXFsdMy/Fevcpr62DhJOZHma77QF03rqZWxpK/wbGyv+Cg91IVBHpp+knZgYD3hbmXHzpm2L+Wt54SP95MfP/6Nj/dEY0r4WiGedjLrQVgSmSlfOTiXLxdNG9959T9Au1s7UE1aWh9WbtSv8IFy5clXQzrAgYENe5eoUGJf5h7z429bXV3iGqLv1K0uOjfU3yuWP5wLbOOywg6X1D/Kl3tyzetBOPm9s6G/YWX/iHuuP+Gc8uAcjY8h1LUJdxQ6HWUilUiZYdHAqZfCxAaQFYHLNImf4zzpoe3ubmReObW0zefjCRT5+4xSMvRNsAB/uHJ5J0VPfbzOKumdxpY6kM1/MzvIqVwezj3OkQ4Y7n5/O1oZs7Y5NGB5aEzps7aEx//z0dm6iisBZWtqcTm0hTt6URTp/gd7S25G2Y1OJB95/qLjvl8emDkJt/pAe0frx888HWZWLpwwC/RCBYC2KtTMEFhb4yh8fUj4bGPjMEVj/Osg04T/d3V1BSsogUGcGCpTvb57RHuaTibDZx2GHbVi0YdC7cVOhXPqpz5sI+JgYBobOue7ZgYY9c9ZXzD+zq/ZYd7GzUYA9RIwG6GBUjBEf4hfuyEAwcYxbYTowHch2KQFIxwuDjptfHLvxGr/gy8NKva3xh4YOB5xq+YlHhyzGhHIpn4cBG/tAshGmMbGRerjdLJ6jjbSpE8GEwB60uHljRyjmM3H0IYIvYpZ/uLxiu5hmXyye/Kk39eDdL8SFB5tRt18Gdj3ebqH1Zf8eZZWqT1CZmP/Q53meaDf8+tKlX3SM+n/+5i/mCD/twX0bMFj2cdiZrYkRdYIDwepB+dz361loc28nmTT4QZgYnwiOCGLYryCiyn/qLnb4i+ABI3iQls5MMXiAqSSdhngLNB7BdqvsPiCtYeyef6Qh+CTjYabRefmWfNN42ZfObQ3v+1DtOQ3ONODWLd+ZeaDGJwofDOG8GcGGpwxhm/C1dcgokaJjMkWDPyMVgo2S/bpix0iATu63W7gs2gGhs7Q84JzbwxE3bz4c8cn6Rbgcrm3kZGVxj+kqwRhFlUc8Ak/fKhePLTbUmRkHAkN7wYMRTpBXhK/4wcM9T/RDAhBkkPAf6sjzhPDiGyPVMC/awxciKyoOO7M1vuQVvHY1uxRAfFQ70eYEa/Oz+czMzOA+MzqcWa6x+FodGyN2PWuDDsXanCm4TW/pbAbRwAAHEP663VevvqbwcNkngg+FfBBPa3DrkL6NnU9OTtlpUA4X1tmtk0xNzXx6FRNY7Ogo4WCjPfy3QF6EUuUSz9fBmBawloL/fDoXE5Tx8Yl5UwYrr9iRDkrw80QAeSD5Gh1TIn9EwANE2xRG5aOjBUF8bnbqF1UWnZz6+w8XDwMPJTyJi5u3jYJIRxsXC+TJH+JDv+nq7goeeOpHMNGjD1rgQePBpY7l4klDm2NvfpA3r8TYtIyy/b5Me2LD6xJ23xcAE0nzJ+mRDyn6r/XdcD7WHqwZR4Vy7CwNTAlMwxF7P/jtZHU0AcTOf47MT+tXNjL28yt3Tp9lFIvvRUOcHQ52T2od2LXxd2XJnx0Z2xULl8fuEH7wxw6b7dTYbpnFWZ7h+xZPuexO2a6f3ceefO2ao+2e3TP7Wkp4N8v3kfTk7YdwGVxbXlZOVLlWN3iYnX8M+2E72uav70PUOTtwfn7hc/IvtjOIb9STNKXayy83ig2srS3MNk7elFlupw4exs5YhXcoKZM6mp3fp8yfcvGU4/cZ2td2M8nD8ja+tL2/C4kNbLAjba2CtY+1EXn75Ua1h5Udlx329Dfq79fZ8qFO+GF9mfu0AfaUHw7YwydpoI7kEeWL5VnXV0+s0HocaTS/0a3DcQR4GiHcuNWWQQP6fvvnfifCrpqOUq2fSj+fQNQrFvOtanuHPu+LD9f0DRP6UkJQW08qzy2tZ9L3ZGHRIV/OIxg6s2bnL1JblZjWpBEojw0Rm5JVU4ZNJZi+hgPTnbOLuuPBlIDppkJ2CDC1ZXpmU7R6eEa/ZsmnfXbBn7JtjZopHlPu8HpZPfwqVwZTUPtmRDnbauIbsmZXjcNx0to6TdT8HbD+Fnyc/OLaIKzsVLKhgA/VBPwkD1sPsrzsmk5ra0Ssl9TzoTJfdIwmQL+LesUi2rq2d9khtnVJcsaXmTXL7kwJHa/p8KGNb+FXc2pL5Gxu5zDMO3sZfcZuZtQII9o6G3cBeWTo7GsbeIUY8Ulnn3xpeRosns++UpO0DISODQR/IZeFWzqGjVbpMP7LqknLUrraEUBo2IiwQJvVa9SNsLEz7m908CHIxpCN8MyvRh/ZAOM5ZKe/Xh/UTSt2jW5MlS8CIpAtAk05jc0WYnkjAiKQBQISuyy0gnwQARFInYDELnXEKkAERCALBCR2WWgF+SACIpA6AYld6ohVgAiIQBYISOyy0AryQQREIHUCErvUEasAERCBLBCQ2GWhFeSDCIhA6gQkdqkjVgEiIAJZICCxy0IryAcREIHUCUjsUkesAkRABLJAQGKXhVaQDyIgAqkTkNiljlgFiIAIZIGAxC4LrSAfREAEUicgsUsdsQoQARHIAgGJXRZaQT6IgAikTkBilzpiFSACIpAFAhK7LLSCfBABEUidgMQudcQqQAREIAsEJHZZaAX5IAIikDoBiV3qiFWACIhAFghI7LLQCvJBBEQgdQISu9QRqwAREIEsECj8v7HP7d3rntv7DxX79O1169yeZ5+pOJ0SiIAIiEA9CRTEbmpqyl2zcpU7c+ZMReX/5/DbrrOzs6I0MhYBERCBehMoTGPb2trc7Xdsrah8RnUSuoqQyVgERKBBBApiR/m3bd3qFi1aFNuVdTevj20rQxEQARFoJIE5Ysfo7r4H7o/lzxXLl7vlK1bEspWRCIiACDSaQGHNzneEtbtTp075t+ad7x8ckNjNo6IbIiACWSUwZ2RnTpYb3S1evFhCZ7B0FAERyAWBSLFbt3696+joKFqB2yrcyCiakSJEQAREoE4EIsWOsouN7hBBxFBBBERABPJEoKjYIWhsQoRDMREM2+laBERABLJEIHKDwhw8dvSo29y70S6D11LeGz1euNaJCIiACOSFQNGRHRXg1RJ/dFfpS8d5gSA/RUAEmp9ASbGj+t+bfe+Ol4156VhBBERABPJIYGE5pxndXb96tevs6nS8dKwgAiIgAnkkUHLNzip08uTJ4FTfgzUiOoqACOSNQCyxy1ul5K8IiIAIhAn8P5KPGzjNSQIFAAAAAElFTkSuQmCC" alt></p>
<p><em>Award <strong>[1 max]</strong> for arrows in correct direction but not starting at the ball.</em></p>
<p>(ii) no;<br>because the two forces on the ball can never cancel out / there is a net force on<br>the ball / the ball moves in a circle / the ball has acceleration/it is changing<br>direction; <br><em>Award <strong>[0]</strong> for correct answer with no or wrong argument.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(T\left( { = \frac{{mg}}{{\cos {{30}^ \circ }}}} \right) = 2.832{\rm{N}}\);<br>\(\frac{{m{v^2}}}{r} = T\sin {30^ \circ }\);<br>\(v = \left( {\sqrt {\frac{{Tr\sin {{30}^ \circ }}}{m}} = \sqrt {\frac{{2.832 \times 0.33 \times \sin {{30}^ \circ }}}{{0.25}}} } \right) = 1.4{\rm{m}}{{\rm{s}}^{ - 1}}\);</p>
<p><em><strong>or</strong></em></p>
<p>\(T\cos {30^ \circ } = mg\);<br>\(T\sin {30^ \circ } = \frac{{m{v^2}}}{r}\);<br>\(v = \left( {\sqrt {gr\tan {{30}^ \circ }} = \sqrt {9.81 \times 0.33 \times \tan {{30}^ \circ }} } \right) = 1.4{\rm{m}}{{\rm{s}}^{ - 1}}\);</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about kinematics.</p>
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p>Lucy stands on the edge of a vertical cliff and throws a stone vertically upwards.</p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p>The stone leaves her hand with a speed of 15ms<sup>–1</sup> at the instant her hand is 80m above the surface of the sea. Air resistance is negligible and the acceleration of free fall is 10ms<sup>–2</sup>.</p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p>Calculate the maximum height reached by the stone as measured from the point where it is thrown.</p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p>Determine the time for the stone to reach the surface of the sea after leaving Lucy’s hand.</p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<p>\(h = \frac{{{v^2}}}{{2g}}\);<br>\( = \left( {\frac{{225}}{{20}} = } \right)11{\rm{m}}\);<br><em>Award <strong>[1 max]</strong> for 91m or 91.25m (candidate adds cliff height incorrectly). </em></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<p>time to reach maximum height=1.5s;<br> time to fall 91m=4.3s;<br> total time=5.8s; <br><em>Answer can be alternatively expressed as 3.0 (to return to hand) +2.8 (to fall 80m)</em>.</p>
<p><em><strong>or</strong></em></p>
<p>use of <em>s=ut+</em>½<em>at</em><sup>2</sup>;<br> 80=-15<em>t+</em>5<em>t</em><sup>2</sup> or −80=15<em>t</em>−5<em>t</em><sup>2</sup>;<br><em>t</em>=5.8s;</p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 16">
<div class="layoutArea">
<div class="column">The kinematic solutions seen were very pleasing with clear explanations and correct answers. However some candidates added an extra 80 m to the answer having failed to appreciate that the answer should have been “from the point where it [the stone] was thrown”, i.e. the top of the cliff.</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 16">
<div class="layoutArea">
<div class="column">Two routes to the answer were seen: a straightforward approach in which both sections of the motion are considered and totalled, and a method using a single determination of a quadratic equation from <em>s</em> = <em>ut</em> + 1⁄2a<em>t</em><sup>2</sup>. Only about half the candidates using the second route were able to arrive at the answer without error. The first approach was well done by the majority attempting this route.</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A glider is an aircraft with no engine. To be launched, a glider is uniformly accelerated from rest by a cable pulled by a motor that exerts a horizontal force on the glider throughout the launch.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The glider reaches its launch speed of 27.0 m s<sup>–1</sup> after accelerating for 11.0 s. Assume that the glider moves horizontally until it leaves the ground. Calculate the total distance travelled by the glider before it leaves the ground.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The glider and pilot have a total mass of 492 kg. During the acceleration the glider is subject to an average resistive force of 160 N. Determine the average tension in the cable as the glider accelerates.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The cable is pulled by an electric motor. The motor has an overall efficiency of 23 %. Determine the average power input to the motor.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The cable is wound onto a cylinder of diameter 1.2 m. Calculate the angular velocity of the cylinder at the instant when the glider has a speed of 27 m s<sup>–1</sup>. Include an appropriate unit for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>After takeoff the cable is released and the unpowered glider moves horizontally at constant speed. The wings of the glider provide a lift force. The diagram shows the lift force acting on the glider and the direction of motion of the glider.</p>
<p><img src="data:image/png;base64,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"></p>
<p>Draw the forces acting on the glider to complete the free-body diagram. The dotted lines show the horizontal and vertical directions.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, using appropriate laws of motion, how the forces acting on the glider maintain it in level flight.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>At a particular instant in the flight the glider is losing 1.00 m of vertical height for every 6.00 m that it goes forward horizontally. At this instant, the horizontal speed of the glider is 12.5 m s<sup>–1</sup>. Calculate the <strong>velocity</strong> of the glider. Give your answer to an appropriate number of significant figures.</p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>correct use of kinematic equation/equations</p>
<p>148.5 <em><strong>or</strong> </em>149 <em><strong>or</strong> </em>150 «m»</p>
<p> </p>
<p><em>Substitution(s) must be correct.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>a</em> = \(\frac{{27}}{{11}}\) <em><strong>or</strong></em> 2.45 «m s<sup>–2</sup>»</p>
<p><em>F</em> – 160 = 492 × 2.45</p>
<p>1370 «N»</p>
<p> </p>
<p><em>Could be seen in part (a).</em><br><em>Award <strong>[0]</strong> for solution that uses a = 9.81 m s<sup>–2</sup></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong>ALTERNATIVE 1</strong></em></p>
<p>«work done to launch glider» = 1370 x 149 «= 204 kJ»</p>
<p>«work done by motor» \( = \frac{{204 \times 100}}{{23}}\)</p>
<p>«power input to motor» \( = \frac{{204 \times 100}}{{23}} \times \frac{1}{{11}} = 80\) <em><strong>or</strong> </em>80.4 <em><strong>or</strong> </em>81 k«W»</p>
<p> </p>
<p><em><strong>ALTERNATIVE 2</strong></em></p>
<p>use of average speed 13.5 m s<sup>–1</sup></p>
<p>«useful power output» = force x average speed «= 1370 x 13.5»</p>
<p>power input = «\(1370 \times 13.5 \times \frac{{100}}{{23}} = \)» 80 <em><strong>or</strong> </em>80.4 <em><strong>or</strong> </em>81 k«W»</p>
<p> </p>
<p><em><strong>ALTERNATIVE 3</strong></em></p>
<p>work required from motor = KE + work done against friction «\( = 0.5 \times 492 \times {27^2} + \left( {160 \times 148.5} \right)\)» = 204 «kJ»</p>
<p>«energy input» \( = \frac{{{\text{work required from motor}} \times 100}}{{23}}\)</p>
<p>power input \( = \frac{{883000}}{{11}} = 80.3\) k«W»</p>
<p> </p>
<p><em>Award <strong>[2 max]</strong> for an answer of 160 k«W».</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\omega = \) «\(\frac{v}{r} = \)» \(\frac{{27}}{{0.6}} = 45\)</p>
<p>rad s<sup>–1</sup></p>
<p> </p>
<p><em>Do not accept Hz.</em><br><em>Award <strong>[1 max]</strong> if unit is missing.</em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAY4AAADiCAYAAABZRSDpAAAgAElEQVR4Ae2dC3BUVbrv/90hdBJCkwd5QkIexBAwkgGDGDAIGtEwIMOATqk4SjGn6nrvzCnPscrXqSlqqjhqnalDnTN1y3vOeJ2cQdBRrjKojICooCCHGIzEgDEEQhJISCCPJq9OyO5ba/feSXcnJJ2wO717939XUenuvda3vu/3Nfvfa6+11zI5HA4HeJAACRiWwKuvvooXXnjBsPExsMknYJ78JtkiCZAACZBAIBOgcARy9ug7CZAACfiBAIXDD9DZJAmQAAkEMgGTd2McdtR/+QEOnZ+Fos33YPa1Urz3YQ2Sin6Ge1Isvonf3oyKI5XA0hXItZrhaJmENseKxN6I0k8+RcW1fgAJyN/4kOzbWNV4ngRIgASMRGCKd8F0o73VDkRFYYYZMMXl45Et+d5VnVApO+pPfobSxlkoinR2inzf5liOOtBbX4nKa9OQu7YY2X1twHR22MaixvMkQALGI+CdcEidaG8fQEhGFCInhYFTqMxJSYjTzbW5Dy2NVyGFzEJibBis5qRJIcFGSIAESEBvBEa4VeWAveVHnDx+EtXX+mGOXYjiglB8/eG3QP46PJwLVPx1H0qxCBsfvh1Tzx3GO191IXN+OC5934DeuHz87Ke5sF6vw6kTJ/BdQyeAUMRmLUHBktsQZzE5GThsqD91Ase+a0A3AHNsDlatzEdqZCO+3HkI1QMKqshcrN00F0371DZzYUUvWn4sw/HjVbgmiXKRmJ1/L1bkxkO+cWarwF/3nEZY7k+Q3FuNsuprkMyxyF61EgWpVigeeORiFJu953DwnaNokNsS1aKQu3Yt8uNCPWzwLQmQAAkYn8Cw3/OOju9x8OOTaJ25HBuffgzFyU347PD3aIMFMVERgNz7cCAyOQHTcQPX22yQpGuoaYzFqsefxlNrc2G1VeCj9z9FRU8mfvr403j653kw13yNwyfrYRdMHa2o+OivOFQdijs3Poktjz+EBTiHTz/5Fi2mFCwvzkUkIpBV9Di2PJKPOIfo8Qy12VHxGT7+6hLCF/8Uj295EhsL49BaeghHzgmRAqSOdrTDjkuV1bDNWYlfbnkEhcmdqDpRhasjPrVyA6PaDJuLojXCJwtmFz6CLVs2UDSM/3/DMBGK5zh4kICWBDyEoxM1/30aLRHzUFCQDqspDPF35iPT3AcJ0xE1IxTobEfrQCiioiNgQieaLl8HzKlYvnoR4uXehGIDQ5+ZZszD0gVWdNf8iPreAdgbzqKyJQxZy5ZirnUKYElAdkYM0NmMpuv9uN7UjE61PRGtS5voOIujZc2IyL0XRXIPYwqsmQuQGdmPhsoLsEFCZ7sNAwhF3OJ7lB5GKCzhIUBPL3pHEA7HmDYdsHd0oBvhiJ7ho8kAWmaVtkiABEjAhwTchaO3Cecv9yMyfQ5mqvdzTKEIE4IQYkVUpAm9zVfQpl5AlbEPc3IaZocpFWQbdrh9hhBYwiyAZEdPXxfqz9aiOzIN82aHK6GZYc1dgy1b1iDXKqGj/brSnnDP4dJmKK7X1aFFsiI9LXrolpNpBhKTwoD2dnRI/c765iTkZKlllMH9EUFKXthUelZmK6KnezcsNGJT/JAESIAEDEDA7SootTSiUQpDRuKMoYuyGqQ8o8rjAir3BCxIzkhEmFLOaQOQGo5i95tH1drK3wRA6kJbez/MUdGYroqTWyn3GVxQb4fJF20HOn4QoiIGqF3HF1zrdONiq4dwKQKnzgpzaw6K0Ixq047mth4gIgUz1DEadyN8RwIkQAJBQ8BNOEaMuvcaGtsciFwgxjSUC2h0FuLDTJBaxFhCFDLiIzyqivGJmzzjIdXjyx4JpiQLpnrUkt8Om8FlR4e4aMtt9siiMEwAZB8HEJIZhUhlDCYi2eocKBdGZYEDQmJGmhXmKjouDrnadHSjalSxc6nHlyRAAiRgcAJut6pMYWEIxwB67OIBN3HcQEf1j7gsKWMajm65t+C8ACtjCfItrCEzw20Ajo4KfFiyEx9WtMJhsiAs3AxHjx19Sivi4b5339yFg2JwW77IhyAqKhKyVbc2IxAVY1FuSSmVB32cjoy0mTC7jIeoHRqHvRd2WJCUFO20qVaV/3ph8/oVXO40ITopdrBn5WaCb0hAxwS4wKGOkxOgrg1d8QGYrAlIiujH5coqNNsl2Ju/wxdlTZDUMQ27DW3dJuWirtziUR4KVOM3zZyD9EjVhgMO2wUc/6Ic12LzUHh7DEymaKSlWyFdPouK5l7n+eM/oDvuDtyVGanMiFJmcAmjbm1ORXxaCiIGanGqrBF23ICtrhRflDUjLOsuLEkJV+qHINyi3soaa2DbW5suPqnB8i8JkAAJBCEB91tVlhQsuW8xeg6X4aNd38Ecm4n5yZG4dtk5KOwcv7AgQ0zLdXSgqbEXIUket39M8bjzwVUwnzgh21Cf4Viz5DbMkLsAoYi7837c3/c5PvtoNypgRsTsxViz4nbn+fi5mB9bi4pDb6MxtxgbEsW4i9ImTLCk3IXionCcOHYAuyok8QAIshbfh4W3p8ACCTZ5RpUyA0xOqMe4zLAkT8TmMCP8gARIgASChsAIDwAGTewMlASCggD34wiKNE9qkG63qia1ZTZGAiSAY8eOYefOnejvV8cVCYUE9E+AwqH/HNFDAxPo6OiQReNvf/sbxcPAeTZaaBQOo2WU8QQUgSlTnMOMQkA++eQTikdAZS94naVwBG/uGbkOCDQ0NCApKQkpKSmw2Wz45ptvdOAVXSCB0QlQOEbnw7Mk4DMC6rhGYmIirl69ijVr1uD8+fP4+uuvfdYmDZOAFgQoHFpQpA0SmACB9vZ2uVZ6errc2wgNDUVBQQHOnj0L9dwEzA6rwgcAhyHhB7dIwP05jls0xuokQALeE+js7ITVakVUVJT8V9y2ys7OhhASHiSgZwIB0OPoRUvF5zhY0ebk6GhG6bsl+K8v6zG4r5KeCdM3EhiFwKxZs+Sz4m9TU9MoJXmKBPRDQPfCIdWXYn/pFYSLp9XFYYpH/iNP4Zf3pIyw7pR+wNITEhiLgOhZ3H333XKx1NRU1NTUjFVlQue5kdOEsLHSKAR0LhzKQormmUiKG3Et3VFC4ykSCBwC8fHxsrOXLl0KHKfpadAS0G6MQ9xCem8/KqMWYVVSM46X1qEbkUgtLMLyGQ04ergMDd3S0N7iYuc/uO9vDmXdqvtW3I44Sx/qv/wAh6rFjuTA0d0foG3tGmQ3fYo9pUD+xoeQazW57Y/uXl8sjNUm749eFjYfBcm9OFtWjWtSKGKzl2OlvMNh0OadgeuMgBgYj4uLk29XqbevdOYi3SGBQQLa9TjkVWwlSA3f4VtbJoqffgSFs/tRd/QD7P64FtGrfoEtjxUiua0KJ6paIXZwde5v/jUuhedhrdibfGMBZraW4eMjNeiFBSnLVyE30oyQrCI8Je/zDefufpHxSJxuHqO+2Hxc7FU+AOnSDzhrm42Vv3wajxUmoa3qW1Rd5RIPg98CvtAFgbS0NFy+fFkXvtAJEhiNgHbC0deDHrFYbVwe7pV/zSv7fMOC2ctXIj9+cI9A9PTa4XC04vuj5WiJWID7inIRZzHBZE3HwkwrpIYqVNskQNkHY3BvDjg3XZJ3D4QX9ZUNnIZ8MmGqxQIT+tDby6H10b4YPDf5BMRDgC0tLejq6pr8xtkiCYyDgGbCIXWI3QAtSM5JV5ZPV3bWMycgY/Y0p0uyuCibNF2/hPMtA+77myMUsYlxCMF1tHf0D9+bQ9mNMCLaCss46g/5pIyZjAMQi5LAZBEQ03ItFguam5s1bZLPcWiKk8YgBgU0OdQLchSS1G1kHf3otTuA6AR5m1nRjCouMVERyuswJLntb67aEftpmNHpsbeG43ob2pXdCB2yUHlR31W41P3F4bpfhyYAaIQENCEwe/Zs1NXVaWKLRkjAVwQ0GhxXdgMMmYWoSEWLlDGPoY2ePEThog0Dwy7g3WhubAdCUhEVKTnHMwZtqjv5RSEn3oJOb+tHxGOGRd1EVukFDdr0FVba9QUBqf5L7DxUh6TCh/HAXAtaSj/Eh2fiULT5HqSYe9Fcegj7K1ogIQSx+WvxYOIlHPnWjKUPLIB1JIfsjSj95FNUXBPjXQnKhAuNfkuN1J4Xn4lpucePH/eiJIuQgP8IaCQcygXZZRtZZ+/AdZ9vV3EJRWSUFSG4JN+SgtUiE3B0XMDZy/2IyJyDeHM3fmy1A4M2lZ38QuIQFel9fXk8RNUNpRdkTkpCnH+vD/7LeMC2rP7wUHu1ZsTlb8CWfCWg3gaUV15DRO5PsTF7AI0DHTi5rxSNGUWIHDFmB3rrK1F5bRpy1xYju68NmO7/L4WYlmu32+UlR8StKx4koEcC2vxPUWYvhcSo28iqvYNwRM9wigKUgW1VCMzxc5AR0YuaU9+j2T60N3lLWBaWLUmBZZhNOzraegaFxNv6pnALBp8AkXtBgDxGosds0KdRCKg/PKxDvVqX0s5tjZ23Ls3WJMwK6UTrgOsPF5fC8ss+tDRehRQSh8TYMFhnJcGq/sDwLDqJ76dNmyZPy62vr9esVT4AqBlKGlIIaNPjkGcvKYPesuER9vlWhSBDERdLKpYXr0KE297keShamIMU+dZSHLLnx6Gm4hBKGnOxdkMiGhvtCPG2vq0drQOuPgGuYyQ6uEbwSzguAh69WlsF/rrnFJC/Cgsaj+Jog122Vn3obdRHTIW9u1ee8o2je/BuWzE25cdjMOe953DwnaNokCfWVeNQSQty165FvrUdP548juPV15zL2USkIv++5ciNEzMCHeg9dxjvfNWFzPnhuPR9A3rj8vGzn+bA1HAaJ46dlp9TgjkW2atWoiDV6mzPYUP9qRM49l0DxBNJ5thsFBQsxm2yzZEBJCcno7a2Frm5uSMX4Kck4GcC3HPczwlg814SkC/2X6F9gVMEHPJ4Rwvmiwv+zDbl4dPl+MUDcxGGfo/xj+FtOFpK8d6HPyJKHi+JBBytqPjoY5R2JTnFYqYd5w4fwNGGGBT+4j7MDbvhtFnRDnPsQhQ/uAjxlgF0VBzEB6WdmF24GvfJ4y5inKUfC2S/rjttXotCbnER8uO6lTYyUPSzAuUH0nDfxNPjBw4cwObNmyEeDLzVg3uO3ypB1vckoM2tKk+rfE8CGhNw7y0q4x1mK6KnTwGG3YLsRNPl64O3NYe74nkr9QY6vj+BspZpyL1vhbOHYZqBzIXpiJQuobJaLH+u2DSnYvlqIRomwH4ZpytbEJa1FPfMnQETwhCfnYZoXMflpuvorTmFshbz0HNMphjcvnQeIrtrcbb+5s9qqE+Oaz0tdzgHfkICEyNA4ZgYN9aaVAKeF3pl9l3EDHnGnLuoDK0YMDTm5ums563U66g73wIpMgVpM4d+4ZtiE5EUMoD29k5Iyq1Wc3IaZoeJm15icP1H1HRPR+a8JKgjebDm4uEtv8TDuVPRcP4KJLfp4IDJEgYLbqCnZ/SVCzIzMzkt1zNtfK8bAtqMcegmHDpiTAIeF3pHG9ra++GcMTckKunqRIxhY26eVJSJFhEpzqnag+NviYgdHAgRnQyXcbLOBnmwPTkjEc41EDx88mxCapPH5CDV4ejuP+Go2/kQxLq9H/5G7ApYUVEx/MQEPuEDgBOAxiqjEqBwjIqHJ/VBQLnQR2c5HybttaGt24TonFiE4QZa2myQ1NtWLg+aZqhL8XsG4eh2ER4A110EYrCsA73NV9AGCzIHH1iNQob6gCsk9Pb2iS4ELFNd1WbQgPxCrLO2eQJbACQkJODYsWOcluuOk+90QoC3qnSSCLoxCgHl17t660l9RkisQDA49jC4QoH6vMcoqwMoa6BFJwnhARAZhRj1lpTqhqMN1WcbIUWkIC0+xLmKQYjrVGAzwsKmAg477H1iyU5x98q5yVjJwXPoNVkQFm6Go8eOvkGbraj4cCdKPqxAh1JFPeX5V90V8MqVK56n+J4E/E5gUoSDi7b5Pc+B7YDrLSOxFH9HB7rVVQfU20yDzxCN/ryHAOG69I0MxjwTaRnTMVBTjrLmXsBhQ93xL1HWEoasZYuQImZPtXsOtodiZloKIqVGVFY0wS7X+RqV3fFYfFcawkzRSEu3Qrp8FhWuNq/FYnFhjrKe2+hp0WpXQD7HMTpnnh0/AZ/eqhKCUVZWhnPnzmHZsmXyfsrjd5E1gp2AeqF33npSH9xTlrdxExVBairis7MQW/Pd0PMZcUMD3sBIPZJwpCxfjaKIEzj20W6IkQVzbBYWFy3E7Snhck+iqbEXQ8vnODNiivsJHrz/Bj7/7G/YJSqJ5z7WLEfuDOd/q7g770eR2dVmNgrWLMZtyvmx8iqWHxHTclesWDFWUZ4ngUkl4JPnOFwFQ40mPz+fDzSpMPiXBLwg0N/fj507d2L16tVQp+h6UW1YET7HMQwJP7hFApr2OEYSjFv0j9VJIGgJiIf/xGq5TU1NtyQcQQuQgfuMgCbCQcHwWX5oOMgJJCUlycuPLF68OMhJMHw9EdBEOE6ePIkLFy6MGldpaSnEP70cW7Zs0Ysr9IMEbkpA7Aoo/t+IH2diAUQeJKAHApqMcYh7sWfOnEF5eTkkSYLDMXyuIcc49JBu+hCIBHbt2oWCggKkp6cHovv02YAENJmOK+7FLly4EI899hhuu+02A2JiSCTgPwIZGRlcfsR/+NnyCAQ0EQ7VrhAQMe320Ucfxdy5c9WP+ZcESOAWCIjlRxoaGm7BAquSgLYENBUO1TVxL7awsBBr166FGNzjQQIkMHECrrsCTsQKHwCcCDXWGY2AJoPjN2sgLi4ODz30kLzeDgf2bkaJn5PA6ARcdwXkdrKjs+LZySHgkx6Hp+viy67FhjSedvmeBIKFgLorYLDEyzj1TWBShEPfCOgdCeifgFh+pKWlBWIGIw8S8DcBCoe/M8D2ScALAuK2rzi4K6AXsFjE5wQ0eY7D516yARIgARw5cgRTp07F3XffTRok4FcC7HH4FT8bJwHvCYhpuZcuXfK+AkuSgI8IUDh8BJZmSUBrAmLBQ5vNJs9S1No27ZHAeAhQOMZDi2VJwI8ExLRcq9WK8e4KyOc4/Jg0gzZN4TBoYhmWMQmIfTkuXrxozOAYVcAQoHAETKroKAkAYloulx/hN8HfBCgc/s4A2yeBcRAQy4+Ig4Pk44DGopoToHBojpQGScB3BFx3BfRdK7RMAqMToHCMzodnSUB3BMTCoWNtnKY7p+mQoQhQOAyVTgYTDATEroBiWq7YFdCb44UXXvCmGMuQgNcEKBxeo2JBEtAHAbFoqMVi4fIj+khHUHpB4QjKtDPoQCfAXQEDPYOB7T+FI7DzR++DlMB4dgXkA4BB+iXxYdgUDh/CpWkS8BUBdVdAsdQ6DxKYbAIUjskmzvZIQAMC6q6ATU1NGlijCRIYHwEKx/h4sTQJ6IYAdwXUTSqCzhEKR9ClnAEbhQB3BTRKJgMvDgpH4OWMHpOATEDdFXCstav4HAe/MFoToHBoTZT2SGASCWRmZoLjHJMInE3JBCgc/CKQQAAT4K6AAZy8AHadwhHAyaPrJMBdAfkd8AcBCoc/qLNNEtCIgDe7AvIBQI1g08wgAQrHIAq+IIHAJMBdAQMzb4HsNYUjkLNH30kA3BWQX4LJJ0DhmHzmbJEENCXAXQE1xUljXhCgcHgBiUVIQM8EuCugnrNjTN9MDofDYczQGBUJBA+BqqoqVFRUYOPGjcETNCP1GwH2OPyGng2TgHYEEhISxrUroHYt01IwEqBwBGPWGbPhCHBXQMOlVNcBUTh0nR46RwLeE7jZroB8jsN7hizpHQEKh3ecWIoEdE9gPLsC6j4YOqhrAhQOXaeHzpGA9wTE8iN2ux3cFdB7Ziw5MQIUjolxYy0S0B0BMS1XLLXO1XJ1lxrDOUThMFxKGVAwE+CugMGc/cmLncIxeazZEgn4nAB3BfQ5YjYAgMLBrwEJGIiAuFVlsVjguisgdwA0UIJ1EgqFQyeJoBskoBUBMUjOcQ6taNLOSAQoHCNR4WckEMAEuCtgACcvQFyncARIougmCXhLwHNXQD4A6C05lvOWAIXDW1IsRwIBQsCbXQEDJBS6qVMCFA6dJoZukcCtEEhPT8fFixdvxQTrksBNCVA4boqGJ0ggcAmoy4/09/cHbhD0XLcEKBy6TQ0dI4GJE1B3BWxubp64EdYkgZsQ4EZONwHDj0kg0AkcPHgQsbGxWLx4caCHQv91RoA9Dp0lhO6QgFYE5syZgwsXLmhljnZIYJAAhWMQBV+QgLEIiN6GzWZDWVkZxNayXV1dtxxgT0/PLduggcAnQOEI/BwyAhIYRqC9vR379++XP//uu+9w7Ngx7Nmz55Z6IHv37sWDDz4I8ZcCMgx5UH3AMY6gSjeDDRYC77//PoR4jHQ8+uijEM96jPcQYnHgwAHs2LFDrvrss8+isLAQMTEx4zXF8gFOgD2OAE8g3ScBTwJCMG4mGqLs+fPnPat49T48PBzr16/HkSNH8Morr2D37t3Iy8vD66+/zh6IVwSNU4g9jgDM5UhLSLiugDrWeRHyWGUmcl7YHY8fY7XhKz9dfQzkNm7Ge+rUqYiKihKn5WPbtm3qS5/9ffPNN3H//feP+b0SDoyV91s976s2hF3X786t+jlSfa3b0IKFsOF5UDg8ifA9CQQ4ATEI/pe//GUwCiEcqniYTCYUFBQgOzt78Px4X4hbViUlJXKvY+nSpdi+fTuysrLGa4blA5jAlAD2na6TAAmMQECMX4h9OUbae9xsNkMsgjiRw3WMIyEhAe+8844sQhOxxTqBTYBjHIGdP3pPAiMSWLVqFSIiIiB6GOIQf6dMmYLi4uIJDYwLG+rAuBgUf/fddykaI5IPjg95qyo48swog5CAWKdK7AS4YsUKHDp0CBkZGQgNDQ1CEgxZawIUDq2J0h4J6IyA2Ie8rq5OZ17RnUAmwFtVgZw9+k4CJEACfiBA4fADdDZJAiRAAoFMgMIRyNmj7yTgSwJNe7E1NQ9b99b7shXaDkACFI4ATBpdJgESIAF/EqBw+JM+2yYBEiCBACRA4QjApNFlEvAFAampFDtfXgcxCys1dR1efvtrNAw2VI+9W/OQ89RWPJUjzudgXUkVJPSh6dRe7Ni6VKmXipyt/47D1bbBmu52l2Lrv2zH1hzeAhsEFIAvKBwBmDS6TAKaE5Cq8Oe/exL/fGUTDp2pRe3Jv0fIgX0449FQ12fNSH39BM6f3IPfPZgOVO/G361/FZXL/y/O1NWh9uSfsKnhdTz9j++jWgIg1WHftl+72N2O5MNv4eCtbw3i4RnfTiYBCsdk0mZbJKBLAhJsR3fhtfJFeP75TciONMOcuBLPvbAJwxZfz9uAzYXJmJK4AHmJEmqOHUL5tAfwxIYcRAIwJ96F9avnAOVlqGzug+3oG3hxf+bYdnXJhU7djADXqroZGX5OAkFDoA9XamvQNS0TaQlTlajNsM5bhGXY504hPgrTB39uhiHrqV2oe7IJpz7eh70DgHThI7y8Q/RTxKKH47Dr3grf6ZzA4FdA537SPRIgAZ8RuIHrbdcASzSsEeO5JEjorNqJrQuWYP3/fBOl7RLM6Q/j+c23KZ7exO7MVCzg3k8+y+ZkGGaPYzIosw0S0DWBKZgeHQvY22DrlgCrt+LRim/+/J84OOc57N3zv7AoUtTrxKkL/1uJ9iZ2r9ahslXXQOjcGAS8/YaMYYanSYAEApfAVCSkZWJaVw1qr/QpYUiw/XAKx0YLSrqG2oqrwOxUJMuiIQbDL+H05xeVWhO0O1qbPKcLAhQOXaSBTpCAPwmYYS3cileKa/DaayUobeqD1PQ5fv/qexh18pM5Fmm5M4FjX+DEZSE4NlT9eQdeK1drudp9D1Wdknd2/YmCbXtFgMLhFSYWIgGDEzCnYv3v/wuvJOzHz5fMRdqSf8PA6nWYP2rYM1H463/F9g3n8Zulc5Gaehf+vnoJXvndZsxHOUp/aAfMqVi37Q94KeE9FM1P89LuqI3ypA4IcFl1HSSBLpCALwnobVl1qboE6+97Byv37sGzi8QkXh6BRoA9jkDLGP0lgYAhIMH2xW+Rk7oOv/3iMsTzgOiswr6S91E+vxgrbosImEjoqDsBzqpy58F3JEACmhEQYxzPYNf2P+ClJ5ciTbY7DfM3/xP2lmxSZmFp1hgNTSIB3qqaRNhsigT8QUBvt6r8wYBtakuAt6q05UlrJEACJGB4AhQOw6eYAZIACZCAtgQoHNrypDUSIAESMDwBCofhU8wASYAESEBbAhQObXnSGgmQAAkYngCFw/ApZoAkQAIkoC0BCoe2PGmNBEiABAxPgMJh+BQzQBIgARLQlgCFQ1uetEYCJEAChidA4TB8ihkgCZAACWhLgMKhLU9aIwESIAHDE6BwGD7FDJAESIAEtCVA4dCWJ62RAAmQgOEJUDgMn2IGSAIkQALaEqBwaMuT1kiABEjA8AQoHIZPMQMkARIgAW0JUDi05UlrJEACJGB4AhQOw6eYAZIACZCAtgQoHNrypDUSIAESMDwBCofhU8wASYAESEBbAhQObXnSGgmQAAkYngCFw/ApZoAkQAIkoC0BCoe2PGmNBEiABAxPgMJh+BQzQBIgARLQlgCFQ1uetEYCJEAChidA4TB8ihkgCZAACWhLgMKhLU9aIwESIAHDE6BwGD7FDJAESIAEtCVA4dCWJ62RAAmQgOEJUDgMn2IGSAIkQALaEqBwaMuT1kiABEjA8AQoHIZPMQMkARIgAW0JUDi05UlrJEACJGB4AhQOw6eYAZIACZCAtgQoHNrypDUSIAESMDwBCofhU8wASYAESEBbAhQObXnSGgmQAAkYngCFw/ApZoAkQAIkoC0BCoe2PGmNBEiABAxPgMJh+BQzQBIgARLQlgCFQ1uetEYCJEAChidA4TB8ihkgCZAACWhLgMKhLU9aIwESIAHDE6BwGGFFMG0AAAeWSURBVD7FDJAESIAEtCVA4dCWJ62RAAmQgOEJUDgMn2IGSAIkQALaEqBwaMuT1kiABEjA8AQoHIZPMQMkARIgAW0JUDi05UlrJEACJGB4AhQOw6eYAZIACZCAtgQoHNrypDUSIAESMDwBCofhU8wASYAESEBbAhQObXnSGgmQAAkYngCFw/ApZoAkQAIkoC0BCoe2PGmNBEiABAxPgMJh+BQzQBIgARLQlgCFQ1uetEYCJIB67N2ah9Ste9HkFQ0vyktNOLVzB0pOdXplkYV8S4DC4Vu+tE4CQUggBevfKEfdG+uRqFH0N8rfxpaXD6BNI3s0c2sEKBy3xo+1SYAESCDoCFA4gi7lDJgEPAjcOIUdeanI23EKN+RTEmxf/BY5qY+jpLrXWViqQsm6HOS8/AVs4pPOahzesRU5qalITU1FztZ/x+Fq+Qwwwq0qqakUO19eJ5dNTV2Krf+yHVtz8rB1b/2QMw1f423XMjsOobpTwo1TO3Dn+h1oxRnsWD/fxc+hqnw1uQQoHJPLm62RgP4ITEnFT9bMQevnp3FBEu5149y3J9GFOlRfUsYUOhtRXT0TG4puh1Wqw97nNuPpA8l45fD3qKs9gdeTP8XTvy7BqU7ZgHuMUh32bfs1/vnKJhw6U4vak9uRfPgtHOxyL4YzR1CZ8AJO1tbizN7H0LDjN/jHPdUwL3oW3+x9FjGYj2f3nkH5s4swxaMq304uAQrH5PJmayQwKQTeeustPPPMM/I/0aD6+uWXX0Zra6uHD1GYl58HlJehsvkGIF3C6c8vAriIj7+tww1IsJ36DO93pSJrViSkms/w5v5QbH7hN1ifZQXMybj3uX/A5ouvY9uearhLhwTb0Tfw4v5MPP/8JmRHmmFOXInnXtiEaR5eIOZRPPNMARLNZkTmrcYvhEtfnUWzZzm+9zsBCoffU0AHSEB7AqdPn8ZHH30k/xPW1dc7d+4cobEpiF+wGHkoR+kP7UDzWXxVvhC/fnYD7HIvROmB5BVhWeYUNFeWoRx5yJ8XNWTLmon8ZRZUVzfCfd5TH67U1qBrWibSEqYq5c2wzluEZUO1na/uTEey2pUwRyAq3uJZgu91QoDCoZNE0A0S0JLAr371q2HmQkND8dxzzyEmJmbYOXPm3diQdxUff3sBrT+cwrG8B7GuOA9ZohfSdFHugcSsvAPp5l5cvlAN4K/4zZIMZcxCjHMsw28OtqLrSju63azfwPW2a4AlGtYIl8vNzFQsGO6GW02+0S8BVd/16yE9IwESGDeBrKws3HHHHRA9D/Xo7+/HE088ob51/2uORVruTLR+fhJHZ9QAuauQlJWEDXlv4eu//D+cLZ+JNf+QiikIQ3J6FjBtCf7839twr9VFDAYtugx4YwqmR8cC9jbYuiVALX+1DpWed8wG6/OF3gmMlHW9+0z/SIAEvCDw0ksvDZYarbfhLBSDRUUrMa36A/yf3Vecg+CymNjx9o43UD5tJYoWiS6Cclur63McOuVy5e8sxY4H87CupMpjjGMqEtIyMa2rBrVX+hR/JNhEr2bQO74INAIUjkDLGP0lAS8JFBQUYN68eXJpq9V6896GXMKMyFkZyOr6EWd+TJAHwQFFTMT5rAzMinReLsyZq7CluB87X/0PfNHUB0hNKH3zP/CfF+/FlgfS4X5RMcNauBWvFNfgtdfeQ1WnBKnpc/z+1ffgOalqtLCmJKfjTnThqk2ZHjxaYZ7zOQH3HPu8OTZAAiQwmQS2bdsmN/fiiy+OOLbh6otznGMaEHMn7kgPA6CICaYhb8PdyFSvFuZUrP/9Tvxp9QX8jyVzkZq2BD/fn4xX9v0O65PVAXAXy+ZUrNv2B7yU8B6K5qchbcm/YWD1Osx3KTLmy/gleOKpaOx8ctE4ljIZ0yoLTJCAyeFwOCZYl9VIgAR0TqCnpwd//OMfIQbLw8PDdeOtVF2C9fe9g5V79+DZRZG68YuOeEdA/Q3hXWmWIgESCCgCQiy6u7v9KBrqU+jr8NsvLjvHPzqrsK/kfZTPL8aK2yICiieddRLgrCp+E0iABHxIQIxxPINd2/+Al55cijS5pWmYv/mfsLdkExYp4yY+dICmfUCAwuEDqDRJAiTgQsCciEWbt+OTzdtdPuTLQCbAW1WBnD36TgIkQAJ+IEDh8AN0NkkCJEACgUyAs6oCOXv0nQRIgAT8QIA9Dj9AZ5MkQAIkEMgEKByBnD36TgIkQAJ+IEDh8AN0NkkCk0ng1Vdfnczm2FYQEKBwBEGSGSIJkAAJaEmAwqElTdoiARIggSAgQOEIgiQzRBIgARLQkgCFQ0uatEUCJEACQUCAwhEESWaIJEACJKAlAT4AqCVN2iIBEiCBICDAHkcQJJkhkgAJkICWBCgcWtKkLRIgARIIAgIUjiBIMkMkARIgAS0JUDi0pElbJEACJBAEBCgcQZBkhkgCJEACWhKgcGhJk7ZIgARIIAgIUDiCIMkMkQRIgAS0JEDh0JImbZEACZBAEBCgcARBkhkiCZAACWhJgMKhJU3aIgESIIEgIEDhCIIkM0QSIAES0JIAhUNLmrRFAiRAAkFAgMIRBElmiCRAAiSgJYH/D61PRAwysgZJAAAAAElFTkSuQmCC"></p>
<p>drag correctly labelled and in correct direction</p>
<p>weight correctly labelled and in correct direction <em><strong>AND</strong></em> no other incorrect force shown</p>
<p> </p>
<p><em>Award <strong>[1 max]</strong> if forces do not touch the dot, but are otherwise OK.</em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>name Newton's first law</p>
<p>vertical/all forces are in equilibrium/balanced/add to zero<br><em><strong>OR</strong></em><br>vertical component of lift mentioned</p>
<p>as equal to weight</p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>any speed and any direction quoted together as the answer</p>
<p>quotes their answer(s) to 3 significant figures</p>
<p>speed = 12.7 m s<sup>–1</sup> <em><strong>or</strong></em> direction = 9.46<sup>º</sup> <em><strong>or</strong></em> 0.165 rad «below the horizontal» <em><strong>or </strong></em>gradient of \( - \frac{1}{6}\)</p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about kinematics.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the difference between average speed and instantaneous speed.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph shows how the acceleration <em>a</em> of a particle varies with time <em>t</em>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">At time <em>t</em> = 0 the instantaneous speed of the particle is zero.</p>
<p style="text-align: left;">(i) Calculate the instantaneous speed of the particle at <em>t</em> = 7.5 s.</p>
<p style="text-align: left;">(ii) Using the axes below, sketch a graph to show how the instantaneous speed <em>v</em> of the particle varies with <em>t</em>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p>average speed is the speed over a period of time/distance; instantaneous speed is the speed at a particular instant in time/point in space.</p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p>(i) speed=(area under graph =)½×7.5×3;<br>=10 <strong><em>or</em> </strong>11 <strong><em>or</em> </strong>11.3 (ms<sup>-1</sup>);</p>
<p>(ii) suitable curve approximating to <em>v</em>=<em>kt</em><sup>2</sup>;</p>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p>As in the previous question, candidates appeared to understand the distinction between average and instantaneous speeds but could not express a concise or (sometimes) meaningful account. Some good answers were seen that used calculus ideas but this was not required by the examiners.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p>(i) Candidates were required to recognize that the area under an acceleration–time graph yields the speed change of a particle. They were also expected to give a realistic number of significant figures in their answer. This trapped very many.</p>
<p>(ii) A very large majority of candidates were able to give a good sketch of a parabola for their answer. Failing answers included a straight line through the origin and a straight line parallel to the <em>x</em>-axis.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about mechanics and thermal physics. <strong>Part 2</strong> is about nuclear physics.</p>
<p><strong>Part 1</strong> Mechanics and thermal physics</p>
<p>The graph shows the variation with time <em>t</em> of the speed <em>v</em> of a ball of mass 0.50 kg, that has been released from rest above the Earth’s surface.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">The force of air resistance is <strong>not</strong> negligible. Assume that the acceleration of free fall is <em>g</em> = 9.81ms<sup>−2</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State, without any calculations, how the graph could be used to determine the distance fallen.</p>
<p style="text-align: left;"> </p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) In the space below, draw and label arrows to represent the forces on the ball at 2.0 s.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">(ii) Use the graph opposite to show that the acceleration of the ball at 2.0 s is approximately 4 ms<sup>−2</sup>.</p>
<p style="text-align: left;">(iii) Calculate the magnitude of the force of air resistance on the ball at 2.0 s.</p>
<p style="text-align: left;">(iv) State and explain whether the air resistance on the ball at <em>t</em> = 5.0 s is smaller than, equal to <strong>or</strong> greater than the air resistance at <em>t</em> = 2.0 s.</p>
<p style="text-align: left;"> </p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>After 10 s the ball has fallen 190 m.</p>
<p>(i) Show that the sum of the potential and kinetic energies of the ball has decreased by 780 J.</p>
<p>(ii) The specific heat capacity of the ball is 480 J kg<sup>−1</sup> K<sup>−1</sup>. Estimate the increase in the temperature of the ball.</p>
<p>(iii) State an assumption made in the estimate in (c)(ii).</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the area under the curve;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) arrows as shown, with up arrow shorter;</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) drawing of tangent to curve at <em>t</em> = 2.0 s;<br>calculation of slope of tangent in range 3.6 − 4.4ms<sup>−2</sup> ; <br><em>Award <strong>[0]</strong> for calculations without a tangent but do not be particular about size of triangle.</em></p>
<p>(iii) calculation of F = ma = 0.50 × 4 = 2N<br><em>R</em>(= <em>mg</em> −<em>ma</em> = 0.50×9.81− 0.50× 4) ≈ 3N;</p>
<p>(iv) the acceleration is decreasing;<br>and so <em>R</em> is greater;<br><em><strong>or</strong></em><br>air resistance forces increase with speed;<br>since speed at 5.0 s is greater so is resistance force;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) loss of potential energy is <em>mg</em>Δ<em>h</em>=0.50×9.81×190=932J;<br>gain in kinetic energy is \(\frac{1}{2}m{v^2} = \frac{1}{2}0.50 \times {25^2} = 156{\rm{J}}\);<br>loss of mechanical energy is 932–156;<br>≈780J</p>
<p>(ii) <em>mc</em>Δ<em>θ</em>=780J;<br>\(\Delta \theta = \left( {\frac{{780}}{{0.5 \times 480}}} \right) \approx 3{\rm{K}}/{3^ \circ }{\rm{C}}\);<br> <br>(iii) all the lost energy went into heating just the ball / no energy transferred to surroundings / the ball was heated uniformly;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about a collision. <strong>Part 2</strong> is about electric current and resistance.</p>
<p><strong>Part 1</strong> A collision</p>
<p>Two identical blocks of mass 0.17kg and length 0.050m are travelling towards each other along a straight line through their centres as shown below. Assume that the surface is frictionless.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The initial distance between the centres of the blocks is 0.900m and both blocks are moving at a speed of 0.18ms<sup>–1</sup> relative to the surface.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the time taken for the blocks to come into contact with each other.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>As a result of the collision, the blocks reverse their direction of motion and travel at the same speed as each other. During the collision, 20% of the kinetic energy of the blocks is given off as thermal energy to the surroundings.</p>
<p>(i) State and explain whether the collision is elastic or inelastic.</p>
<p>(ii) Show that the final speed of the blocks relative to the surface is 0.16 m s<sup>–1</sup>.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) State Newton’s third law of motion.</p>
<p>(ii) During the collision of the blocks, the magnitude of the force that block A exerts on block B is <em>F</em><sub>AB</sub> and the magnitude of the force that block B exerts on block A is <em>F</em><sub>BA</sub>. On the diagram below, draw labelled arrows to represent the magnitude and direction of the forces <em>F</em><sub>AB</sub> and <em>F</em><sub>BA</sub>.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(iii) The duration of the collision between the blocks is 0.070 s. Determine the average force one block exerted on the other.</p>
<div class="marks">[7]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>distance between surfaces of blocks=0.900-0.050=0.850m;<br>relative speed between blocks = 0.36ms<sup>–1</sup>;<br>\({\rm{time}} = \frac{{{\rm{distance}}}}{{{\rm{speed}}}} = \frac{{0.850}}{{0.36}} = 2.4{\rm{s}}\);</p>
<p><em><strong>or</strong></em></p>
<p>blocks moving at same speed so meet at mid-point;<br>distance travelled by block=0.450-0.025=0.425m;<br>\({\rm{time}} = \frac{{{\rm{distance}}}}{{{\rm{speed}}}} = \frac{{0.425}}{{0.18}} = 2.4{\rm{s}}\);</p>
<p><em>Award <strong>[3]</strong> for bald correct answer.</em><br><em>Award <strong>[2 max]</strong> if distance of 0.90 m or 0.45 m used to get 2.5 s.</em></p>
<p> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) the collision is inelastic;<br>because kinetic energy is not conserved (although momentum is);</p>
<p>(ii) initial \({E_K} = \frac{1}{2} \times 0.17 \times {0.18^2} = 0.002754{\rm{J}}\);<br>final \({E_K} = 0.80 \times 0.002754 = 0.0022032{\rm{J}}\);<br>final speed \( = \sqrt {\frac{{2 \times 0.0022032}}{{0.17}}} \);<br>=0.16ms<sup>-1</sup></p>
<p><em><strong>or</strong></em></p>
<p>0.8×initial <em>E</em><sub>K</sub>=final <em>E</em><sub>K</sub>;<br>\(0.8 \times \frac{1}{2} \times 0.17 \times {0.18^2} = \frac{1}{2} \times 0.17 \times {v^2}\);<br>\(v = \sqrt {0.8 \times {{0.18}^2}} \);<br>=0.16ms<sup>-1</sup></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) if object A exerts a force on object B, then object B (simultaneously) exerts an equal and opposite force on object A / every action has an equal and opposite reaction / <em>OWTTE</em>;</p>
<p>(ii) arrows of equal length; <em>(judge by eye)</em><br>acting through centre of blocks;<br>correct labelling consistent with correct direction;</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(iii) \(\Delta v = 0.16 - \left( { - 0.18} \right) = 0.34{\rm{m}}{{\rm{s}}^{ - 1}}\);<br>\(a = \frac{{\Delta v}}{{\Delta t}} = \frac{{0.34}}{{0.070}} = 4.857{\rm{m}}{{\rm{s}}^{ - 2}}\);<br>\(F = ma = 0.17 \times 4.857 = 0.83{\rm{N}}\);</p>
<p><em><strong>or</strong></em></p>
<p>\(\Delta v = 0.16 - \left( { - 0.18} \right) = 0.34{\rm{m}}{{\rm{s}}^{ - 1}}\);<br>\({\rm{impulse}} = F\Delta t = m\Delta v \Rightarrow F = \frac{{0.17 \times 0.34}}{{0.07}}\);<br><em>F</em>=0.83N;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the motion of a bicycle.</p>
<p>A cyclist is moving up a slope that is at an angle of 19° to the horizontal. The mass of the cyclist and the bicycle is 85 kg.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the</p>
<p>(i) component of the weight of the cyclist and bicycle parallel to the slope.</p>
<p>(ii) normal reaction force on the bicycle from the slope.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>At the bottom of the slope the cyclist has a speed of 5.5ms<sup>–1</sup>. The cyclist stops pedalling and applies the brakes which provide an additional decelerating force of 250 N. Determine the distance taken for the cyclist to stop. Assume air resistance is negligible and that there are no other frictional forces.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) (weight) = 85 × 9.81(=834N);<em> (if 850 (N) seen, award this mark)</em><br>component =(834×sin19=)271 (N);<br><em>Allow use of g=10ms<sup>–2</sup>. Answer is 277 (N).</em></p>
<p>(ii) component=(834×cos19=) 788 (N);<br><em>Allow use of g=10ms<sup> –2</sup>. Answer is 804 (N).</em><br><em>Allow a bald correct answer.</em><br><em>Do not award ECF if cos used in (a)(i) and sin used in (a)(ii).</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>total decelerating force =271+250(=521N);<br>acceleration \( = \left( - \right)\frac{{521}}{{85}}\left( { = - 6.13{\rm{m}}{{\rm{s}}^{ - 2}}} \right)\);<br>\(s = \frac{{{v^2} - {u^2}}}{{2a}}\);<br>2.47 (m);}<em> (signs must be consistent for this mark, ie: if acceleration assumed positive, look for negative distance)<br>Allow use of g=10. Answers are 527 N, 6.2ms<sup>–2</sup>, 2.44 m.</em></p>
<p><em><strong>or</strong></em></p>
<p>total decelerating force =271+250(=521N) ;<br>initial kinetic energy \( = \frac{1}{2}m{v^2} = 1290{\rm{ J}}\)<br>\({\rm{distance = }}\frac{{{\rm{energy lost}}}}{{{\rm{force}}}} = \frac{{1290}}{{521}}\)<br>2.47 (m);</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>electric field strength</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows a pair of horizontal metal plates. Electrons can be deflected vertically using an electric field between the plates.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) Label, on the diagram, the polarity of the metal plates which would cause an electron<br>positioned between the plates to accelerate upwards. </p>
<p>(ii) Draw the shape and direction of the electric field between the plates on the diagram.</p>
<p>(iii) Calculate the force on an electron between the plates when the electric field strength has a value of 2.5 × 10<sup>3</sup> NC<sup>–1</sup>.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows two isolated electrons, X and Y, initially at rest in a vacuum. The initial separation of the electrons is 5.0 mm. The electrons subsequently move apart in the directions shown.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p> </p>
<p>(i) Show that the initial electric force acting on each electron due to the other electron is approximately 9 × 10<sup>–24</sup>N.</p>
<p>(ii) Calculate the initial acceleration of one electron due to the force in (c)(i).</p>
<p>(iii) Discuss the motion of one electron after it begins to move.</p>
<p>(iv) The diagram shows Y as seen from X, at one instant. Y is moving into the plane of the paper. For this instant, draw on the diagram the shape and direction of the magnetic field produced by Y.</p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="marks">[8]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>force per unit charge;</p>
<p>on a positive test charge / on a positive small charge; </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) top plate positive and bottom negative (or +/- and ground);</p>
<p>(ii) <img src="data:image/png;base64,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" alt></p>
<p>uniform (by eye) line spacing and edge effect, field lines touching both plates; </p>
<p>downward arrows (minimum of one and none upward); </p>
<p>(iii) F=2.5×10<sup>3</sup>×1.6×10<sup>-19<br></sup>4.0×10<sup>-16</sup> (N);</p>
<p><em> Award <strong>[2]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) use of \(F = \frac{{{{\left( {1.60 \times {{10}^{ - 19}}} \right)}^2}}}{{4\pi {\varepsilon _0}{{\left( {5.0 \times {{10}^{ - 3}}} \right)}^2}}}\) <em><strong>or </strong></em>\(F = \frac{{{{\left( {1.60 \times {{10}^{ - 19}}} \right)}^2}}}{{{{\left( {5.0 \times {{10}^{ - 3}}} \right)}^2}}} \times 8.99 \times {10^9}\);</p>
<p>9.2×10<sup>-24</sup>(N); </p>
<p>(ii) 1.0×10<sup>7</sup> (ms<sup>-2</sup>) (9.9×10<sup>6</sup> (ms<sup>-2</sup>) if 9×10<sup>-24</sup> (N) used);</p>
<p>(iii) electron will continue to accelerate;<br>speed increases with acceleration;<br>acceleration reduces with separation;<br>when outside the field no further acceleration/constant speed;<br>any reference to accelerated charge radiating and losing (kinetic) energy; </p>
<p>(iv) minimum of two concentric circles centred on Y;<br>anti-clockwise;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) As this is worth two marks, candidates should see the signal that force per unit charge is unlikely to gain full marks; and so it proved. Although a mark was available for saying this there needed to be a reference to the charge being a positive test charge.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) G2 comments that the term ‘polarity’ was confusing to candidates proved to be unfounded and nearly all candidates marked in a positive and negative terminal – although the actual polarity was often incorrect.</p>
<p>(ii) With error carried forwards, the direction of the field was often correct but the drawing often was below an acceptable standard with line of force not bridging the plates, being very unevenly spaced and having no edge effect.</p>
<p>(iii) This calculation was almost invariably very well done.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) In another ‘show that’ question it was expected that candidates would use Coulombs law and the data value for the electronic charge to give a value of more than one digit; often this was not the case but otherwise this was generally well done <br> <br>(ii) Most candidates used their value for the force (or 9 x 10-24 N) and the mass of the electron on the data sheet to calculate a correct value for the acceleration. <br> <br>(iii) This was an unusual opportunity for candidates to use Newton’s laws and many did say that the acceleration would decrease with distance. Too often they incorrectly believed that this meant that the electron would slow down – it continues to accelerate but at an ever decreasing rate. <br> <br>(iv) Clearly, this part represented a simplification of a complex situation but as set up was not beyond the skills of most of the candidates. The electron represents an instant in which a conventional current would leave the page and the field at this instant would be that of concentric circles with an anti-clockwise (counter-clockwise) direction. Many candidates did draw this but diagrams were too frequently hurriedly drawn and of a poor standard.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about kinematics.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Fiona drops a stone from rest vertically down a water well. She hears the splash of the stone striking the water 1.6 s after the stone leaves her hand. Estimate the</p>
<p>(i) distance between Fiona’s hand and the water surface.</p>
<p>(ii) speed with which the stone hits the water.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>After the stone in (a) hits the water surface it rapidly reaches a terminal speed as it falls through the water. The stone leaves Fiona’s hand at time<em> t</em> = 0. It hits the water surface at<em> t<sub>1</sub></em> and it comes to rest at the bottom of the water at<em> t<sub>2</sub></em>. Using the axes below, sketch a graph to show how the speed <em>v</em> of the stone varies from time <em>t</em> = 0 to just before <em>t = t<sub>2</sub></em>. (There is no need to add any values to the axes.)</p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw and label a free-body diagram representing the forces acting on the stone as it falls through the water at its terminal speed.</p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) s=12.5/12.6 (m);<br><em>Allow g =10ms<sup>-2</sup> , answer is 12.8.</em></p>
<p><em>(ii) </em>\(v = \sqrt {2gs} \)<em> <strong>or</strong> gt; (allow any use of suvat equations)<br></em>\( = \left( {\sqrt {2 \times 9.8 \times 12.5} = } \right)15.7\left( {{\rm{m}}{{\rm{s}}^{ - 1}}} \right)\)<em>;<br>Award <strong>[2]</strong> for a bald correct answer. <br>Allow g = 10ms<sup>-2</sup> answer is 16.0 ms<sup>-1</sup>.<br>Allow ECF from (a)(i)</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img src="data:image/png;base64,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" alt></p>
<p>straight line to water surface; <em>(allow a slight curve within 10 % of t<sub>1</sub> )</em> clear decrease after hitting surface; (<em>allow straight line or concave curve as shown, do not allow convex curve</em>)</p>
<p>constant non-zero speed reached smaller than maximum; (<em>speed must be less than maximum velocity</em>)</p>
<p><em>Do not penalize answers where a curve is drawn to the dotted lines as there should not be a discontinuity at the two lines. Do not penalize if the line continues to t<sub>2</sub> or zero velocity shown at t<sub>2</sub>.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img src="data:image/png;base64,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" alt></p>
<p> </p>
<p>correctly labelled forces;</p>
<p>correct direction and equal lengths; <em>(judge by eye) </em></p>
<p><em>Accept co-linear/vector arrows that do not begin at the stone. </em></p>
<p><em>Accept arrow heads finalizing at the stone. </em></p>
<p><em>Treat mention of upthrust as neutral.</em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) and (ii) These were high scoring questions with a substantial number of correct solutions. Even those who could not answer (i) were able to take their incorrect value and use it correctly in (ii).</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>This part was not straightforward and demands some thought by candidates – ideally before they put pen to paper. A number of candidates achieved two marks. Common faults included: setting the final speed in the water at higher than the final speed in air; a significantly curved first section before<em> t<sub>1</sub>;</em> incorrect curvature between<em> t<sub>1</sub></em> and<em> t<sub>2</sub></em> and lack of a final constant speed or a zero final speed.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>This straightforward question was not well done. Many candidates did not draw two clear lines of appropriate length with a ruler – crude, free-hand sketches were very common. The question asks for labelling and this should be done with words, not symbols. Mention of up thrust was not required in the answer, although its inclusion was treated as neutral.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A student investigates how light can be used to measure the speed of a toy train.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>Light from a laser is incident on a double slit. The light from the slits is detected by a light sensor attached to the train.</p>
<p>The graph shows the variation with time of the output voltage from the light sensor as the train moves parallel to the slits. The output voltage is proportional to the intensity of light incident on the sensor.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, with reference to the light passing through the slits, why a series of voltage peaks occurs.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The slits are separated by 1.5 mm and the laser light has a wavelength of 6.3 x 10<sup>–7</sup> m. The slits are 5.0 m from the train track. Calculate the separation between two adjacent positions of the train when the output voltage is at a maximum.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the speed of the train.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In another experiment the student replaces the light sensor with a sound sensor. The train travels away from a loudspeaker that is emitting sound waves of constant amplitude and frequency towards a reflecting barrier.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>The sound sensor gives a graph of the variation of output voltage with time along the track that is similar in shape to the graph shown in the resource. Explain how this effect arises.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>«light» superposes/interferes</p>
<p>pattern consists of «intensity» maxima and minima<br><em><strong>OR</strong></em><br>consisting of constructive and destructive «interference»</p>
<p>voltage peaks correspond to interference maxima</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«\(s = \frac{{\lambda D}}{d} = \frac{{6.3 \times {{10}^{ - 7}} \times 5.0}}{{1.5 \times {{10}^{ - 3}}}} = \)» 2.1 x 10<sup>–3 </sup>«m» </p>
<p> </p>
<p><em>If no unit assume m.</em><br><em>Correct answer only.</em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>correct read-off from graph of 25 m s</p>
<p><em>v</em> = «\(\frac{x}{t} = \frac{{2.1 \times {{10}^{ - 3}}}}{{25 \times {{10}^{ - 3}}}} = \)» 8.4 x 10<sup>–2</sup> «m s<sup>–1</sup>»</p>
<p> </p>
<p><em>Allow ECF from (b)(i)</em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong>ALTERNATIVE 1</strong></em></p>
<p>«reflection at barrier» leads to two waves travelling in opposite directions</p>
<p>mention of formation of standing wave</p>
<p>maximum corresponds to antinode/maximum displacement «of air molecules»<br><em><strong>OR</strong></em><br>complete cancellation at node position</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A company designs a spring system for loading ice blocks onto a truck. The ice block is placed in a holder H in front of the spring and an electric motor compresses the spring by pushing H to the left. When the spring is released the ice block is accelerated towards a<br>ramp ABC. When the spring is fully decompressed, the ice block loses contact with the spring at A. The mass of the ice block is 55 kg.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p>Assume that the surface of the ramp is frictionless and that the masses of the spring and the holder are negligible compared to the mass of the ice block.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) The block arrives at C with a speed of 0.90ms<sup>−1</sup>. Show that the elastic energy stored in the spring is 670J.</p>
<p>(ii) Calculate the speed of the block at A.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the motion of the block</p>
<p>(i) from A to B with reference to Newton's first law.</p>
<p>(ii) from B to C with reference to Newton's second law.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the axes, sketch a graph to show how the displacement of the block varies with time from A to C. (You do not have to put numbers on the axes.)</p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The spring decompression takes 0.42s. Determine the average force that the spring exerts on the block.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The electric motor is connected to a source of potential difference 120V and draws a current of 6.8A. The motor takes 1.5s to compress the spring.</p>
<p>Estimate the efficiency of the motor.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i)<br>\(\ll {E_{{\rm{el}}}}{\rm{ = }}\gg \frac{1}{2}m{v^{\rm{2}}} + mgh\)<br><em><strong>OR</strong></em><br>«<em>E</em><sub>el</sub>=»<em>E</em><sub>P</sub>+<em>E</em><sub>K</sub></p>
<p>\(\ll {E_{{\rm{el}}}}{\rm{ = }}\gg \frac{1}{2} \times {\rm{55}} \times {\rm{0.9}}{{\rm{0}}^{\rm{2}}}{\rm{ + 55}} \times {\rm{9.8}} \times {\rm{1.2}}\)</p>
<p><em><strong>OR</strong></em><br>669 J <br>«<em>E</em><sub>el</sub> = 669 ≈ 670J»</p>
<p><em>Award <strong>[1 max]</strong> for use of g=10Nkg<sup>–1</sup>, gives 682 J.</em></p>
<p>(ii)<br>\(\frac{1}{2} \times {\rm{55}} \times {v^{\rm{2}}} = 670{\rm{J}}\)</p>
<p>\(v = \ll \sqrt {\frac{{2 \times 670}}{{55}} = } \gg 4.9{\rm{m}}{{\rm{s}}^{ - 1}}\)</p>
<p><em>If 682J used, answer is 5.0ms<sup>–1</sup>.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i)<br>no force/friction on the block, hence constant motion/velocity/speed</p>
<div class="page" title="Page 4">
<div class="section">
<div class="layoutArea">
<div class="column">
<p>(ii)<br>force acts on block <em><strong>OR</strong></em> gravity/component of weight pulls down slope</p>
<p>velocity/speed decreases <em><strong>OR</strong></em> it is slowing down <em><strong>OR</strong></em> it decelerates</p>
<div class="page" title="Page 4">
<div class="section">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 4">
<div class="section">
<div class="layoutArea">
<div class="column">
<p><em>Do not allow a bald statement of “N2” or “F = ma” for MP1.</em><br><em>Treat references to energy as neutral.</em></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 5">
<div class="section">
<div class="layoutArea">
<div class="column">
<p>straight line through origin for at least one-third of the total length of time axis <strong>covered by candidate line</strong></p>
<div class="page" title="Page 5">
<div class="section">
<div class="layoutArea">
<div class="column">
<p>followed by curve with decreasing positive gradient</p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="page" title="Page 5">
<div class="section">
<div class="layoutArea">
<div class="column">
<p><em>Ignore any attempt to include motion before A.</em></p>
</div>
</div>
<div class="layoutArea">
<div class="column">
<p><em>Gradient of curve must always be less than that of straight line.</em></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(F\ll = \frac{{\Delta p}}{{\Delta t}}\gg = \frac{{55 \times 4.9}}{{0.42}}\)</p>
<p><em>F</em>=642≈640N</p>
<p><em>Allow ECF from (a)(ii).</em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 5">
<div class="section">
<div class="layoutArea">
<div class="column">
<p>«energy supplied by motor =» 120 × 6.8 × 1.5 <em><strong>or</strong></em> 1224 J <br><em><strong>OR</strong></em><br> <strong>«</strong>power supplied by motor =<strong>»</strong> 120 × 6.8 <em><strong>or</strong></em> 816 W<br> e = 0.55 <em><strong>or</strong></em> 0.547 or 55% <em><strong>or</strong></em> 54.7%</p>
<div class="page" title="Page 5">
<div class="section">
<div class="layoutArea">
<div class="column">
<p><em>Allow ECF from earlier results.</em></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<div class="page" title="Page 22">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 22">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is in </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">two </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">parts. </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">Part 1 </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">is about power and efficiency. </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">Part 2 </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">is about electrical resistance. </span></p>
</div>
</div>
</div>
<p><strong>Part 1</strong> Power and efficiency</p>
<p>A bus is travelling at a constant speed of 6.2 m s<sup>–1</sup> along a section of road that is inclined at an angle of 6.0<span class="_Tgc">°</span> to the horizontal.<img src="data:image/png;base64,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" alt></p>
</div>
</div>
</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 15">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 16">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 17">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 21">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 22">
<div class="layoutArea">
<div class="column">
<p>(i) The bus is represented by the black dot shown below. Draw a labelled sketch to represent the forces acting on the bus.<em><br></em></p>
<p><em><img src="data:image/png;base64,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" alt></em></p>
<div class="page" title="Page 22">
<div class="layoutArea">
<div class="column">
<p>(ii) State the value of the rate of change of momentum of the bus.</p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 15">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 16">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 17">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 21">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 22">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 23">
<div class="layoutArea">
<div class="column">The total output power of the engine of the bus is 70kW and the efficiency of the engine is 35%. Calculate the input power to the engine.</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 15">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 16">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 17">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 21">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 22">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 23">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 23">
<div class="layoutArea">
<div class="column">The mass of the bus is 8.5×10<sup>3</sup> kg. Determine the rate of increase of gravitational potential energy of the bus.</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 15">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 16">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 17">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 21">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 22">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 23">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 23">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 23">
<div class="layoutArea">
<div class="column">Using your answer to (c) and the data in (b), estimate the magnitude of the resistive forces acting on the bus.</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 15">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 16">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 17">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 21">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 22">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 23">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 23">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 23">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 24">
<div class="layoutArea">
<div class="column">
<p>The engine of the bus suddenly stops working.</p>
<p>(i) Determine the magnitude of the net force opposing the motion of the bus at the instant at which the engine stops.</p>
<div class="page" title="Page 24">
<div class="layoutArea">
<div class="column">(ii) Discuss, with reference to the air resistance, the change in the net force as the bus slows down.</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<p>(i)</p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<p> identification of normal reaction/<em>N</em> and weight/<em>W</em>;<br> identification of friction and driving force;<br> correct directions of all four forces;<br> correct relative lengths; { (<em>friction ≅ driving force and N ≅ W but N must not be longer than W) (judge by eye)</em></p>
<p>(ii) zero;</p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<p>input power =\(\frac{{{\rm{output power}}}}{{{\rm{efficiency}}}} = \frac{{70}}{{0.35}}\);<br>= 200 kW;<em> <br></em>Award <em><strong>[2]</strong> for a bald correct answer.</em></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<p>height gained in 1s=(6.2 sin 6=) 0.648(m);<br>rate of change of PE=8.5×10<sup>3</sup>×9.81×0.648; <br>=5.4×10<sup>4</sup>W;</p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<p>power used to overcome friction=(7×10<sup>4</sup>−5.4×10<sup>4</sup>=)1.6×10<sup>4</sup>(W); {(<em>allow ECF from (c))<br></em>\(F = \left( {\frac{p}{v} = } \right)\frac{{1.6 \times {{10}^4}}}{{6.2}}\);<br>=2.6kN;</p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 4">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<p>(i) component of weight down slope = 8.5×10<sup>3</sup>×9.81 sin 6;<br>net force=2.6×10<sup>3</sup>+8.5×10<sup>3</sup>×9.81 sin 6<br>=11kN;<br><em>Watch for ECF from (d). </em></p>
</div>
<div class="column">
<p>(ii) air resistance decreases as speed drops;<br>so net force decreases;</p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 16">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 18">
<div class="layoutArea">
<div class="column">(i) Diagrams were poorly presented and ill-thought. 4 marks were assigned to this and candidates should have given much more care to it. Marks were given for appropriate descriptions, directions and lengths of the vectors. In particular, candidates should recognize that the term “acceleration” will not do for a driving force, and that “normal” simply implies “at 90°”. The essential point about the upwards force from the surface is that it is a reaction force.
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">(ii) About half the candidates realized that the momentum change was zero as the velocity was constant.</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 16">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 18">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">The efficiency calculation was well done by many.</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 16">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 18">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">This question produced a mixed response varying from excellent fully-explained solutions to incoherent attempts with an incompetent inclusion of components or attempts that focussed on the change in the kinetic energy.</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 16">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 18">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">Many recognized that the way to estimate the forces was to access the net rate of change of energy and divide this by the speed, but there were two hurdles here: a determination of the correct net power and the correct speed. Very many failed at one or both of these and thus failed to provide a correct answer.</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 16">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 18">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 19">
<div class="layoutArea">
<div class="column"> </div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about forces.</p>
<p>A stone block is pulled at constant speed up an incline by a cable attached to an electric motor.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The incline makes an angle of 12 ° with the horizontal. The weight of the block is 1.5×10<sup>4</sup>N and the tension <em>T</em> in the cable is 4.2×10<sup>3</sup>N.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram draw and label arrows that represent the forces acting on the block.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the magnitude of the friction force acting on the block.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><img src="data:image/png;base64,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" alt></p>
<p>(normal) reaction/<em>N/R</em> and weight/force of gravity/gravity force/gravitational force/<em>mg/w/W</em> with correct directions;<br>friction/frictional force/<em>F/F</em><sub>f</sub> with arrow pointing down ramp along surface of ramp;<br><em>Do not allow “gravity” as label. Do not allow “drag” as label for friction.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>recognize that friction=<em>T-W </em>sin <em>θ</em>;<br><em>W </em>sin <em>θ</em>=3.1×10<sup>3</sup>N;<br>friction=1.1×10<sup>3</sup>N;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in two parts. <strong>Part 1</strong> is about forces. <strong>Part 2</strong> is about internal energy.</p>
<p><strong>Part 1</strong> Forces</p>
<p>A railway engine is travelling along a horizontal track at a constant velocity.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram above, draw labelled arrows to represent the vertical forces that act on the railway engine.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, with reference to Newton’s laws of motion, why the velocity of the railway engine is constant.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The constant horizontal velocity of the railway engine is 16 ms<sup>–1</sup>. A total horizontal resistive force of 76 kN acts on the railway engine.</p>
<p>Calculate the useful power output of the railway engine.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The power driving the railway engine is switched off. The railway engine stops, from its speed of 16 ms<sup>–1</sup>, without braking in a distance of 1.1 km. A student hypothesizes that the horizontal resistive force is constant.</p>
<p>Based on this hypothesis, calculate the mass of the railway engine.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Another hypothesis is that the horizontal force in (c) consists of two components. One component is a constant frictional force of 19 kN. The other component is a resistive force <em>F</em> that varies with speed <em>v</em> where <em>F</em> is proportional t o <em>v</em><sup>3</sup>.</p>
<p>(i) State the value of the magnitude of <em>F</em> when the railway engine is travelling at 16 ms<sup>–1</sup>.</p>
<p>(ii) Determine the <strong>total</strong> horizontal resistive force when the railway engine is travelling at 8.0 ms<sup>–1</sup>.</p>
<div class="marks">[5]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On its journey, the railway engine now travels around a curved track at constant speed. Explain whether or not the railway engine is accelerating.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><img src="data:image/png;base64,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" alt></p>
<p><em>The shaded box shows the acceptable range of position for W/mg.</em><br>single downward arrow labelled <em>W</em>/weight <em><strong>or</strong></em> <em>mg</em>/gravity force; <em>(do not allow gravity)</em><br>two upward arrows labelled reaction/contact forces; <em>(do not allow for only </em><em>one arrow seen)</em><br>arrow positions as shown in diagram;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>horizontal forces have resultant of zero; <em>(must describe or imply horizontal force)</em><br>valid statement linked to theory (<em>e.g.</em> Newton 1/Newton 2/conservation of momentum)<br>explaining why zero force results in constant velocity/zero acceleration;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>power =16×76000;<br>1.2 MW;</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>acceleration\( = \frac{{{{16}^2}}}{{2 \times 1100}}\left( { = 0.116} \right)\);<br>\(m = \left( {\frac{{7.6 \times {{10}^4}}}{{0.116}} = } \right)6.5 \times {10^5}{\rm{kg}}\);<br><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<p><em><strong>or</strong></em></p>
<p>use of <em>Fs</em>=\(\frac{1}{2}m{v^2}\);<br>\(m = \left( {\frac{{2 \times 7.6 \times {{10}^4} \times 1100}}{{{{16}^2}}} = } \right)6.5 \times {10^5}{\rm{kg}}\);<br><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) 57 kN;</p>
<p>(ii) \({F_8} = \frac{{{F_{16}}}}{{{2^3}}}\);<br><em>F</em><sub>8</sub>=7.1(kN);<br>total force =19+7.1(kN);<br>=26 kN;<br><em>Award <strong>[4]</strong> for a bald correct answer.</em></p>
<p><em><strong>or</strong></em></p>
<p>\(k = \left( {\frac{{57 \times {{10}^3}}}{{{{16}^3}}}} \right) = 13.91\);<br><em>F</em><sub>8</sub>=(13.91×8<sup>3</sup>)=7.1(kN);<br>total force=19+7.1(kN);<br>=26 kN;<br><em>Award<strong> [4]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>direction of engine is constantly changing;<br>velocity is speed + direction / velocity is a vector;<br>engine is accelerating as velocity is changing;<br><em>Award <strong>[0]</strong> for a bald correct answer.</em></p>
<p><em><strong>or</strong></em></p>
<p>centripetal force required to maintain circular motion;<br>quotes Newton 1/Newton 2;<br>so engine is accelerating as a force acts;<br><em>Award <strong>[0]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>Impulse and momentum</p>
<p>The diagram shows an arrangement used to test golf club heads.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p> </p>
<p>The shaft of a club is pivoted and the centre of mass of the club head is raised by a height <em>h</em> before being released. On reaching the vertical position the club head strikes the ball.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Describe the energy changes that take place in the club head from the instant the club is released until the club head and the ball separate.</p>
<p>(ii) Calculate the maximum speed of the club head achievable when<em> h</em> = 0.85 m.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows the deformation of a golf ball and club head as they collide during a test.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Explain how increasing the deformation of the club head may be expected to increase the speed at which the ball leaves the club.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In a different experimental arrangement, the club head is in contact with the ball for a time of 220 μs. The club head has mass 0.17 kg and the ball has mass 0.045 kg. At the moment of contact the ball is at rest and the club head is moving with a speed of 38 ms<sup>–1</sup>. The ball moves off with an initial speed of 63 ms<sup>–1</sup>.</p>
<p><br>(i) Calculate the average force acting on the ball while the club head is in contact with the ball.</p>
<p>(ii) State the average force acting on the club head while it is in contact with the ball.</p>
<p>(iii) Calculate the speed of the club head at the instant that it loses contact with the ball.</p>
<div class="marks">[5]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) (gravitational) potential energy (of club head) goes to kinetic energy (of club head);</p>
<p>some kinetic energy of club head goes to internal energy of club head/kinetic energy of ball; </p>
<p>(ii) equating <em>mgh</em> to \(\frac{1}{2}\)<em>mv<sup>2</sup></em> ; </p>
<p><em>v</em>=4.1(ms<sup>-1</sup>);</p>
<p><em>Award <strong>[0]</strong> for answers using equation of motion – not uniform acceleration. </em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>deformation prolongs the contact time;</p>
<p>increased impulse => bigger change of momentum/velocity; <br> <strong>or</strong> <br> (club head) stores (elastic) potential energy on compression;</p>
<p>this energy is passed to the ball;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) any value of \(\frac{{{\rm{mass}} \times {\rm{velocity}}}}{{{\rm{time}}}}\);</p>
<p>1.3 x 10<sup>4</sup> (N);<br><br>(ii)-1.3 x 10<sup>-4</sup> (N);</p>
<p><em>Accept statement that force is in the opposite direction to (c)(i). </em></p>
<p><em>Allow the negative of any value given in (c)(i).</em> <br> <br> (iii) clear use of conservation of momentum / impulse = change of momentum;</p>
<p>21(ms<sup>-1</sup> ); <br> <br><strong> or</strong> <br> <br><em>a</em>=\(\left( {\frac{{\rm{F}}}{{\rm{m}}} = \frac{{ - 13000}}{{0.17}} = } \right)\left( - \right)76500\left( {{\rm{m}}{{\rm{s}}^{ - 1}}} \right)\);<br><em>v=(u+at</em>=38-76500 x 0.00022=) 21(ms<sup>-1</sup>);</p>
<p><em>Award <strong>[2]</strong> for a bald correct answer. </em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) Nearly all candidates gained a mark for recognising the change from kinetic to potential energy in this part. Fewer recognised that the club head would not transfer all of its energy to the ball and therefore retained a significant amount of energy. </p>
<p>(ii) This part was well done by many.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p> A minority of candidates became bogged down by the deformation of the ball and club head idea and ventured into elastic potential energy ideas. This had a successful outcome in many cases when there was discussion of the compression providing further kinetic energy to the ball on recovering its shape. The most straightforward solution was to use to principle of impulse being equal to the change in momentum (as shown in the question heading) and simply to recognise that an increased contact time would be expected to give a greater change of momentum for a constant force.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) This was well done with the only real problem being deciding which was the speed change of the ball. </p>
<p>(ii) Less candidates than anticipated recognised that the force on the club head was equal and opposite to that acting on the ball (applying Newton’s third law of motion).</p>
<p>(iii) Most made a good attempt at calculating the speed of the club head.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in two parts. <strong>Part 1</strong> is about momentum. <strong>Part 2</strong> is about electric point charges.</p>
<p><strong>Part 1</strong> Momentum</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Electric point charges</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the law of conservation of linear momentum.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A toy car crashes into a wall and rebounds at right angles to the wall, as shown in the plan view.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The graph shows the variation with time of the force acting on the car due to the wall during the collision.</p>
<p><img src="data:image/png;base64,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" alt>The kinetic energy of the car is unchanged after the collision. The mass of the car is 0.80 kg.</p>
<p>(i) Determine the initial momentum of the car.</p>
<p>(ii) Estimate the average acceleration of the car before it rebounds.</p>
<p>(iii) On the axes, draw a graph to show how the momentum of the car varies during the impact. You are not required to give values on the y-axis.</p>
<h4><img src="data:image/png;base64,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" alt></h4>
<div class="marks">[9]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two identical toy cars, A and B are dropped from the same height onto a solid floor without rebounding. Car A is unprotected whilst car B is in a box with protective packaging around the toy. Explain why car B is less likely to be damaged when dropped.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>electric field strength</em> at a point in an electric field.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Six point charges of equal magnitude <em>Q</em> are held at the corners of a hexagon with the signs of the charges as shown. Each side of the hexagon has a length <em>a</em>.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>P is at the centre of the hexagon.</p>
<p>(i) Show, using Coulomb’s law, that the magnitude of the electric field strength at point P due to <strong>one</strong> of the point charges is</p>
<p>\[\frac{{kQ}}{{{a^2}}}\]</p>
<p>(ii) On the diagram, draw arrows to represent the direction of the field at P due to point charge A (label this direction A) and point charge B (label this direction B).</p>
<p>(iii) The magnitude of <em>Q</em> is 3.2 μC and length <em>a</em> is 0.15 m. Determine the magnitude and the direction of the electric field strength at point P due to all six charges.</p>
<div class="marks">[8]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>total momentum does not change/is constant; } <em>(do not allow “momentum is conserved”)</em><br>provided external force is zero / no external forces / isolated system;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) clear attempt to calculate area under graph;<br>initial momentum is half change in momentum;<br>\(\left( {\frac{1}{2} \times \frac{1}{2} \times 24 \times 0.16} \right) = 0.96\left( {{\rm{kgm}}{{\rm{s}}^{ - 1}}} \right)\)<br><em>Award <strong>[2 max]</strong> for calculation of total change (1.92kg ms<sup>–1</sup>)</em></p>
<p>(ii) initial speed \( = \left( {\frac{{0.96}}{{0.8}} = } \right)1.2{\rm{m}}{{\rm{s}}^{ - 1}}\);<br>\(a = \frac{{1.2 - \left( { - 1.2} \right)}}{{0.16}}\) <em><strong>or </strong></em>\(a = \frac{{ - 1.2 - 1.2}}{{0.16}}\);<br>–15(ms<sup>–2</sup>); <em>(must see negative sign or a comment that this is a deceleration)</em></p>
<p><em><strong>or</strong></em><br>average force =12 N;<br>uses <em>F</em>=0.8×a ;<br>–15(ms<sup>–2</sup>); <em>(must see negative sign or a comment that this is a deceleration)</em><br><em>Award <strong>[3]</strong> for a bald correct answer.</em><br><em>Other solution methods involving different kinematic equations are possible.</em></p>
<p>(iii) goes through <em>t</em>=0.08s <strong>and</strong> from negative momentum to positive / positive momentum to negative;<br>constant sign of gradient throughout;<br>curve as shown;<br><em>Award marks for diagram as shown.</em></p>
<p><em><img src="data:image/png;base64,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" alt width="813" height="263"></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>impulse is the same/similar in both cases / momentum change is same;<br>impulse is force × time / force is rate of change of momentum;<br>time to come to rest is longer for car B;<br>force experienced by car B is less (so less likely to be damaged);</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>electric force per unit charge;<br>acting on a small/point positive (test) charge;</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) states Coulomb’s law as \(\frac{{kQq}}{{{r^2}}}\) <em><strong>or </strong></em>\(\frac{F}{q} = \frac{{kQ}}{{{r^2}}}\)<br>states explicitly q=1;<br>states r=a;</p>
<p>(ii) <img src="data:image/png;base64,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" alt></p>
<p>arrow labelled A pointing to lower right charge;<br>arrow labelled B point to lower left charge;<br><em>Arrows can be anywhere on diagram.</em></p>
<p>(iii) overall force is due to +Q top left and -Q bottom right / top right and bottom left and centre charges all cancel; } <em>(can be seen on diagram)<br></em>force is therefore \(\frac{{2kQ}}{{{a^2}}}\);</p>
<p>2.6×106 (N C<sup>-1</sup>) ;<br>towards bottom right charge; <em>(allow clear arrow on diagram showing direction)</em></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about two children on a merry-go-round. <strong>Part 2</strong> is about electric circuits.</p>
<p><strong>Part 1</strong> Two children on a merry-go-round</p>
<p>Aibhe and Euan are sitting on opposite sides of a merry-go-round, which is rotating at constant speed around a fixed centre. The diagram below shows the view from above.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Aibhe is moving at speed 1.0ms<sup>–1</sup> relative to the ground.</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Orbital motion</p>
<p>A spaceship of mass <em>m</em> is moving at speed <em>v</em> in a circular orbit of radius <em>r</em> around a planet of mass <em>M</em>.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the magnitude of the velocity of Aibhe relative to</p>
<p>(i) Euan.</p>
<p>(ii) the centre of the merry-go-round.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Outline why Aibhe is accelerating even though she is moving at constant speed.</p>
<p>(ii) Draw an arrow on the diagram on page 22 to show the direction in which Aibhe is accelerating.</p>
<p>(iii) Identify the force that is causing Aibhe to move in a circle.</p>
<p>(iv) The diagram below shows a side view of Aibhe and Euan on the merry-go-round.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Explain why Aibhe feels as if her upper body is being “thrown outwards”, away from the centre of the merry-go-round.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Euan is rotating on a merry-go-round and drags his foot along the ground to act as a brake. The merry-go-round comes to a stop after 4.0 rotations. The radius of the merry-go-round is 1.5 m. The average frictional force between his foot and the ground is 45 N. Calculate the work done.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Aibhe moves so that she is sitting at a distance of 0.75 m from the centre of the merry-go-round, as shown below.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Euan pushes the merry-go-round so that he is again moving at 1.0 ms<sup>–1</sup> relative to the ground.</p>
<p>(i) Determine Aibhe’s speed relative to the ground.</p>
<p>(ii) Calculate the magnitude of Aibhe’s acceleration.</p>
<div class="marks">[5]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define the <em>electric resistance</em> of a wire.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the following data, calculate the length of constantan wire required to make a resistor with a resistance of 6.0Ω.</p>
<p style="padding-left: 30px;">Resistivity of constantan = 5.0×10<sup>–7</sup>Ωm<br>Average radius of wire = 2.5×10<sup>–5</sup>m</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Three resistors, each of resistance 6.0Ω, are arranged in the circuit shown below. The cell has an emf of 12V and negligible internal resistance.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Determine the total power supplied by the cell.</p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The same resistors and cell are now re-arranged into a different circuit, as shown below.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Explain why the total power supplied by the cell is greater than for the circuit in (g).</p>
<div class="marks">[3]</div>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<div title="Page 7">
<div>
<div>
<div title="Page 7">
<div>(i) 2.0 <em><strong>or</strong></em> 0(ms<sup>-1</sup>); <br>(ii) 1.0 <em><strong>or</strong></em> 0(ms<sup>-1</sup>);</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div title="Page 7">
<div>
<div>
<div title="Page 7">
<div>(i) her direction is changing;<br>hence her velocity is changing;<br><em><strong>or</strong></em><br>since her direction/velocity is changing;<br>a <span style="text-decoration: underline;">resultant/unbalanced/net</span> force must be acting on her (hence she is accelerating);</div>
<div> </div>
<div>(ii) arrow from Aibhe towards centre of merry-go-round;<br><em>Ignore length of arrow.</em></div>
<div> </div>
<div>(iii) the force of the merry-go-round on <span style="text-decoration: underline;">Aibhe</span>/<span style="text-decoration: underline;">her</span>;</div>
<div> </div>
<div>(iv) no force is acting on the upper body towards the centre of the circle / no centripetal force acting on the upper body (to maintain circular motion);<br>upper body (initially) continues to move in a straight line at constant speed/ velocity is tangential to circle;</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div title="Page 7">
<div>
<div>distance travelled by Euan=\(4.0 \times 2\pi \times 1.5\left( { = 37.70{\rm{m}}} \right)\);<br>\(W\left( { = {F_{av}}d = 45 \times 37.70} \right) = 1700\left( {\rm{J}} \right)\);</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div title="Page 7">
<div>
<div>
<div title="Page 7">(i) Aibhe’s period of revolution is the same as before;<br>from \(v = \frac{{2\pi r}}{T}\), since<em> r</em> is halved, <em>v</em> is halved;<br><em>v</em>=0.5(ms<sup>-1</sup>);<br><em>Award <strong>[3]</strong> for a bald correct answer.</em></div>
<div title="Page 7"> </div>
<div title="Page 7">(ii) \(a\left( { = \frac{{{v^{\rm{2}}}}}{r}} \right) = \frac{{{{0.5}^2}}}{{0.75}}\);<br>a=0.33(ms<sup>-2</sup>);<br><em>Allow ECF from (d)(i).</em><br><em>Award <strong>[2]</strong> for a bald correct answer.</em></div>
</div>
</div>
</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div title="Page 7">
<div>
<div>\(\frac{{{\rm{potential difference across the wire}}}}{{{\rm{current through the wire}}}}\);<br><em>Accept equation with symbols defined. Accept p.d. Do not accept voltage.</em></div>
</div>
</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div title="Page 7">
<div>
<div>\(A = \left( {\pi {r^{\rm{2}}} = } \right)\pi \times {\left[ {2.5 \times {{10}^{ - 5}}} \right]^2}\left( { = 1.963 \times {{10}^{ - 9}}} \right)\);<br>\(l = \left( {\frac{{RA}}{\rho } = } \right)\frac{{6.0 \times 1.963 \times {{10}^{ - 9}}}}{{5.0 \times {{10}^{ - 7}}}}\);<br>=2.4×10<sup>-2</sup>(m)<em>;<br>Award <strong>[3]</strong> for a bald correct answer.</em></div>
</div>
</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div title="Page 7">
<div>
<div>
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">resistance of two resistors in parallel </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">= </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">3.0(<span style="font-size: 12.000000pt; font-family: 'SymbolMT';">Ω</span>), s</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">o total resistance </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">= </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">6.0 </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">+ </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">3.0 </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">= </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">9.0(</span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">Ω</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">);<br>\(I = \left( {\frac{V}{R} = } \right)\frac{{12}}{{9.0}}\left( { = 1.333} \right)\left( {\rm{A}} \right)\);<br>\(P = \left( {VI = 12 \times 1.333 = } \right)16\left( {\rm{W}} \right)\);<br> </span></p>
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold; font-style: italic;">or </span></p>
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">resistance of two resistors in parallel </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">= <span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">3.0(Ω), s</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">o total resistance </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">= </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">6.0 </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">+ </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">3.0 </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">= </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">9.0(</span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">Ω</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">);<br>\(P = \left( {\frac{{{V^{\rm{2}}}}}{R} = } \right)\frac{{144}}{{9.0}}\);<br></span></span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-style: italic;">P </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">16 (W); </span></p>
<p><span style="font-size: 12.000000pt; font-family: 'SymbolMT';"><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';"> </span></span></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div title="Page 7">
<div>
<div>
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">total resistance is smaller (</span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">4.0</span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">Ω</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">);<br></span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">p.d./voltage is the same so current is greater (</span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">3.0A);<br> since </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-style: italic;">P</span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-style: italic;">VI </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold; font-style: italic;">or </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-style: italic;">P</span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-style: italic;">I</span><span style="font-size: 7.000000pt; font-family: 'TimesNewRomanPSMT'; vertical-align: 5.000000pt;">2</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-style: italic;">R</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">,power is greater (</span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">36W);</span></p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold; font-style: italic;">or </span></p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">total resistance is smaller (</span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">= </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">4.0</span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">Ω</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">);</span> <span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">p.d./voltage is the same;<br></span>since <em>P</em>=\(\frac{{{V^{\rm{2}}}}}{R}\), power is greater (=36W);</p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-style: italic;">Award </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold; font-style: italic;">[1] </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-style: italic;">for a bald calculation of 36 (W). The marks are for an explanation. </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 21">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">Most were able to identify the relative speeds. The markscheme was amended to also include answers in terms of velocity. </span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 21">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">i) This was well-answered with most identifying a change in direction and a change in velocity. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">ii) The majority were able to show the direction of the centripetal acceleration. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">iii) Few identified a force that would act on Aibhe. They did not realize that the centripetal force is the resultant of the forces acting.</span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">iv) Few realized from the diagram that it would be difficult provide an inward directed force on </span><span style="font-size: 10.000000pt; font-family: 'Arial';">Aibhe’s upper torso</span><span style="font-size: 10.000000pt; font-family: 'Arial';">. The consequence of this is that it would tend to continue to move in a direction which is tangential to the circle. </span></p>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 21">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">This was well done by many. </span></p>
</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 21">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">i) Many scored three marks here. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">ii) Most candidates were able to gain both marks. </span></p>
</div>
</div>
</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 22">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">The definition of resistance was poorly attempted with many describing some difficulty that a current has in travelling down a wire. </span></p>
</div>
</div>
</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 22">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">This calculation was generally well done although it was disappointing to see a significant proportion of candidates who did not know the formula for the area of a circle. </span></p>
</div>
</div>
</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 22">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">Most were able to calculate the equivalent resistance of the combination of resistors and progress successfully to find the power supplied by the cell. </span></p>
</div>
</div>
</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 22">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">Many recalculated the po</span><span style="font-size: 10.000000pt; font-family: 'Arial';">wer but didn’t provide an explanation and so consequently </span><span style="font-size: 10.000000pt; font-family: 'Arial';">only scored one mark. Explanations were often detailed enough to score full marks. </span></p>
</div>
</div>
</div>
<div class="question_part_label">h.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about kinematics and gravitation. <strong>Part 2</strong> is about radioactivity.</p>
<p><strong>Part 1</strong> Kinematics and gravitation</p>
<p>A ball is released near the surface of the Moon at time <em>t</em>=0. The point of release is on a straight line between the centre of Earth and the centre of the Moon. The graph below shows the variation with time <em>t</em> of the displacement s of the ball from the point of release.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Radioactivity</p>
<p>Two isotopes of calcium are calcium-40 \(\left( {\frac{{40}}{{20}}{\rm{Ca}}} \right)\) and calcium-47 \(\left( {\frac{{47}}{{20}}{\rm{Ca}}} \right)\). Calcium-40 is stable and calcium-47 is radioactive with a half-life of 4.5 days.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the significance of the negative values of <em>s</em>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use the graph to</p>
<p>(i) estimate the velocity of the ball at <em>t</em> \( = \) 0.80 s.</p>
<p>(ii) calculate a value for the acceleration of free fall close to the surface of the Moon.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The following data are available.</p>
<p style="padding-left: 30px;">Mass of the ball <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 0.20 kg</p>
<p style="padding-left: 30px;">Mean radius of the Moon <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 1.74 \( \times \) 10<sup>6</sup> m</p>
<p style="padding-left: 30px;">Mean orbital radius of the Moon about the centre of Earth <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 3.84 \( \times \) 10<sup>8</sup> m</p>
<p style="padding-left: 30px;">Mass of Earth <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 5.97 \( \times \) 10<sup>24</sup> kg</p>
<p>Show that Earth has no significant effect on the acceleration of the ball.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the speed of an identical ball when it falls 3.0 m from rest close to the surface of Earth. Ignore air resistance.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Sketch, on the graph, the variation with time<em> t</em> of the displacement<em> s</em> from the point of release of the ball when the ball is dropped close to the surface of Earth. (For this sketch take the direction towards the Earth as being negative.)</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, in terms of the number of nucleons and the forces between them, why calcium-40 is stable and calcium-47 is radioactive.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the percentage of a sample of calcium-47 that decays in 27 days.</p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The nuclear equation for the decay of calcium-47 into scandium-47 \(\left( {{}_{21}^{47}{\rm{Sc}}} \right)\) is given by</p>
<p>\[{}_{20}^{47}{\rm{Ca}} \to {}_{21}^{47}{\rm{Sc + }}{}_{ - 1}^0{\rm{e + X}}\]</p>
<p>(i) Identify X.</p>
<p>(ii) The following data are available.</p>
<p style="padding-left: 30px;">Mass of calcium-47 nucleus <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 46.95455 u<br>Mass of scandium-47 nucleus <span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span> 46.95241 u</p>
<p>Using the data, determine the maximum kinetic energy, in MeV, of the products in the decay of calcium-47.</p>
<p>(iii) State why the kinetic energy will be less than your value in (h)(ii).</p>
<div class="marks">[4]</div>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>upwards (or away from the Moon) is taken as positive / downwards (or towards the Moon) is taken as negative / towards the Earth is positive;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">(i) tangent drawn to curve at 0.80s;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">correct calculation of gradient of tangent drawn;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">−</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">1.3 </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">±</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">0.1m s</span><span style="font-size: 7.000000pt; font-family: 'ArialMT'; vertical-align: 4.000000pt;">–1 </span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-weight: bold; font-style: italic;">or </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">1.3 </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">±</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">0.1m s</span><span style="font-size: 7.000000pt; font-family: 'ArialMT'; vertical-align: 4.000000pt;">–1 </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">downwards;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial'; font-weight: bold; font-style: italic;">or </span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT'; color: rgb(20.000000%, 20.000000%, 20.000000%);">correct coordinates used from the graph; substitution into a correct equation;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">−</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">1.3 </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">±</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">0.1m s</span><span style="font-size: 7.000000pt; font-family: 'ArialMT'; vertical-align: 4.000000pt;">–1 </span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-weight: bold; font-style: italic;">or </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">1.3 </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">±</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">0.1m s</span><span style="font-size: 7.000000pt; font-family: 'ArialMT'; vertical-align: 4.000000pt;">–1 </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">downwards; </span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">(ii) any correct method used;</span></p>
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">correct reading from graph;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">1.6 to 1.7 m s</span><span style="font-size: 7.000000pt; font-family: 'ArialMT'; vertical-align: 4.000000pt;">–2</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">; </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">values for masses, distance and correct G substituted into Newton’s law;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">see subtraction (</span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-style: italic;">ie r </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">value </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">= </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">3.84 </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">× </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">10</span><span style="font-size: 7.000000pt; font-family: 'ArialMT'; vertical-align: 4.000000pt;">8 </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">− </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">1.74 </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">× </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">10</span><span style="font-size: 7.000000pt; font-family: 'ArialMT'; vertical-align: 4.000000pt;">6 </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">3.82 </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">× </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">10</span><span style="font-size: 7.000000pt; font-family: 'ArialMT'; vertical-align: 4.000000pt;">8 </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">m);</span></p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-style: italic;">F</span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">5.4 to 5.5 </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">× </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">10</span><span style="font-size: 7.000000pt; font-family: 'ArialMT'; vertical-align: 4.000000pt;">–4 </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">N / </span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-style: italic;">a</span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">2.7 </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">× </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">10</span><span style="font-size: 7.000000pt; font-family: 'ArialMT'; vertical-align: 4.000000pt;">–3 </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">m s</span><span style="font-size: 7.000000pt; font-family: 'ArialMT'; vertical-align: 4.000000pt;">–2</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">comment that it’s insignificant compared with (0.2 </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">× </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">1.63 </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">) 0.32 to 0.33 N / 1.63 m s</span><span style="font-size: 7.000000pt; font-family: 'ArialMT'; vertical-align: 4.000000pt;">–2</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">; </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>7.7 m s\(^{ - 1}\);</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>curve permanently below Moon curve;</p>
<p>smooth parabola; <span style="font-size: 11.000000pt; font-family: 'Arial'; font-style: italic;">(judge by eye)</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">line passing through s </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">= </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">−</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">3.00 m, t </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">= </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">0.78 s </span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-weight: bold; font-style: italic;">or </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">s </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">= </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">−</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">3.50 m, t </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">= </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">0.84 s (</span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">±</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">1mm); </span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';"><img src="data:image/png;base64,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" alt></span></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">Ca-40 has 20 protons and 20 neutrons, Ca-47 has 20 protons and 27 neutrons / Ca-47 has 7 additional neutrons;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">mention of strong/nuclear </span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-weight: bold;">and </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">coulomb/electrostatic/electromagnetic forces;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">excess neutrons/too high a neutron-to-proton ration leads to the coulomb/electrostatic’ electromagnetic force being greater than the strong/nuclear force (so the nucleus is unstable); </span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial'; font-style: italic; color: rgb(20.000000%, 20.000000%, 20.000000%);">Award </span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-weight: bold; font-style: italic; color: rgb(20.000000%, 20.000000%, 20.000000%);">[1 max] </span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-style: italic; color: rgb(20.000000%, 20.000000%, 20.000000%);">for an answer stating that Ca-47 has more neutrons so is bigger and less stable. </span></p>
</div>
</div>
</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">six half-lives occurred;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">\(\left( {{{\left( {\frac{1}{2}} \right)}^6} = } \right)1.6\% \) remaining;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">98.4 / 98% decayed; </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">(i)(electron) anti-neutrino / </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-style: italic;">\(\overline v \) </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">; </span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">(ii) 46.95455 u </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">− </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">(46.95241 u </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">+ </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">0.00055 u) </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">= </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">0.00159 u;</span></p>
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 10">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">1.48 MeV; </span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">(iii) does not account for energy of (anti) neutrino/gamma ray photons; </span></p>
</div>
</div>
</div>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';"> </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">h.</div>
</div>
<br><hr><br>