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</div><h2>HL Paper 2</h2><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about electric fields and radioactive decay. <strong>Part 2 </strong>is about waves.</p>
<p class="p1"><strong>Part 1 </strong>Electric fields and radioactive decay</p>
<p class="p1">An ionization chamber is a device which can be used to detect charged particles.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-29_om_17.26.23.png" alt="N15/4/PHYSI/HP2/ENG/TZ0/06"></p>
<p class="p1">The charged particles enter the chamber through a thin window. They then ionize the air between the parallel metal plates. A high potential difference across the plates creates an electric field that causes the ions to move towards the plates. Charge now flows around the circuit and a current is detected by the sensitive ammeter.</p>
</div>
<div class="specification">
<p class="p1">The separation of the plates <em>d </em>is 12 mm and the potential difference \(V\) between the plates is 5.2 kV. An ionized air molecule M with charge \( + 2e\) is produced when a charged particle collides with an air molecule.</p>
</div>
<div class="specification">
<p class="p1">Radium-226 \({\text{(}}_{\;{\text{88}}}^{{\text{226}}}{\text{Ra)}}\) decays into an isotope of radon (Rn) by the emission of an alpha particle and a gamma-ray photon. The alpha particle may be detected using the ionization chamber but the gamma-ray photon is unlikely to be detected.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">On the diagram, draw the shape of the electric field between the plates.</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 electric field strength between the plates.</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 class="p1">Calculate the force on M.</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 class="p1">Determine the change in the electric potential energy of M as it moves from the positive to the negative plate.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Construct the nuclear equation for the decay of radium-226.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-29_om_18.04.47.png" alt="N15/4/PHYSI/HP2/ENG/TZ0/06.c.ii"></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">Radium-226 has a half-life of 1600 years. Determine the time, in years, it takes for the activity of radium-226 to fall to 5% of its original activity.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.iii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">minimum of three lines equally spaced and distributed, <span class="s1">perpendicular to the plates and downwards; </span>edge effect shown; } <em>(condone lines that do not touch plates)</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(4.3 \times {10^5}{\text{ (N}}{{\text{C}}^{ - 1}}{\text{)}}\)</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\((F = Eq = ){\text{ }}4.3 \times {10^5} \times 2 \times 1.6 \times {10^{ - 19}}\); <em>(allow ECF from (b)(i))</em></p>
<p class="p1">\(1.4 \times {10^{ - 13}}{\text{ (N)}}\);</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">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\Delta {E_{\text{P}}} = q\Delta V\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)\(3.2 \times {10^{ - 19}} \times 5.2 \times {10^3}\);</p>
<p class="p1">\(1.7 \times {10^{ - 15}}{\text{ (J)}}\);</p>
<p class="p1">negative/loss;</p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\left( {_{\;88}^{226}{\text{Ra}} \to _{\;86}^{222}{\text{Rn}} + _2^4{\text{He}} + _0^0\gamma } \right)\)</p>
<p>\(_{\;86}^{222}{\text{Rn}}\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)\(_2^4{\text{He}}\);</p>
<p>numbers balance top and bottom on right-hand side;</p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\lambda = \frac{{\ln 2}}{{1600}} = 4.33 \times {10^{ - 4}}{\text{ (y}}{{\text{r}}^{ - 1}}{\text{)}}\);</p>
<p>\(0.05 = {{\text{e}}^{ - \lambda t}}\);</p>
<p class="p1">6900 (years);</p>
<p class="p1"><em>Award </em><strong><em>[3] </em></strong><em>for a bald correct answer.</em></p>
<p class="p1"><em>Award </em><strong><em>[2 max] </em></strong><em>for 2.18 </em>\( \times \)<em> 10<sup>11</sup> (s).</em></p>
<p class="p1"><em>Award </em><strong><em>[1 max] </em></strong><em>to a candidate who identifies time as about 4.3 half-lives but cannot get further or gives an approximate reasoned answer.</em></p>
<p class="p1"><em>However award </em><strong><em>[3] </em></strong><em>if number n of half-lives is calculated from 0.05 = 2<sup>–n</sup> (= 4.32 usually from use of log<sub>2</sub></em> <em>working) and time shown.</em></p>
<div class="question_part_label">c.iii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Field patterns were often negligently drawn. Lines did not meet both plates, edge effects were ignored, and the (vital) equality of spacing between drawn lines was not considered. Candidates continue to show their inadequacy in responding to questions that demand a careful and accurate diagram.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This sequence of calculations was often undertaken well with appropriate figures carried through from part to part.</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This sequence of calculations was often undertaken well with appropriate figures carried through from part to part.</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This sequence of calculations was often undertaken well with appropriate figures carried through from part to part. The only common error was the omission of a consideration of the gain or loss of the energy change in part (iii).</p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">As one of the easiest questions on the paper this was predictably well done.</p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">In the past candidates have found calculation involving exponential change difficult. On this occasion, however examiners saw a large number of correct and well explained solutions from candidates.</p>
<div class="question_part_label">c.iii.</div>
</div>
<br><hr><br><div class="specification">
<div class="page" title="Page 35">
<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 gravitational force fields. </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 properties of a gas. </span></p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">Part 1 </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">Gravitational force fields </span></p>
</div>
</div>
</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State Newton’s universal law of gravitation.</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 satellite of mass <em>m</em> orbits a planet of mass<em> M</em>. Derive the following relationship between the period of the satellite <em>T</em> and the radius of its orbit <em>R</em> (Kepler’s third law).</p>
<p style="text-align: center;">\({T^2} = \frac{{4{\pi ^2}{R^3}}}{{GM}}\)</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 style="text-align: left;">A polar orbiting satellite has an orbit which passes above both of the Earth’s poles. One polar orbiting satellite used for Earth observation has an orbital period of 6.00 × 10<sup>3</sup>s.<br> Mass of Earth = 5.97 × 10<sup>24 </sup>kg<br> Average radius of Earth = 6.37 × 10<sup>6 </sup>m</p>
<p style="text-align: left;">(i) Using the relationship in (b), show that the average height above the surface of the Earth for this satellite is about 800 km.</p>
<p style="text-align: left;">(ii) The satellite moves from an orbit of radius 1200 km above the Earth to one of radius 2500 km. The mass of the satellite is 45 kg.</p>
<p style="text-align: left;">Calculate the change in the gravitational potential energy of the satellite.</p>
<p style="text-align: left;">(iii) Explain whether the gravitational potential energy has increased, decreased or stayed the same when the orbit changes, as in (c)(ii).</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>the (attractive) force between two (point) masses is directly proportional to the product of the masses;<br>and inversely proportional to the square of the distance (between their centres of mass); <br><em>Use of equation is acceptable:</em><br><em>Award<strong> [2]</strong> if all five quantities defined. Award <strong>[1]</strong> if four quantities defined.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(G\frac{{Mm}}{{{R^2}}} = \frac{{m{v^2}}}{R}\) so \({v^2} = \frac{{Gm}}{R}\);<br>\(v = \frac{{2\pi R}}{T}\);<br>\({v^2} = \frac{{4{\pi ^2}{R^2}}}{{{T^2}}} = \frac{{Gm}}{R}\);</p>
<p><strong>or</strong></p>
<p>\(G\frac{{Mm}}{{{R^2}}} = m{\omega ^2}R\)<em>;<br></em>\({\omega ^2} = \frac{{4{\pi ^2}}}{{{T^2}}}\);<br>\(\frac{{4{\pi ^2}}}{{{T^2}}} = \frac{{GM}}{{{R^3}}}\);<br><em>Award <strong>[3]</strong> to a clear response with a missing step.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \({R^3} = \frac{{6.67 \times {{10}^{ - 11}} \times 5.97 \times {{10}^{24}} \times {{6000}^2}}}{{4 \times {\pi ^2}}}\);<br><em>R</em>=7.13x10<sup>6</sup>(m);<br><em>h</em>=(7.13x10<sup>6</sup>-6.37x10<sup>6</sup>)=760(km);<br><em>Award <strong>[3]</strong> for an answer of 740 with π taken as 3.14.</em></p>
<p>(ii) clear use of \(\Delta V = \frac{{\Delta E}}{m}\) and \(V = - \frac{{Gm}}{r}\) <strong>or</strong> \(\Delta E = GMm\left( {\frac{1}{{{r_1}}} - \frac{1}{{{r_2}}}} \right)\);<br>one value of potential energy calculated (2.37×10<sup>9</sup> <em><strong>or</strong></em> 2.02×10<sup>9</sup> );<br>3.5×10<sup>8</sup> (J);<br><em>Award <strong>[3]</strong> for a bald correct answer.</em><br><em>Award <strong>[2]</strong> for 7.7x10<sup>9</sup>. Award <strong>[1]</strong> for 7.7x10<sup>12</sup>.</em><br><em>Award <strong>[0] </strong>for answers using mgΔh.</em></p>
<p>(iii) increased;<br>further from Earth / closer to infinity / smaller negative value;<br><em>Award<strong> [0]</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>(a) Many candidates stated that the Newton’s law force is proportional to the masses of the objects in question, rather than the product of the masses.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>This part was generally well done with most candidates coming to the correct outcome; too often steps were missed out in the derivations and this cost candidates mark. It is essential that they realise that a derivation must include every step. The presentation of this part left much to be desired in quite a large minority with mathematically incorrect statements being given.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) Most candidates were able to substitute values into the equation and rearrange it to find a value for R. Many then fail to subtract the radius of the Earth.</p>
<p>(ii) Very few candidates completed this part correctly. Confusion between potential and potential energy was common as were adding the height in kilometres to the radius of the Earth in metres. A sizeable minority of candidates attempted to use the mgh equation.</p>
<p>(iii) This part was quite well answered with most candidates realising that the increase in height meant an increase in potential energy. Several argued that the magnitude decreased but being a negative quantity this meant an increase.</p>
<div class="question_part_label">c.</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 use of renewable energy sources. <strong>Part 2 </strong>is about the gravitational potential of the Earth.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Gravitational potential of the Earth</p>
</div>
<div class="specification">
<p class="p1">A satellite of mass 780 kg is put into circular orbit \(4.0 \times {10^3}{\text{ km}}\) above the surface of the Earth. It is then moved to a higher orbit \(3.2 \times {10^4}{\text{ km}}\) above the surface.</p>
<p class="p1">Calculate, for the satellite as it is moved from the lower orbit to the higher orbit, the change in</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The table gives the gravitational potential <em>V </em>for various distances <em>r </em>from the <strong>surface</strong> of Earth. The radius of Earth is \(6.4 \times {10^3}{\text{ km}}\).</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-07_om_10.36.50.png" alt="M14/4/PHYSI/HP2/ENG/TZ2/06.d"></p>
<p class="p1">Show that the data are consistent with Earth acting as a point mass with its mass concentrated at its centre.</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 class="p1">(i) the gravitational potential energy.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>kinetic energy</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>total energy.</p>
<div class="marks">[7]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">recognize that \(V \times \) a distance is constant / \(\frac{{{V_1}}}{{{V_2}}} = \frac{{{R_2}}}{{{R_1}}}{\text{ (}} = 1.625)\);</p>
<p class="p1">use of \({R_E} + r\);</p>
<p class="p1">evaluates at least two data points \(4.0 \times {10^{14}}\); } <em>(allow </em>\(V \times R\)<em> to be expressed in any consistent unit)</em></p>
<p class="p1"><em>Award </em><strong><em>[2 max] </em></strong><em>if answer fails to use radius of Earth but infers wrong conclusion from correct evaluation of two or more data points.</em></p>
<p class="p1"><em>Award </em><strong><em>[3 max] </em></strong><em>if answer evaluates mass of Earth and shows that it is the same for two or more data points.</em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) change in gravitational potential \( = ( + )28{\text{ }}({\text{MJ}}\,{\text{k}}{{\text{g}}^{ - 1}})\);</p>
<p>change in gravitational potential energy \( = (28 \times {10^6} \times 780 = ){\text{ }}2.2 \times {10^{10}}{\text{ (J)}}\);</p>
<p><em>Award </em><strong><em>[2] </em></strong><em>for a bald correct answer.</em></p>
<p>(ii) (change in) \(\frac{1}{2}m{v^2} = \) (change in) \(\frac{{GMm}}{2}{\text{ }}\left( { = - {\text{change in }}\frac{{mV}}{2}} \right)\);</p>
<p>\(( - )1.1 \times {10^{10}}{\text{ (J)}}\);</p>
<p><em>Award </em><strong><em>[2] </em></strong><em>for a bald correct answer.</em></p>
<p>(iii) change in kinetic energy \( = - 1.1 \times {10^{10}}{\text{ (J)}}\); <em>(recognition that KE is lost)</em></p>
<p>change in gravitational potential energy \( = + 2.2 \times {10^{10}}{\text{ (J)}}\); } <em>recognition that gpe is gained)</em></p>
<p>\(( + )1.1 \times {10^{10}}{\text{ (J)}}\); <em>(direction of change required for this mark)</em></p>
<p><em>Award </em><strong><em>[1 max] </em></strong><em>for a bald correct answer with sign.</em></p>
<p><em>Award </em><strong><em>[0] </em></strong><em>for a bald correct answer with no sign.</em></p>
<p><strong><em>or</em></strong></p>
<p>change in total energy = change in potential energy + change in kinetic energy;</p>
<p>adds (e)(i) to (e)(ii); <em>(allow ECF in value and sign)</em></p>
<p>\(( + )1.1 \times {10^{10}}{\text{ (J)}}\); <em>(do not allow negative answer)</em></p>
<p><em>Accept correct answer only without ECF for this approach.</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;">
<p class="p1">This was a simple test to establish whether candidates could check the consistency of data. Most could not. The obvious solution (to evaluate <em>Vr</em> twice having first incorporated the radius of the Earth) was rare. Many candidates preferred to calculate the mass of the earth twice and check that the values obtained were similar. In principle this could have scored full marks but three marks were only rarely seen by examiners.</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) It is quite clear that candidates do not understand the relationship between gravitational potential and gravitational potential energy. A consideration of units could have led them in the correct direction. Many could only tackle this by carrying out a full solution from the gravitational potential equation printed in the data booklet.</p>
<p class="p1">(ii) Similarly candidates were unable to use the known change in gravitational potential energy to establish the change in kinetic energy. Most felt that they had to calculate the kinetic energies from first principles and usually obtained the wrong answer.</p>
<p class="p1">(iii) Most candidates did not continue from (i) and (ii) to this part question; it was either left blank or an attempt was made at a statement of conservation of energy. This was another case where knowledge of a principle does not necessarily mean that a candidate can operate it effectively. Even the most able candidates seemed to struggle with this standard piece of bookwork.</p>
<div class="question_part_label">e.</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 collisions. <strong>Part 2 </strong>is about the gravitational field of Mars.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1 </strong>Collisions</p>
</div>
<div class="specification">
<p class="p1">The experiment is repeated with the clay block placed at the edge of the table so that it is fired away from the table. The initial speed of the clay block is \({\text{4.3 m}}\,{{\text{s}}^{ - 1}}\) horizontally. The table surface is 0.85 m above the ground.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_13.36.24.png" alt="N10/4/PHYSI/HP2/ENG/TZ0/B4.Part1.c"></p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Gravitational field of Mars</p>
</div>
<div class="specification">
<p class="p1">The graph shows the variation with distance \(r\) from the centre of Mars of the gravitational potential \(V\). \(R\) is the radius of Mars which is 3.3 Mm. (Values of \(V\) for \(r < R\) are not shown.)</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_13.42.05.png" alt="N10/4/PHYSI/HP2/ENG/TZ0/B4.Part2.b"></p>
<p class="p1">A rocket of mass \(1.2 \times {10^4}{\text{ kg}}\) lifts off from the surface of Mars. Use the graph to</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Ignoring air resistance, calculate the horizontal distance travelled by the clay block before it strikes the ground.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>The diagram in (c) shows the path of the clay block neglecting air resistance. On the diagram, draw the approximate shape of the path that the clay block will take assuming that air resistance acts on the clay block.</p>
<div class="marks">[7]</div>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define <em>gravitational potential energy </em>of a mass at a point.</p>
<div class="marks">[1]</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>calculate the change in gravitational potential energy of the rocket at a distance 4<em>R </em>from the centre of Mars.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>show that the magnitude of the gravitational field strength at a distance 4<em>R </em>from the centre of Mars is \({\text{0.23 N}}\,{\text{k}}{{\text{g}}^{ - 1}}\).</p>
<div class="marks">[5]</div>
<div class="question_part_label">Part2.b.</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>use of kinematic equation to yield time;</p>
<p class="p1">\(t = \sqrt {\frac{{2s}}{g}} {\text{ (}} = 0.42{\text{ s)}}\);</p>
<p class="p1">\(s = {\text{horizontal speed\( \times \)time}}\);</p>
<p class="p1">\( = 1.8{\text{ m}}\);</p>
<p class="p1"><em>Accept g = 10 m</em>\(\,\)<em>s\(^{ - 2}\)</em> <em>equivalent answers 1.79 from 9.8, 1.77 from 10.</em></p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>initial drawn velocity horizontal; <em>(judge by eye)</em></p>
<p class="p1">reasonable shape; <em>(i.e. quasi-parabolic)</em></p>
<p class="p1">horizontal distance moved always decreasing when compared to given path / range less than original;</p>
<p class="p1"><img src="images/Schermafbeelding_2016-11-09_om_16.33.08.png" alt="N10/4/PHYSI/HP2/ENG/TZ0/B4.Part1.c.ii/M"></p>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">work done in moving mass from infinity to a point;</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>read offs \( - 12.6\) and \( - 3.2\);</p>
<p class="p1">gain in \({\text{gpe }}1.2 \times {10^4} \times [12.6 - 3.2]\) <strong><em>or </em></strong>gain in g potential \(\left[ {12.6 \times {{10}^6} - 3.2 \times {{10}^6}} \right]\);</p>
<p class="p1">\( = 1.13 \pm 0.05 \times {10^5}{\text{ MJ}}\) <strong><em>or</em></strong> \(1.13 \pm 0.05 \times {10^{11}}{\text{ J}}\);</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>use of gradient of graph to determine \(g\);</p>
<p class="p1">values substituted from drawn gradient \(\left( {{\text{typically }}\frac{{6.7 \times {{10}^6}}}{{7 \times 3.3 \times {{10}^6}}}} \right)\);</p>
<p class="p1">\( = 0.23{\text{ N}}\,{\text{k}}{{\text{g}}^{ - 1}}\) <em>(allow answers in the range of 0.20 to 0.26 N</em>\(\,\)<em>kg–1)</em></p>
<p class="p1"><em>Award </em><strong><em>[0] </em></strong><em>for solutions from </em>\(\frac{V}{r}\)<em>.</em></p>
<div class="question_part_label">Part2.b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) Candidates were required to determine the time taken to fall to the floor and then use this time to evaluate the distance travelled horizontally. Many managed this with more or less success.</p>
<p class="p1">(ii) Many candidates produced poor attempts at the sketch. Initial trajectories were not horizontal and the general shapes of the curves were usually not quasi-parabolic.</p>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Some candidates gave a definition of gravitational potential, i.e. they related the energy to that of a unit mass.</p>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Throughout this part candidates were instructed to use the graph, those who used other non-graphical methods were penalised.</p>
<p class="p2">(i) There were many good evaluations with complete and well presented solutions.</p>
<p class="p2">(ii) Use of the Data Booklet equation for gravitational field strength without reference to the graph was common.</p>
<div class="question_part_label">Part2.b.</div>
</div>
<br><hr><br><div class="specification">
<p>The gravitational potential due to the Sun at its surface is –1.9 x 10<sup>11</sup> J kg<sup>–1</sup>. The following data are available.</p>
<table style="width: 441.4px; margin-left: 120px;">
<tbody>
<tr>
<td style="width: 422px;">Mass of Earth</td>
<td style="width: 558.4px;">= 6.0 x 10<sup>24</sup> kg</td>
</tr>
<tr>
<td style="width: 422px;">Distance from Earth to Sun</td>
<td style="width: 558.4px;">= 1.5 x 10<sup>11</sup> m</td>
</tr>
<tr>
<td style="width: 422px;">Radius of Sun</td>
<td style="width: 558.4px;">= 7.0 x 10<sup>8</sup> m</td>
</tr>
</tbody>
</table>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why the gravitational potential is negative.</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 gravitational potential due to the Sun at a distance <em>r</em> from its centre is <em>V</em><sub>S</sub>. Show that</p>
<p style="text-align: center;"><em>rV</em><sub>S</sub> = constant.</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>Calculate the gravitational potential energy of the Earth in its orbit around the Sun. Give your answer to an appropriate number of significant figures.</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 total energy of the Earth in its orbit.</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>An asteroid strikes the Earth and causes the orbital speed of the Earth to suddenly decrease. Suggest the ways in which the orbit of the Earth will change.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iv.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline, in terms of the force acting on it, why the Earth remains in a circular orbit around the Sun.</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>potential is defined to be zero at infinity</p>
<p>so a positive amount of work needs to be supplied for a mass to reach infinity</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>V</em><sub>S</sub> = \( - \frac{{GM}}{r}\) so <em>r</em> x <em>V</em><sub>S</sub> «= –<em>GM</em>» = constant because<em> G</em> and<em> M</em> are constants</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>GM</em> = 1.33 x 10<sup>20</sup> «J m kg<sup>–1</sup>»</p>
<p>GPE at Earth orbit «= –\(\frac{{1.33 \times {{10}^{20}} \times 6.0 \times {{10}^{24}}}}{{1.5 \times {{10}^{11}}}}\)» = «–» 5.3 x 10<sup>33</sup> «J»</p>
<p> </p>
<p><em>Award <strong>[1 max]</strong> unless answer is to 2 sf.</em></p>
<p><em>Ignore addition of Sun radius to radius of Earth orbit.</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>work leading to statement that kinetic energy \(\frac{{GMm}}{{2r}}\), <em><strong>AND</strong></em> kinetic energy evaluated to be «+» 2.7 x 10<sup>33</sup> «J»</p>
<p>energy «= PE + KE = answer to (b)(ii) + 2.7 x 10<sup>33</sup>» = «–» 2.7 x 10<sup>33</sup> «J»</p>
<p> </p>
<p><em><strong>ALTERNATIVE 2</strong></em><br>statement that kinetic energy is \( = - \frac{1}{2}\) gravitational potential energy in orbit</p>
<p>so energy «\( = \frac{{{\text{answer to (b)(ii)}}}}{2}\)» = «–» 2.7 x 10<sup>33</sup> «J»</p>
<p> </p>
<p><em>Various approaches possible.</em></p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«KE will initially decrease so» total energy decreases<br><em><strong>OR</strong></em><br>«KE will initially decrease so» total energy becomes more negative</p>
<p>Earth moves closer to Sun</p>
<p>new orbit with greater speed «but lower total energy»</p>
<p>changes ellipticity of orbit</p>
<div class="question_part_label">b.iv.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>centripetal force is required</p>
<p>and is provided by gravitational force between Earth and Sun</p>
<p> </p>
<p><em>Award <strong>[1 max]</strong> for statement that there is a “centripetal force of gravity” without further qualification.</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.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">b.iv.</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 planet has radius <em>R</em>. At a distance <em>h </em>above the surface of the planet the gravitational field strength is <em>g </em>and the gravitational potential is <em>V</em>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by gravitational field strength.</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>Show that <em>V </em>= –<em>g</em>(<em>R </em>+ <em>h</em>).</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>Draw a graph, on the axes, to show the variation of the gravitational potential <em>V</em>Â of the planet with height <em>h </em>above the surface of the planet.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A planet has a radius of 3.1 × 10<sup>6</sup> m. At a point P a distance 2.4 × 10<sup>7</sup> m above the surface of the planet the gravitational field strength is 2.2 N kg<sup>–1</sup>. Calculate the gravitational potential at point P, include an appropriate unit for your answer.</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>The diagram shows the path of an asteroid as it moves past the planet.</p>
<p>Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â <img src="images/Schermafbeelding_2018-08-14_om_07.33.17.png" alt="M18/4/PHYSI/HP2/ENG/TZ2/06.c"></p>
<p>When the asteroid was far away from the planet it had negligible speed. Estimate the speed of the asteroid at point P as defined in (b).</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 mass of the asteroid is 6.2 × 10<sup>12</sup> kg. Calculate the gravitational force experienced by the <strong>planet </strong>when the asteroid is at point P.</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>the <strong>«</strong>gravitational<strong>» </strong>force per unit mass exerted on a point/small/test mass</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>at height <em>h </em>potential is <em>V</em> = –\(\frac{{GM}}{{(R + h)}}\)</p>
<p>field is <em>g </em>=Â \(\frac{{GM}}{{{{(R + h)}^2}}}\)</p>
<p><strong>«</strong>dividing gives answer<strong>»</strong></p>
<p>Â </p>
<p><em>Do not allow an answer that starts with g = –</em>\(\frac{{\Delta V}}{{\Delta r}}\)<em> and then cancels the deltas and substitutes </em><em>R </em>+ <em>h</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>correct shape and sign</p>
<p>non-zero negative vertical intercept</p>
<p>Â </p>
<p><img src="images/Schermafbeelding_2018-08-14_om_07.26.11.png" alt="M18/4/PHYSI/HP2/ENG/TZ2/06.a.iii/M"></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>V</em> = <strong>«</strong><span class="Apple-converted-space">–2.2 × (3.1 × 10<sup>6</sup> + 2.4 × 10<sup>7</sup>) =</span><strong>»</strong> <strong>«</strong><span class="Apple-converted-space">–</span><strong>»</strong> 6.0 × 10<sup>7</sup> J kg<sup>–1</sup></p>
<p>Â </p>
<p><em>Unit is essential</em></p>
<p><em>Allow eg MJ kg<sup>–</sup></em><em><sup>1</sup> </em><em>if power of 10 is correct</em></p>
<p><em>Allow other correct SI units eg m</em><sup><em>2</em></sup><em>s<sup>–</sup></em><sup><em>2</em></sup><em>, N m kg<sup>–</sup></em><sup><em>1</em></sup></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>total energy at P = 0 / KE gained = GPE lost</p>
<p><strong>«</strong><span class="Apple-converted-space">\(\frac{1}{2}\)<em>mv</em><sup>2</sup> + <em>mV</em> = 0 ⇒</span><strong>»</strong> <em>v</em> = \(\sqrt { - 2V} \)</p>
<p><em>v</em> = <strong>«</strong><span class="Apple-converted-space">\(\sqrt {2 \times 6.0 \times {{10}^7}} \) =</span><strong>»</strong> 1.1 × 10<sup>4</sup> <strong>«</strong><span class="Apple-converted-space">ms<sup>–1</sup></span><strong>»</strong></p>
<p>Â </p>
<p>Â </p>
<p><em>Award </em><strong><em>[3] </em></strong><em>for a bald correct answer</em></p>
<p><em>Ignore negative sign errors in the workings</em></p>
<p><em>Allow ECF from 6(b)</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><em>ALTERNATIVE 1</em></strong></p>
<p>force on asteroid is <strong>«</strong><span class="Apple-converted-space">6.2 × 10<sup>12</sup> × 2.2 =</span><strong>»</strong> 1.4 × 10<sup>13</sup> <strong>«</strong><span class="Apple-converted-space">N</span><strong>»</strong></p>
<p><strong>«</strong>by Newton’s third law<strong>» </strong>this is also the force on the planet</p>
<p><strong><em>ALTERNATIVE 2</em></strong></p>
<p>mass of planet = 2.4 x 10<sup>25</sup> <strong>«</strong>kg<strong>» «</strong>from <em>V</em> = –\(\frac{{GM}}{{(R + h)}}\)<strong>»</strong></p>
<p>force on planet <strong>«</strong><span class="Apple-converted-space">\(\frac{{GMm}}{{{{(R + h)}^2}}}\)</span><strong>»</strong> = 1.4 × 10<sup>13</sup> <strong>«</strong><span class="Apple-converted-space">N</span><strong>»</strong></p>
<p>Â </p>
<p><em>MP2 must be explicit</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.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>Hydrogen atoms in an ultraviolet (UV) lamp make transitions from the first excited state to the ground state. Photons are emitted and are incident on a photoelectric surface as shown.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-13_om_12.49.40.png" alt="M18/4/PHYSI/HP2/ENG/TZ1/08"></p>
</div>
<div class="specification">
<p>The photons cause the emission of electrons from the photoelectric surface. The work function of the photoelectric surface is 5.1 eV.</p>
</div>
<div class="specification">
<p>The electric potential of the photoelectric surface is 0 V. The variable voltage is adjusted so that the collecting plate is at –1.2 V.</p>
<p><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the energy of photons from the UV lamp is about 10 eV.</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, in J, the maximum kinetic energy of the emitted electrons.</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>Suggest, with reference to conservation of energy, how the variable voltage source can be used to stop all emitted electrons from reaching the collecting plate.</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>The variable voltage can be adjusted so that no electrons reach the collecting plate. Write down the minimum value of the voltage for which no electrons reach the collecting plate.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram, draw and label the equipotential lines at –0.4 V and –0.8 V.</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>An electron is emitted from the photoelectric surface with kinetic energy 2.1 eV. Calculate the speed of the electron at the collecting plate.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><em>E</em><sub>1</sub> = –13.6 <strong>«</strong><span class="Apple-converted-space">eV</span><strong>»</strong> E<sub>2</sub> = – \(\frac{{13.6}}{4}\) = –3.4 <strong>«</strong><span class="Apple-converted-space">eV</span><strong>»</strong></p>
<p>energy of photon is difference <em>E</em><sub>2</sub> – <em>E</em><sub>1</sub> = 10.2 <strong>«</strong><span class="Apple-converted-space">≈ 10 eV</span><strong>»</strong></p>
<p>Â </p>
<p><em>Must see at least 10.2 eV.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>10 – 5.1 = 4.9 <strong>«</strong><span class="Apple-converted-space">eV</span><strong>»</strong></p>
<p>4.9 × 1.6 × 10<sup>–19</sup> = 7.8 × 10<sup>–19</sup> <strong>«</strong><span class="Apple-converted-space">J</span><strong>»</strong></p>
<p>Â </p>
<p><em>Allow </em>5.1 <em>if </em>10.2 <em>is used to give</em> 8.2×10<sup>−19</sup><span class="Apple-converted-space"> </span><strong>«</strong><span class="Apple-converted-space">J</span><strong>»</strong>.</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>EPE produced by battery</p>
<p>exceeds maximum KE of electrons / electrons don’t have enough KE</p>
<p>Â </p>
<p><em>For first mark, accept explanation in terms of electric potential energy difference of electrons between surface and plate.</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>4.9 <strong>«</strong><span class="Apple-converted-space">V</span><strong>»</strong></p>
<p>Â </p>
<p><em>Allow 5.1 if 10.2 is used in (b)(i).</em></p>
<p><em>Ignore sign on answer.</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>two equally spaced vertical lines (judge by eye) at approximately 1/3 and 2/3</p>
<p>labelled correctly</p>
<p><img src="images/Schermafbeelding_2018-08-13_om_14.47.13.png" alt="M18/4/PHYSI/HP2/ENG/TZ1/08.c.i/M"></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>kinetic energy at collecting plate = 0.9 <strong>«</strong><span class="Apple-converted-space">eV</span><strong>»</strong></p>
<p>speed = <strong>«</strong><span class="Apple-converted-space">\(\sqrt {\frac{{2 \times 0.9 \times 1.6 \times {{10}^{ - 19}}}}{{9.11 \times {{10}^{ - 31}}}}} \)</span><strong>»</strong> = 5.6 × 10<sup>5</sup> <strong>«</strong>ms<sup>–1</sup><strong>»</strong></p>
<p>Â </p>
<p><em>Allow ECF from MP1</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.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.</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>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Motion of a rocket</p>
<p>A rocket is moving away from a planet within the gravitational field of the planet. When the rocket is at position P a distance of 1.30×10<sup>7</sup>m from the centre of the planet, the engine is switched off. At P, the speed of the rocket is 4.38×10<sup>3</sup>ms<sup>–1</sup>.</p>
<p><img 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" alt></p>
<p>At a time of 60.0 s later, the rocket has reached position Q. The speed of the rocket at Q is 4.25×10<sup>3</sup>ms<sup>–1</sup>. Air resistance is negligible.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline, with reference to the energy of the rocket, why the speed of the rocket is changing between P and Q.</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>Estimate the average gravitational field strength of the planet between P and Q.</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>(i) An object is a distance<em> r</em> from the centre of a planet. Show that the minimum speed required to escape the gravitational field is equal to<br>\[\sqrt {2g'r} \]<br>where <em>g′</em> is the gravitational field strength at distance <em>r</em> from the centre of a planet.</p>
<p>(ii) Discuss, using a calculation, whether the rocket at P can completely escape the gravitational field of the planet without further use of the engine.</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>A space station is in orbit at a distance <em>r</em> from the centre of the planet in (e)(i). A satellite is launched from the space station so as just to escape from the gravitational field of the planet. The launch takes place in the same direction as the velocity of the space station. Outline why the launch velocity relative to the space station can be less than your answer to (e)(i).</p>
<div class="marks">[1]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>gravitational potential energy is being gained;<br>this is at the expense of kinetic energy (and speed falls);</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\left( {{\rm{acceleration}} = \frac{{\left( {v - u} \right)}}{t} = \frac{{4.25 \times {{10}^3} - 4.38 \times {{10}^3}}}{{60}} = } \right)\left( - \right)2.17\left( {{\rm{m}}{{\rm{s}}^{ - 2}}} \right)\);</p>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">gravitational field strength <span style="font-size: 11.000000pt; font-family: 'SymbolMT';">= </span></span><span style="font-size: 11.000000pt; font-family: 'Arial';">acceleration of rocket (</span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 11.000000pt; font-family: 'Arial';">2.17 N kg</span><span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 3.000000pt;">–1</span><span style="font-size: 11.000000pt; font-family: 'Arial';">); } </span><em>(allow g <span style="font-size: 11.000000pt; font-family: 'SymbolMT';">=</span> a in symbols)</em></p>
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<p><em><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">or </span></strong></em></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">computes potential difference from KE per unit mass change (5.61</span><span style="font-size: 11.000000pt; font-family: 'Arial';">\( \times \)10</span><span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">5</span><span style="font-size: 11.000000pt; font-family: 'Arial';">),<br>computes distance travelled (0.259 Mm), uses \(g = \frac{{\left( - \right)\Delta V}}{{\Delta r}}\);<br><em>g</em>=(\( - \))2.17(ms<sup>-2</sup>);<br></span></p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(\left( {{\rm{gravitational force}}} \right){\rm{ = }}mg'{\rm{ = }}\frac{{{\rm{GMm}}}}{{{r^2}}}\);<br>\(\left( {{\rm{kinetic energy}}} \right){\rm{ = }}\frac{{{\rm{m}}{{\rm{v}}^{\rm{2}}}}}{2} = \frac{{GMm}}{r}\);<br>\({v^2} = 2\frac{{GM}}{{{r^2}}}r\left( { = 2g'r} \right)\);</p>
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<p><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[0] </span></strong></em><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>for centripetal force argument as rocket is not in orbit.</em><br> </span></p>
<p><span style="font-size: 11pt; font-family: 'Arial,Italic';">(ii) </span><span style="font-size: 11.000000pt; font-family: 'Arial';">calculation of speed at a relevant distance </span><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';">eg</span><span style="font-size: 11.000000pt; font-family: 'Arial';">: \(\sqrt {2 \times g' \times 13 \times {{10}^6}} = 7500\left( {{\rm{m}}{{\rm{s}}^{ - 1}}} \right)\);<br>speed is less than this so will not escape; } </span><em>(allow ECF from (d) which could lead to rocket able to escape)</em></p>
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<p><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[1 max] </span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">for use of g</span><span style="font-size: 11pt; font-family: 'SymbolMT';">=</span><span style="font-size: 11pt; font-family: 'Arial,Italic';">9.81 and r which gives 16000 ms</span><span style="font-size: 7pt; font-family: 'Arial,Italic'; vertical-align: 3pt;">–1 </span></em><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>.</em><br> </span></p>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';"> </span></p>
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<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">the satellite has velocity/kinetic energy as it is orbiting with the space station; </span></p>
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<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">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>There is a proposal to power a space satellite X as it orbits the Earth. In this model, X is connected by an electronically-conducting cable to another smaller satellite Y.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>Satellite Y orbits closer to the centre of Earth than satellite X. Outline why</p>
</div>
<div class="specification">
<p>The cable acts as a spring. Satellite Y has a mass <em>m</em> of 3.5 x 10<sup>2</sup> kg. Under certain circumstances, satellite Y will perform simple harmonic motion (SHM) with a period <em>T</em> of 5.2 s.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Satellite X orbits 6600 km from the centre of the Earth.</p>
<p style="text-align: center;">Mass of the Earth = 6.0 x 10<sup>24</sup> kg</p>
<p>Show that the orbital speed of satellite X is about 8 km s<sup>–1</sup>.</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 orbital times for X and Y are different.</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>satellite Y requires a propulsion system.</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>The cable between the satellites cuts the magnetic field lines of the Earth at right angles.</p>
<p style="text-align: center;"><img 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"></p>
<p style="text-align: left;">Explain why satellite X becomes positively charged.</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>Satellite X must release ions into the space between the satellites. Explain why the current in the cable will become zero unless there is a method for transferring charge from X to Y.</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>The magnetic field strength of the Earth is 31 μT at the orbital radius of the satellites. The cable is 15 km in length. Calculate the emf induced in the cable.</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>Estimate the value of <em>k</em> in the following expression.</p>
<p style="text-align: center;"><em>T</em> = \(2\pi \sqrt {\frac{m}{k}} \)</p>
<p>Give an appropriate unit for your answer. Ignore the mass of the cable and any oscillation of satellite X.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the energy changes in the satellite Y-cable system during one cycle of the oscillation.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>«\(v = \sqrt {\frac{{G{M_E}}}{r}} \)» = \(\sqrt {\frac{{6.67 \times {{10}^{ - 11}} \times 6.0 \times {{10}^{24}}}}{{6600 \times {{10}^3}}}} \)</p>
<p>7800 «m s<sup>–1</sup>»</p>
<p><em>Full substitution required</em></p>
<p><em>Must see 2+ significant figures.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Y has smaller orbit/orbital speed is greater so time period is less</p>
<p><em>Allow answer from appropriate equation</em></p>
<p><em>Allow converse argument for X</em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>to stop Y from getting ahead</p>
<p>to remain stationary with respect to X</p>
<p>otherwise will add tension to cable/damage satellite/pull X out of its orbit</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>cable is a conductor and contains electrons</p>
<p>electrons/charges experience a force when moving in a magnetic field</p>
<p>use of a suitable hand rule to show that satellite Y becomes negative «so X becomes positive»</p>
<p><em><strong>Alternative 2</strong></em></p>
<p>cable is a conductor</p>
<p>so current will flow by induction flow when it moves through a B field</p>
<p>use of a suitable hand rule to show current to right so «X becomes positive»</p>
<p><em>Marks should be awarded from either one alternative or the other.</em></p>
<p><em>Do not allow discussion of positive charges moving towards X</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>electrons would build up at satellite Y/positive charge at X</p>
<p>preventing further charge flow</p>
<p>by electrostatic repulsion</p>
<p>unless a complete circuit exists</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«<em>ε</em> = <em>Blv =</em>» 31 x 10<sup>–6</sup> x 7990 x 15000</p>
<p>3600 «V»</p>
<p><em>Allow 3700 «V» from v = 8000 m s<sup>–1</sup>.</em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>use of <em>k</em> = «\(\frac{{4{\pi ^2}m}}{{{T^2}}} = \)» \(\frac{{4 \times {\pi ^2} \times 350}}{{{{5.2}^2}}}\)</p>
<p>510</p>
<p>N m<sup>–1</sup> <em><strong>or</strong> </em>kg s<sup>–2</sup></p>
<p><em>Allow MP1 and MP2 for a bald correct answer</em></p>
<p><em>Allow 500</em></p>
<p><em>Allow N/m etc.</em></p>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>E</em><sub>p</sub> in the cable/system transfers to <em>E</em><sub>k</sub> of Y</p>
<p>and back again twice in each cycle</p>
<p><em>Exclusive use of gravitational potential energy negates MP1</em></p>
<div class="question_part_label">f.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.</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.</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>
<br><hr><br><div class="specification">
<p class="p1">This question is about the energy of an orbiting satellite.</p>
<p class="p1">A space shuttle of mass <em>m </em>is launched in the direction of the Earth’s South Pole.</p>
</div>
<div class="specification">
<p class="p1">The shuttle enters a circular orbit of radius \(R\) around the Earth.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The kinetic energy \({E_{\text{K}}}\) given to the shuttle at its launch is given by the expression</p>
<p class="p1">\[{E_{\text{K}}} = \frac{{7GMm}}{{8{R_{\text{E}}}}}\]</p>
<p class="p1">where \(G\) is the gravitational constant, \(M\) is mass of the Earth and \({R_{\text{E}}}\) is the radius of the Earth. Deduce that the shuttle cannot escape the gravitational field of the Earth.</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">Show that the total energy of the shuttle in its orbit is given by \( - \frac{{GMm}}{{2R}}\). Air resistance is negligible.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Using the expression for \({E_{\text{K}}}\) in (a) and your answer to (b)(i), determine \(R\) in terms of \({R_{\text{E}}}\).</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 class="p1">In practice, the total energy of the shuttle decreases as it collides with air molecules in the upper atmosphere. Outline what happens to the speed of the shuttle when this occurs.</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>KE needs to be \( \ge \) (magnitude of) GPE at surface \(\left( { - \frac{{GMm}}{{{R_E}}}} \right)\);</p>
<p>But KE is \(\frac{{7GMm}}{{8{R_{\text{E}}}}} < \frac{{GMm}}{{{R_{\text{E}}}}}\) / <em>OWTTE</em>;</p>
<p><strong><em>or</em></strong></p>
<p><span style="text-decoration: underline;">shows that</span> total energy at launch \( = - \frac{{GMm}}{{8{R_{\text{E}}}}}\); <em>(appropriate working required)</em></p>
<p>this is \( < 0\), so escape impossible;</p>
<p><strong><em>or</em></strong></p>
<p>states that escape velocity needed is \(\sqrt {\frac{{2GM}}{{{R_{\text{E}}}}}} \);</p>
<p><span style="text-decoration: underline;">shows</span> launch velocity is only \(\sqrt {\frac{{7GM}}{{4{R_{\text{E}}}}}} \); <em>(appropriate working required)</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({E_{{\text{tot}}}} = {\text{PE}} + {\text{KE}}\);</p>
<p class="p1"><span style="text-decoration: underline;">shows that</span> kinetic energy \( = (\frac{1}{2}m{v^2} = ){\text{ }}\frac{{GMm}}{{2R}}\); <em>(appropriate working required)</em></p>
<p class="p1">adds PE \(\left( { - \frac{{GMm}}{R}} \right)\) and KE to get given answer; <em>(appropriate working required)</em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\( - \frac{{GMm}}{{{R_{\text{E}}}}} + \frac{{7GMm}}{{8{R_{\text{E}}}}} = - \frac{{GMm}}{{2R}}\); <em>(equating total energy at launch and in orbit)</em></p>
<p>\(\frac{1}{{8{R_{\text{E}}}}} = \frac{1}{{2R}}\);</p>
<p>\(R = 4{R_{\text{E}}}\);</p>
<p><em>Award </em><strong><em>[0] </em></strong><em>for an answer such as </em>\(R = \frac{{4{R_{\text{E}}}}}{7}\)<em>.</em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">total energy decreases/becomes a greater negative value, <span style="text-decoration: underline;">so <em>R</em> decreases</span>;</p>
<p class="p1">as \(R\) decreases kinetic energy increases;</p>
<p class="p1">speed increases;</p>
<p class="p1"><em>Allow third marking point even if reasoning is incorrect</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">Candidates were asked to show that the shuttle could not escape the Earth’s field. There are many ways of approaching this, but in general answers were good, with only the weakest candidates failing to know where to start.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The determination of total energy of a mass in Earth orbit is a standard classroom derivation. Most were able to reproduce it, but not everyone explained how the formula for orbital KE was derived.</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Determining the radius of the orbit proved difficult for most candidates with many obtaining negative values or orbits with a radius less than the radius of the Earth. This was due to carelessness with the symbols used for the two different radii.</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Few candidates equated a decrease in total energy with an <span style="text-decoration: underline;">increasingly</span> negative value. The consequent fact that the radius of the orbit decreases and velocity increases was counter-intuitive for most candidates. Most incorrectly opted for a decrease in KE due to resistive forces.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline what is meant by escape speed.</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 probe is launched vertically upwards from the surface of a planet with a speed</p>
<p>\[v = \frac{3}{4}{v_{{\rm{esc}}}}\]</p>
<p>where v<sub>esc</sub> is the escape speed from the planet. The planet has no atmosphere.</p>
<p>Determine, in terms of the radius of the planet <em>R</em>, the maximum height from the surface of the planet reached by the probe.</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 total energy of a probe in orbit around a planet of mass <em>M</em> is \(E = - \frac{{GMm}}{{2r}}\) where <em>m</em> is the mass of the probe and <em>r</em> is the orbit radius. A probe in low orbit experiences a small frictional force. Suggest the effect of this force on the speed of the probe.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 10">
<div class="section">
<div class="layoutArea">
<div class="column">
<p>speed to reach infinity/zero gravitational field<br><em><strong>OR</strong></em><br>speed to escape gravitational pull/effect of planet’s gravity</p>
<div class="page" title="Page 10">
<div class="section">
<div class="layoutArea">
<div class="column">
<p><em>Do not allow reference to leaving/escaping an orbit.<br>Do not allow “escaping the atmosphere”.</em></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«kinetic energy at take off» =\(\frac{9}{{16}} \times \frac{{GMm}}{R}\)</p>
<p>kinetic energy at take off + «gravitational» potential energy = «gravitational» potential energy at maximum height</p>
<p><em><strong>OR</strong></em><br>\(\frac{9}{{16}} \times \frac{{GMm}}{R} - \frac{{GMm}}{R} = - \frac{{GMm}}{R}\)<br><br>solves for <em>r</em> and subtracts <em>R</em> from answer =\(\frac{{9R}}{7}\)<br><br><em>Award <strong>[0]</strong> for work that assumes constant g.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 10">
<div class="section">
<div class="layoutArea">
<div class="column">
<p>energy reduces/lost</p>
<p>radius decreases</p>
<p>speed increases</p>
<div class="page" title="Page 10">
<div class="section">
<div class="layoutArea">
<div class="column">
<p><em>Do not allow “kinetic energy reduces” for MP1</em></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<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 escape speed and gravitational effects.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain what is meant by escape 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>Titania is a moon that orbits the planet Uranus. The mass of Titania is 3.5×10<sup>21</sup>kg. The radius of Titania is 800 km.</p>
<p>(i) Use the data to calculate the gravitational potential at the surface of Titania.</p>
<p>(ii) Use your answer to (b)(i) to determine the escape speed for Titania.</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>An astronaut visiting Titania throws an object away from him with an initial horizontal velocity of 1.8 m s<sup>–1</sup>. The object is 1.5 m above the moon’s surface when it is thrown. The gravitational field strength at the surface of Titania is 0.37 N kg<sup>–1</sup>.</p>
<p>Calculate the distance from the astronaut at which the object first strikes the surface.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(minimum) speed of object to escape gravitational field of a planet/travel to infinity;<br>at surface of planet;<br>without (further) energy input;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \( - \frac{{6.67 \times {{10}^{ - 11}} \times 3.5 \times {{10}^{21}}}}{{8.0 \times {{10}^5}}}\);<br>−2.9×10<sup>5</sup>Jkg<sup>–1</sup>; <em>(allow Nmkg<sup>−1</sup>)</em><br><em>Award <strong>[1 max]</strong> if negative sign omitted.</em></p>
<p>(ii) \(\frac{1}{2}m{v^2} = mV\);<br>speed=\( = \sqrt {2 \times 2.9 \times {{10}^5}} \); <em>(allow ECF from (b)(i))</em><br>7.6 ×10<sup>2</sup>ms<sup>-1</sup>;<br><em>Ignore sign.</em><br><em>Award <strong>[3]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>time to hit surface \( = \sqrt {\frac{{2.0 \times 1.5}}{{0.37}}} \left( { = 2.85{\rm{s}}} \right)\);<br>distance to impact = 2.85×1.8;<br>5.1m;</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="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain what is meant by the gravitational potential at the surface of a planet.</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>An unpowered projectile is fired vertically upwards into deep space from the surface of planet Venus. Assume that the gravitational effects of the Sun and the other planets are negligible.</p>
<p>The following data are available.</p>
<table style="width: 491.667px;">
<tbody>
<tr>
<td style="width: 238px; padding-left: 90px;">Mass of Venus</td>
<td style="width: 270.667px;">= 4.87×10<sup>24</sup> kg</td>
</tr>
<tr>
<td style="width: 238px; padding-left: 90px;">Radius of Venus</td>
<td style="width: 270.667px;">= 6.05×10<sup>6</sup> m</td>
</tr>
<tr>
<td style="width: 238px; padding-left: 90px;">Mass of projectile</td>
<td style="width: 270.667px;">= 3.50×10<sup>3</sup> kg</td>
</tr>
<tr>
<td style="width: 238px; padding-left: 90px;">Initial speed of projectile</td>
<td style="width: 270.667px;">= 1.10×escape speed</td>
</tr>
</tbody>
</table>
<p> </p>
<p>(i) Determine the initial kinetic energy of the projectile.</p>
<p>(ii) Describe the subsequent motion of the projectile until it is effectively beyond the gravitational field of Venus.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the «gravitational» work done «by an external agent» per/on unit mass/kg</p>
<p><em>Allow definition in terms of reverse process of moving mass to infinity eg “work done on external agent by…”.<br>Allow “energy” as equivalent to “work done”</em></p>
<p>in moving a «small» mass from infinity to the «surface of» planet / to a point</p>
<p><em><strong>N.B</strong>.: on SL paper Q5(a)(i) and (ii) is about “gravitational field”.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>i<br>escape speed<br><em>Care with ECF from MP1.</em></p>
<p><em>v</em> = «\(\sqrt {\left( {\frac{{2\,{\text{GM}}}}{R}} \right)} = \)»</p>
<p>\(\sqrt {\left( {\frac{{2 \times 6.67 \times {{10}^{ - 11}} \times 4.87 \times {{10}^{24}}}}{{6.05 \times {{10}^6}}}} \right)} \) <em><strong>or</strong></em> 1.04×10<sup>4</sup>«<em>m s<sup>–</sup></em><sup>1</sup>»<br><br><em><strong>or</strong></em> «1.1 × 1.04 × 10<sup>4 </sup>m s<sup>-1</sup>»= 1.14 × 10<sup>4 </sup>«m s<em><sup>–</sup></em><sup>1</sup>»</p>
<p>KE = «0.5 × 3500 × (1.1 × 1.04 × 10<sup>4 </sup>m s<em><sup>–</sup></em><sup>1</sup>)<sup>2 </sup>=» 2.27×10<sup>11 </sup>«J»</p>
<p><em>Award <strong>[1 max]</strong> for omission of 1.1 – leads to 1.88×10<sup>11 </sup>m s<sup>-1</sup>.</em><br><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<p> </p>
<p>ii<br>Velocity/speed decreases / projectile slows down «at decreasing rate»</p>
<p>«magnitude of» deceleration decreases «at decreasing rate»<br><em>Mention of deceleration scores MP1 automatically.</em></p>
<p>velocity becomes constant/non-zero <br><em><strong>OR</strong></em><br>deceleration tends to zero</p>
<p><em>Accept “negative acceleration” for “deceleration”.</em></p>
<p><em>Must see “velocity” not “speed” for MP3.</em></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 a probe in orbit.</p>
<p>A probe of mass <em>m</em> is in a circular orbit of radius <em>r</em> around a spherical planet of mass <em>M</em>.</p>
<p style="text-align: center;"><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State why the work done by the gravitational force during one full revolution of the probe is zero.</p>
<p> </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>Deduce for the probe in orbit that its</p>
<p>(i) speed is \(v = \sqrt {\frac{{GM}}{r}} \).</p>
<p>(ii) total energy is \(E = - \frac{{GMm}}{{2r}}\).</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>It is now required to place the probe in another circular orbit further away from the planet. To do this, the probe’s engines will be fired for a very short time.</p>
<p>State and explain whether the work done on the probe by the engines is positive, negative <strong>or</strong> zero.</p>
<p> </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>because the force is always at right angles to the velocity / motion/orbit is an equipotential surface; <br><em>Do not accept answers based on the displacement being zero for a full revolution.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) equating gravitational force \(\frac{{GMm}}{{{r^2}}}\);<br>to centripetal force \(\frac{{m{v^2}}}{r}\) to get result;</p>
<p>(ii) kinetic energy is \(\frac{{GMm}}{{2r}}\);<br>addition to potential energy −\(\frac{{GMm}}{{r}}\) to get result;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the total energy (at the new orbit) will be greater than before/is less negative;<br>hence probe engines must be fired to produce force in the direction of motion / positive work must be done (on the probe); <br><em>Award <strong>[1]</strong> for mention of only potential energy increasing.</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 electric potential.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>electric potential</em> at a point in an electric field.</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>A positive point charge is moving towards a small, charged metal sphere along a radial path.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">At the position shown in the diagram, the point charge has a speed of 3.50 m s<sup>–1</sup> and is at a distance of 2.78 m from the centre of the metal sphere. The charge on the sphere is +4.00 μC.</p>
<p style="text-align: left;">(i) State the direction of the velocity of the point charge with respect to an equipotential surface due to the metal sphere.</p>
<p style="text-align: left;">(ii) Show that the electric potential <em>V</em> due to the charged sphere at a distance of 2.78 m from its centre is 1.29 ×10<sup>4</sup> V.</p>
<p style="text-align: left;">(iii) The electric potential at the surface of the sphere is 7.20 ×10<sup>4</sup> V. The point charge has a charge of +0.0320 μC and its mass is 1.20 ×10<sup>– 4</sup> kg. Determine if the point charge will collide with the metal sphere.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the work done per unit charge;<br>when a small/test/point positive charge; <em>(charge sign is essential)</em><br>is moved from infinity to the point;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) perpendicular / at right angles / at 90° / normal;</p>
<p>(ii) \(V = \frac{{8.99 \times {{10}^9} \times 4.00 \times {{10}^{ - 6}}}}{{2.78}}\) <em><strong>or</strong></em> \(1.2935 \times {10^4}{\rm{V}}\); (<em>use of</em> \(\frac{1}{{4\pi {\varepsilon _0}}}\) <em>gives 1.29378×10<sup>4</sup></em>)<br>(≈1.29×10<sup>4</sup>V)</p>
<address>(iii) difference in potential = (7.20×10<sup>4</sup>-1.29×10<sup>4</sup>=)5.91×10<sup>4</sup>; required loss in kinetic energy/minimum kinetic energy to reach sphere = (0.032×10<sup>-6</sup>×5.91×10<sup>4</sup>=)1.89×10<sup>-3</sup>J ;<br>available kinetic energy=(½×1.20×10<sup>-4</sup>×3.50<sup>2</sup>=)7.35×10<sup>-4</sup>J; not enough (initial) kinetic energy to reach sphere; <br><em>Response needs some statement of conclusion, e.g. so it does not reach sphere.</em><br><em>Allow answer in terms of minimum speed to reach sphere 5.61ms<sup>-1</sup>.</em> </address>
<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>There were three marks for this question and most scored 1 or 2. The full definition of electric potential at a point was simply not well enough remembered. Many forgot that it is (i) the work done per unit charge on a (ii) positive (test) charge (iii) as the charge is moved from infinity to the point in question.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) Most failed to read the question and did not realize that the question required the direction with respect to an equipotential surface. Most gave the direction relative to the diagram.<br>(ii) This was well done by a great many, however examiners did expect to see a full substitution, it was not acceptable to leave the permittivity of free space as a symbol in this “show that” question.<br>(iii) Even where candidates could negotiate a path through this testing question, solutions were seldom clear.</p>
<div class="question_part_label">b.</div>
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<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 electric charge and resistance. </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 orbital motion. </span></p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">Part 1 </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">Electric charge and resistance<br> </span></p>
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<p>Two plastic rods each have a positive charge +<em>q</em> situated at one end. The rods are arranged as shown.<img src="data:image/png;base64,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" alt></p>
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<p>Assume that the charge at the end of each rod behaves as a point charge. Draw, in the shaded area on the diagram</p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">(i) the electric field pattern due to the two charges.</span></p>
<p>(ii) a line to represent an equipotential surface. Label the line with the letter V.</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<p>(i) <img 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" 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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">at least four field lines (minimum two per rod) to show overall shape of pattern; direction of lines all away from poles;<br> </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-style: italic;">Ignore all working outside region.<br> Any field lines crossing loses first mark even if accidental. </span></p>
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<p>(ii) any line <span style="text-decoration: underline;">labelled V</span> perpendicular to the field lines it traverses; <em>(judge by eye)<br>Ignore unlabelled lines as they could be field lines.</em></p>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<div class="column">The shapes of possible equipotential surfaces were very poorly constructed. Candidates in their diagrams showed a poor understanding of the relationship.</div>
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<p><strong>Part 2</strong> Gravitational potential</p>
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<p>Define <em>gravitational potential</em> at a point in a gravitational field.</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>The graph shows how the gravitational potential <em>V</em> of Earth varies with distance <em>R</em> from the centre of Earth in the range <em>R</em>=2.0×10<sup>8 </sup>m to <em>R</em>=5.0×10<sup>8</sup> m.</p>
<p><img 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" alt></p>
<p>The Moon is at a distance of 4.0×10<sup>8 </sup>m from the centre of Earth. At some time in the past it was at a distance of 2.7×10<sup>8 </sup>m from the centre of Earth.</p>
<p>Use the graph opposite to determine</p>
<p>(i) the present day magnitude of the acceleration of the Moon.</p>
<p>(ii) by how much the potential energy of the Moon has changed as a result of moving from <em>R</em>=2.7×10<sup>8 </sup>m to <em>R</em>=4.0×10<sup>8 </sup>m. The mass of the Moon is 7.4×10<sup>22 </sup>kg.</p>
<div class="marks">[6]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State why the change of potential energy in (f)(ii) is an increase.</p>
<div class="marks">[1]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>work done per unit mass;<br>in bringing (test) mass from infinity to point;<br>reference to small/point (test) mass;</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) tangent construction attempted at <em>R</em>=4.0×10<sup>8 </sup>m;<br>triangle/pair of coordinates used in calculation;<br>attempt to calculate gradient;<br>2.5×10<sup>–3 </sup>ms<sup>−2</sup>; <em>(accept answers in the range of 2.2 to 2.7)</em><br><em>Award <strong>[1 max]</strong> for \(\frac{V}{R}\) to give (–)2.1×10<sup>–3</sup>.</em></p>
<p>(ii) change in <em>V</em>=0.45<em>×</em>10<sup>6</sup>-0.50<em>×</em>10<sup>6 </sup>Jkg<sup>−1</sup>;<br>change in PE = (0.5<em>×</em>10<sup>6</sup><em>×</em>7.4<em>×</em>10<sup>22</sup>=)3.3-3.7<em>×</em>10<sup>28 </sup>J;</p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>work is done against the gravitational field of Earth / Moon is now closer to infinity/further from Earth / \(\frac{{ - GMm}}{R}\) means that as R increases potential increases/becomes less negative;</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">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>
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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">Part 2 </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">Orbital motion </span></p>
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<p>A satellite, of mass <em>m</em>, is in orbit about Earth at a distance <em>r</em> from the centre of Earth. Deduce that the kinetic energy <em>E</em><sub>K</sub> of the satellite is equal to half the magnitude of the potential energy <em>E</em><sub>P</sub> of the satellite.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
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<p>The graph shows the variation with distance <em>r</em> of the Earth’s gravitational potential <em>V</em>. Values of <em>V</em> for <em>r</em><<em>R</em>, where <em>R</em> is the radius of Earth, are not shown.</p>
<p><img src="data:image/png;base64,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" alt></p>
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<p>The satellite in (a) has a mass of 8.2×10<sup>2</sup>kg and it is in orbit at a distance of 1.0×10<sup>7</sup>m from the centre of Earth. Using data from the graph and your answer to (a), calculate for the satellite</p>
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<p>(i) its total energy.</p>
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<p>(ii) its orbital speed.</p>
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<p>(iii) the energy it must gain to move to an orbit a distance 2.0×10<sup>7</sup> m from the centre of the Earth.</p>
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<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<p>\(\frac{{m{v^2}}}{r} = \frac{{GMm}}{{{r^2}}}\);<br><em>E</em><sub>K</sub> = \(\frac{1}{2}\)<em>mv</em><sup>2</sup>=\(\frac{{GMm}}{{2r}}\)<em>;<br></em>\({E_P} = - \frac{{GMm}}{r}\) (hence magnitude of E<sub>k</sub>=½ magnitude of E<sub>P</sub>);</p>
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<p>(i) total energy=(KE+PE=)−\(\frac{{Vm}}{2}\);<br>\( = \left( { - \frac{{4.0 \times {{10}^7} \times 8.2 \times {{10}^2}}}{2} = } \right) - 1.6 \times {10^{10}}{\rm{J}}\);</p>
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<p>(ii) <em>v</em>=\(\sqrt V \); (or use of <em>E<sub>k</sub>=½mv<sup><sub>2</sub></sup>)<br>=</em>6.3×10<sup>3</sup>ms<sup>-1</sup>;</p>
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<p>(iii) total energy in new orbit=\(\left( { - \frac{{2.0 \times {{10}^7} \times 8.2 \times {{10}^2}}}{2} = } \right) - 0.82 \times {10^{10}}\left( {\rm{J}} \right)\);<br>energy required=(1.6×10<sup>10</sup>−0.82×10<sup>10</sup>=)7.8×10<sup>9</sup>J;</p>
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<p><em><strong>or</strong></em></p>
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<p>total energy is proportional to <em>E</em><sub>P</sub>;<br>so energy required =−(b)(i)÷2=8 <strong><em>or</em></strong> 8.2×10<sup>9</sup>J; <em>(allow ECF from (b)(i))</em></p>
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<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<div class="column">The deduction that the kinetic energy of a satellite is equal to half the magnitude of its potential energy was poorly shown by about half the candidates. The proof can begin with the equating of centripetal and gravitational forces for the satellite with a subsequent substitution into the kinetic energy equation, but many failed to remember this. Some got most of the way but failed to show the examiner the final step with the factor 1⁄2.</div>
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<div class="question_part_label">a.</div>
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<div class="column">(i) (ii) and (iii) This sequence of calculations of the total energy, the orbital speed and the energy change for the satellite was poor. This is standard work and candidates made little of it. The understanding of energy topics in gravitational fields was poorly demonstrated by the candidates throughout this question.</div>
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<div class="question_part_label">b.</div>
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<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about solar radiation and the greenhouse effect. <strong>Part 2 </strong>is about orbital motion.</p>
<p><strong>Part 1</strong> Solar radiation and the greenhouse effect</p>
<p>The following data are available.</p>
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" alt></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 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the Stefan-Boltzmann law for a black body.</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>Deduce that the solar power incident per unit area at distance <em>d</em> from the Sun is given by</p>
<p>\(\frac{{\sigma {R^2}{T^4}}}{{{d^2}}}\).</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>Calculate, using the data given, the solar power incident per unit area at distance <em>d</em> from the Sun.</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>State <strong>two</strong> reasons why the solar power incident per unit area at a point on the surface of the Earth is likely to be different from your answer in (c).</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 average power absorbed per unit area at the Earth’s surface is 240Wm<sup>–2</sup>. By treating the Earth’s surface as a black body, show that the average surface temperature of the Earth is approximately 250K.</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 why the actual surface temperature of the Earth is greater than the value in (e).</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>(i) Identify the force that causes the centripetal acceleration of the spaceship.</p>
<p>(ii) Explain why astronauts inside the spaceship would feel “weightless”, even though there is a force acting on them.</p>
<div class="marks">[4]</div>
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Deduce that the speed of the spaceship is \(v = \sqrt {\frac{{GM}}{r}} \).</p>
<div class="marks">[2]</div>
<div class="question_part_label">i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The table gives equations for the forms of energy of the orbiting spaceship.</p>
<p><img 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" alt></p>
<p>The spaceship passes through a cloud of gas, so that a small frictional force acts on the spaceship.</p>
<p>(i) State and explain the effect that this force has on the total energy of the spaceship.</p>
<p>(ii) Outline the effect that this force has on the speed of the spaceship.</p>
<div class="marks">[4]</div>
<div class="question_part_label">j.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>power/energy per second emitted is proportional to surface area;<br>and proportional to fourth power of absolute temperature / temperature in K;<br><em>Accept equation with symbols defined.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>solar power given by \(4\pi {R^2}\sigma {T^4}\);<br>spreads out over sphere of surface area \(4\pi {d^2}\);<br><em>Hence equation given.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\left( {\frac{{\sigma {R^2}{T^4}}}{{{d^2}}} = } \right)\frac{{5.7 \times {{10}^{ - 8}} \times {{\left[ {7.0 \times {{10}^8}} \right]}^2} \times {{\left[ {5.8 \times {{10}^3}} \right]}^4}}}{{{{\left[ {1.5 \times {{10}^{11}}} \right]}^2}}}\);</p>
<p>=1.4×10<sup>3</sup>(Wm<sup>-2</sup>);</p>
<p><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>some energy reflected;<br>some energy absorbed/scattered by atmosphere;<br>depends on latitude;<br>depends on time of day;<br>depends on time of year;<br>depends on weather (<em>eg</em> cloud cover) at location;<br>power output of Sun varies;<br>Earth-Sun distance varies;</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>power radiated=power absorbed;<br>\(T = {}^4\sqrt {\frac{{240}}{{5.7 \times {{10}^{ - 8}}}}} \left( { = 250{\rm{K}}} \right)\);</p>
<p><em>Accept answers given as 260 (K).</em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>radiation from Sun is re-emitted from Earth at longer wavelengths;<br>greenhouse gases in the atmosphere absorb some of this energy;<br>and radiate some of it back to the surface of the Earth;</p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) gravitational force / gravitational attraction / weight; <em>(do not accept gravity)</em></p>
<p>(ii) astronauts and spaceship have the same acceleration;<br>acceleration is towards (centre of) planet;<br>so no reaction force between astronauts and spaceship;</p>
<p><em><strong>or</strong></em></p>
<p>astronauts and spaceships are both falling towards the (centre of the) planet;<br>at the same rate;<br>so no reaction force between astronauts and spaceship;</p>
<div class="question_part_label">h.</div>
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<p>gravitational force equated with centripetal force / \(\frac{{GmM}}{{{r^2}}} = \frac{{m{v^2}}}{r}\);</p>
<p>\( \Rightarrow {v^2} = \frac{{GM}}{r} \Rightarrow \left( {v = \sqrt {\frac{{GM}}{r}} } \right)\);</p>
<div class="question_part_label">i.</div>
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<p>(i) thermal energy is lost;<br>total energy decreases;</p>
<p>(ii) since <em>E</em> decreases, <em>r</em> also decreases;<br>as <em>r</em> decreases <em>v</em> increases / <em>E</em><sub>k</sub> increases so <em>v</em> increases;</p>
<div class="question_part_label">j.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">The Stefan-Boltzmann law was poorly understood with few candidates stating that the absolute temperature is raised to the fourth power. </span></p>
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<div class="question_part_label">a.</div>
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">This question was poorly done with few candidates substituting the surface area of the sun or the </span><span style="font-size: 10.000000pt; font-family: 'Arial';">surface area of a sphere at the Earth’s radius of orbit. </span></p>
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<div class="question_part_label">b.</div>
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">Despite not being able to state or manipulate the Stefan-Boltzmann law most candidates could substitute values into the expression and calculate a result. </span></p>
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<div class="question_part_label">c.</div>
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">This question was well answered at higher level. </span></p>
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<div class="question_part_label">d.</div>
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">To show the given value there is the requirement for an explanation of why the incident power </span><span style="font-size: 10.000000pt; font-family: 'Arial';">absorbed by the Earth’s surface is equal to the power radiated by the Earth, few candidates were </span><span style="font-size: 10.000000pt; font-family: 'Arial';">successful in this aspect. Although most could substitute into the Stefan-Boltzmann equation they needed to either show that the fourth root was used or to find the temperature to more significant figures than the value given. </span></p>
<div class="question_part_label">e.</div>
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">A surprising number of candidates could not explain the greenhouse effect. A common misunderstanding was that the Earth reflected radiation into the atmosphere and that the atmosphere reflected the radiation back to the Earth. </span></p>
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<div class="question_part_label">f.</div>
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">(i) Most were able to state gravitational force, however a significant number stated gravity and consequently did not get the mark. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">(ii) Many answers only discussed the astronauts and not the spaceship, missing points such as </span><span style="font-size: 10.000000pt; font-family: 'Arial';">‘falling at the same rate’ or ‘with the same acceleration’. </span></p>
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<div class="question_part_label">h.</div>
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">This was well answered with candidates able to adequately show in their explanation where the expression comes from. </span></p>
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<div class="question_part_label">i.</div>
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">ji) Most appreciated that the effect of the force would be to decrease the total energy. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">jii) Very few appreciated that they should use the equations above to answer this part of the question. As a consequence, the most common answer discussed a decrease in kinetic energy and a decrease in speed. </span></p>
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<div class="question_part_label">j.</div>
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<br><hr><br><div class="specification">
<p>The diagram shows the gravitational field lines of planet X.</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>Outline how this diagram shows that the gravitational field strength of planet X decreases with distance from the surface.</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>The diagram shows part of the surface of planet X. The gravitational potential at the surface of planet X is –3<em>V</em> and the gravitational potential at point Y is –<em>V</em>.</p>
<p><img src="data:image/png;base64,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"></p>
<p>Sketch on the grid the equipotential surface corresponding to a gravitational potential of –2<em>V</em>.</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>A meteorite, very far from planet X begins to fall to the surface with a negligibly small initial speed. The mass of planet X is 3.1 × 10<sup>21</sup> kg and its radius is 1.2 × 10<sup>6</sup> m. The planet has no atmosphere. Calculate the speed at which the meteorite will hit the surface.</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>At the instant of impact the meteorite which is made of ice has a temperature of 0 °C. Assume that all the kinetic energy at impact gets transferred into internal energy in the meteorite. Calculate the percentage of the meteorite’s mass that melts. The specific latent heat of fusion of ice is 3.3 × 10<sup>5</sup> J kg<sup>–1</sup>.</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>the field lines/arrows are further apart at greater distances from the surface</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>circle centred on Planet X<br>three units from Planet X centre</p>
<p><img 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"></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>loss in gravitational potential = \(\frac{{6.67 \times {{10}^{ - 11}} \times 3.1 \times {{10}^{21}}}}{{1.2 \times {{10}^6}}}\)</p>
<p>«= 1.72 × 10<sup>5</sup> JKg<sup>−1</sup>»</p>
<p>equate to \(\frac{1}{2}\)<em>v</em><sup>2</sup></p>
<p>v = 590 «m s<sup>−1</sup>»</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>available energy to melt one kg 1.72 × 10<sup>5</sup> «J»</p>
<p>fraction that melts is \(\frac{{1.72 \times {{10}^5}}}{{3.3 \times {{10}^5}}}\) = 0.52 <em><strong>OR</strong></em> 52%</p>
<p> </p>
<p><em>Allow ECF from MP1.</em></p>
<p><em>Allow 53% from use of 590 ms<sup>-1</sup>.</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;">
[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>
<br><hr><br>