File "markSceme-SL-paper1.html"

Path: /IB QUESTIONBANKS/5 Fifth Edition - PAPER/HTML/Physics/Option A HTML/markSceme-SL-paper1html
File size: 19.4 KB
MIME-type: text/html
Charset: utf-8

 
Open Back 
<!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-02ef852527079acf252dc4c9b2922c93db8fde2b6bff7c3c7f657634ae024ff1.css">
<link rel="stylesheet" media="print" href="css/print-6da094505524acaa25ea39a4dd5d6130a436fc43336c0bb89199951b860e98e9.css">
<script src="js/application-9717ccaf4d6f9e8b66ebc0e8784b3061d3f70414d8c920e3eeab2c58fdb8b7c9.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>
<!-- - if current_user.is_language_services? && !current_user.is_publishing? -->
<!-- %li= link_to "Language services", tolk_path -->
</ul>
<ul class="nav pull-right">
<li class="dropdown">
<a class="dropdown-toggle" data-toggle="dropdown" href="#">
Help
<b class="caret"></b>
</a>
<ul class="dropdown-menu">
<li><a href="https://questionbank.ibo.org/video_tour?locale=en">Video tour</a></li>
<li><a href="https://questionbank.ibo.org/instructions?locale=en">Detailed instructions</a></li>
<li><a target="_blank" href="https://ibanswers.ibo.org/">IB Answers</a></li>
</ul>
</li>
<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 class="pull-right screen_only"><a class="btn btn-small btn-info" href="https://questionbank.ibo.org/updates?locale=en">Updates to Questionbank</a></div>
<p class="muted language_chooser">
User interface language:
<a href="https://questionbank.ibo.org/en/users/set_user_locale?new_locale=en">English</a>
|
<a href="https://questionbank.ibo.org/en/users/set_user_locale?new_locale=es">Español</a>
</p>
</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="https://mirror.ibdocs.top/qb.png" alt="Ib qb 46 logo">
</div>
</div>
</div>
<h2>SL Paper 1</h2><div class="specification">
<p>A spaceship is travelling at <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>80</mn><mi>c</mi></math>, away from Earth. It launches a probe away from Earth, at <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>50</mn><mi>c</mi></math> relative to the spaceship. An observer on the probe measures the length of the probe to be <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn><mo>.</mo><mn>0</mn><mo> </mo><mi mathvariant="normal">m</mi></math>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An object of mass <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo> </mo><mi>kg</mi></math> is thrown downwards from a height of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn><mo> </mo><mi mathvariant="normal">m</mi></math>. The initial speed of the object is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo> </mo><mi mathvariant="normal">m</mi><mo> </mo><msup><mi mathvariant="normal">s</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup></math>.<br>The object hits the ground at a speed of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>20</mn><mo> </mo><mi mathvariant="normal">m</mi><mo> </mo><msup><mi mathvariant="normal">s</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup></math>. Assume <math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">g</mi><mo>=</mo><mn>10</mn><mo> </mo><mi mathvariant="normal">m</mi><mo> </mo><msup><mi mathvariant="normal">s</mi><mrow><mo>-</mo><mn>2</mn></mrow></msup></math>. What is the best estimate of the energy transferred from the object to the air as it falls?</p>
<p>A.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo> </mo><mi mathvariant="normal">J</mi></math></p>
<p>B.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn><mo> </mo><mi mathvariant="normal">J</mi></math></p>
<p>C.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>182</mn><mo> </mo><mi mathvariant="normal">J</mi></math></p>
<p>D.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>200</mn><mo> </mo><mi mathvariant="normal">J</mi></math></p>
<div class="marks">[1]</div>
<div class="question_part_label">.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the speed of the probe in terms of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math>, relative to Earth.</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>B</p>
<div class="question_part_label">.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="fontstyle0"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u</mi><mo>=</mo><mfrac><mrow><mn>0</mn><mo>.</mo><mn>5</mn><mi>c</mi><mo>+</mo><mn>0</mn><mo>.</mo><mn>8</mn><mi>c</mi></mrow><mrow><mn>1</mn><mo>+</mo><mstyle displaystyle="true"><mfrac><mrow><mn>0</mn><mo>.</mo><mn>5</mn><mi>c</mi><mo>×</mo><mn>0</mn><mo>.</mo><mn>8</mn><mi>c</mi></mrow><msup><mi>c</mi><mn mathvariant="italic">2</mn></msup></mfrac></mstyle></mrow></mfrac></math> ✓</span></p>
<p><span class="fontstyle0"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>93</mn><mi mathvariant="normal">c</mi></math> ✓</span></p>
<p><em><span class="fontstyle0">Allow </span><span class="fontstyle2"><strong>all</strong> </span><span class="fontstyle0">negative signs for velocities<br></span></em></p>
<p><em><span class="fontstyle0">Award </span><strong><span class="fontstyle2">[2] </span></strong><span class="fontstyle0">marks for a bald correct answer</span></em></p>
<p> </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">.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br>