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</div><h2>SL Paper 1</h2><div class="question">
<p>A mass at the end of a string is swung in a horizontal circle at increasing speed until the string breaks.</p>
<p> <img src="images/Schermafbeelding_2018-08-12_om_10.12.50.png" alt="M18/4/PHYSI/SPM/ENG/TZ2/23"></p>
<p>The subsequent path taken by the mass is a</p>
<p>A. line along a radius of the circle.</p>
<p>B. horizontal circle.</p>
<p>C. curve in a horizontal plane.</p>
<p>D. curve in a vertical plane.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>An object rotates in a horizontal circle when acted on by a centripetal force <em>F</em>. What is the centripetal force acting on the object when the radius of the circle doubles and the kinetic energy of the object halves?</p>
<p>A. \(\frac{F}{4}\)</p>
<p>B. \(\frac{F}{2}\)</p>
<p>C. <em>F</em></p>
<p>D. 4<em>F</em></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>An object at the end of a wooden rod rotates in a vertical circle at a constant angular velocity. What is correct about the tension in the rod? </p>
<p>A. It is greatest when the object is at the bottom of the circle.<br>B. It is greatest when the object is halfway up the circle. <br>C. It is greatest when the object is at the top of the circle. <br>D. It is unchanged throughout the motion.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A mass is suspended by a string from a fixed point. The mass moves with constant speed along a circular path in a horizontal plane.</p>
<p><img src="images/Screen_Shot_2016-08-01_at_1.18.48_PM.png" alt></p>
<p>The resultant force acting on the mass is</p>
<p>A. zero.</p>
<p>B. directed upwards along the string.</p>
<p>C. directed towards the centre of the circular path.</p>
<p>D. in the same direction as the velocity of the mass.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What is the acceleration of an object rotating with constant speed <em>v</em> in a circle of radius <em>r</em>?</p>
<p>A. Zero</p>
<p>B. \(\frac{{{v^2}}}{r}\) towards the centre of the circle</p>
<p>C. \(\frac{{{v^2}}}{r}\) away from the centre of the circle</p>
<p>D. \(\frac{{{v^2}}}{r}\) along a tangent to the circle</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A spherical planet of uniform density has three times the mass of the Earth and twice the average radius. The magnitude of the gravitational field strength at the surface of the Earth is <em>g</em>. What is the gravitational field strength at the surface of the planet?</p>
<p>A. 6 <em>g</em></p>
<p>B. \(\frac{2}{3}g\)</p>
<p>C. \(\frac{3}{4}g\)</p>
<p>D. \(\frac{3}{2}g\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The maximum speed with which a car can take a circular turn of radius <em>R</em> is <em>v</em>. The maximum speed with which the same car, under the same conditions, can take a circular turn of radius 2<em>R</em> is</p>
<p>A. 2<em>v</em>.<br>B. \(v\sqrt 2 \).<br>C. 4<em>v</em>.<br>D. \(2v\sqrt 2 \).</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 13">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';"> </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p>Which single condition enables Newton’s universal law of gravitation to be used to predict the force between the Earth and the Sun?</p>
<p>A. The Earth and the Sun both have a very large radius.</p>
<p>B. The distance between the Earth and the Sun is approximately constant.</p>
<p>C. The Earth and the Sun both have a very large mass.</p>
<p>D. The Earth and the Sun behave as point masses.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>On Mars, the gravitational field strength is about \(\frac{1}{4}\) of that on Earth. The mass of Earth is approximately ten times that of Mars.</p>
<p>What is \(\frac{{{\text{radius of Earth}}}}{{{\text{radius of Mars}}}}\) ?</p>
<p>A. 0.4</p>
<p>B. 0.6 </p>
<p>C. 1.6 </p>
<p>D. 2.5</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A car moves at constant speed around a horizontal circular track. The resultant force on the car is always equal to</p>
<p>A. the forward force from the engine.</p>
<p>B. the sideways friction between the tires and the track.</p>
<p>C. the weight of the car.</p>
<p>D. zero.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">The weight of an object of mass 1 kg at the surface of Mars is about 4 N. The radius of Mars is about half the radius of Earth. Which of the following is the best estimate of the ratio below?</p>
<p class="p1">\[\frac{{{\text{mass of Mars}}}}{{{\text{mass of Earth}}}}\]</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>0.1</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>0.2</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>5</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>10</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">The inverse square law means that halving the radius of a planet results in quadrupling the gravitational field strength at its surface.</p>
</div>
<br><hr><br><div class="question">
<p>The centres of two planets are separated by a distance <em>R</em>. The gravitational force between the two planets is <em>F</em>. What will be the force between the planets when their separation increases to 3<em>R</em>?</p>
<p>A. \(\frac{F}{9}\)</p>
<p>B. \(\frac{F}{3}\)</p>
<p>C. <em>F</em></p>
<p>D. 3<em>F</em></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A mass at point <em>X</em> gives rise to a gravitational field strength <em>g</em> at point <em>P</em> as shown below.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOcAAABBCAIAAACl0ySEAAAFXElEQVR4nO2csWvbWBzH/Z/Y4CmBQNspkxVvTQyhg20KJckQEuIM4QrFECnJtSVwyAEfCaSZfE6ilFwLPRm6nXuIWzzkKHjIYDQreCgejEGlg3g3PEWWZSmWLUWunO+HN0Xh6Qk+ev693/s9RQgAYSMy7gEAMDSDrNUap4vT8WjM1KaflRsavdqWdqZiPVcXy7J274MGPzU2znTlWeBKn782PTriZq5ty+LeAr1l8apjvfpN4hLx6OJOWZTktrfBgIlB6zSEtaneOY5oHfnv31dnHUQaApcRAlUzNsNJvWJqnYaQ2zj6B74CC/rv8ItT+bvd3xM70reR+3ZprdaW9maisfjUntTuzu5a88tb7n2jg5gAWNHk8rM+YQghzjPgELhejfW9OlAWOKNPc3Zq6tZ6WQK5zyHQm92GKZ2rIygLHKG22IUB+lrNHO8OjXtrv8vlF/or0r4Wih+hLHDEKajthpq/VG5+jNz9EPlaPVKJJhZWD6Tm6LcEk86tmn0xgNb88uvT6Xh0dq18HUAOgd6Tzu2eVn/gAaD/LM+snvxnzG4dWfpUXJuKxaOLO2LDi7JkOGs716ersx5Xf2Dy0We32bXi+1Nu0dhimFkt/iX+K/sRWLq2VruR3uz/UXplO/MDYOCc8/INd9ZqN9Kbt6eNtnOUDQDljpyXb7iw1lCW+JO2ABNNb4b0fhhYPWNSlpBuoI3QFtgSyK/x3da2G+dHx1c9FToBRC0gtDjmvPzF0VqtWTvaeGWaZY0LyH8BJ3yoMXCDjbVa8+vnMrcQjc1siDd9b8xtojgWf8oJngslwQTxoyntO1e0+kmvtTb1vKYAxb7aF/kEcLvb73R6wG9wAgeED1gLwgesBeED1oLwAWtB+IC1IHzAWhA+YC0IHwOsVRSlWq0WeJ5j2Xg0lmQYjmULPF+tVhVFCWaIAFhwtLZer2/mcg7fvdEbx7L1ej3I4QJAbK1VVZXOrEabSzCZdDaf387ntzPp7FyCsbirqmrwQwcPFqu1iqIkGV3KJ48eb229LJXO/vzwydJKpbOtrZdPHj2m/5lkGAQMIDB6rDUru7y0ci5c9vtqcXd5aQXigoDpWquqqqFsPr99t6/mls9vG+IiVAAB0LW2wPMjKGsRt8DzY3wY8EDQrZVlmWqXSWeHVZa2TDpLe5BlebyPBCYe3VojaWC79nLTSqUzTLcgGCKEkFarRYVbX98YTVna1tc3aD+tVmvczwUmmQghpFarUdsOD4+9WFs4KNJ+arXauJ8LjBlFUQo8n2SYJMMUeN7f/FKEEHIhCNQ2L8rSRvu5EAQfhwhCR71e799J9XEbNUJug9qR12H9azKOZf0aHwgjRgrV3JIM41f/sBb4jJGP6m9+5ZdgLfCZQK1Nzae8W5uaT8HaB05A1lZEkXY6sPDg7nYuXNJ+KqLoy+BASHmezfYr+zyb9av/CDGt+AoHRS/W7u//5vtqEYQRcxnWfRRXRYipbsZjaEuDWtTQAEJIq9W6EASOZTmWvRAEfzee9B3dk3cnHjcaDg+PaQ8n7058HB8A/ejWGpu6cwlmhOj2XLg0DjhgOxfcN91KRWNNtry0MlpsgHUYCIaeswzG8cZMOutyxj0XLg1lN3O5cT0GeFD0WKuqqiHuXIIZmFIoHBSNwGAzl8MiDASD9bSj5YBuaj61u/vaUnRbKp3t7r6mGwo4pguCx/57CBVR7C+AyKSzRjBgzsMhlgUB4/gVD1VVbd01b3VURBFTLAiewd/5oh9NqohigecLPF8RRXwuCYwXfJ0OhA9YC8IHrAXhA9aC8AFrQfiAtSB8wFoQPmAtCB+wFoSP/wGmvMJC4CrxDwAAAABJRU5ErkJggg==" alt></p>
<p>An identical mass is placed at point <em>Y</em> as shown below.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The resultant gravitational field strength at <em>P</em> is now</p>
<p><br>A. greater than 2<em>g</em>.</p>
<p>B. between 2<em>g</em> and <em>g</em>.</p>
<p>C. between <em>g</em> and zero.</p>
<p>D. zero.<br><br></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">A small sphere X of mass \(M\) is placed a distance \(d\) from a point mass. The gravitational force on sphere X is 90 N. Sphere X is removed and a second sphere Y of mass \(4M\) is placed a distance \(3d\) from the same point mass. The gravitational force on sphere Y is</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>480 N.</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>160 N.</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>120 N.</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>40 N.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
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<br><hr><br><div class="question">
<p>The gravitational field strength at the surface of Earth is<em> g</em>. Another planet has double the radius of Earth and the same density as Earth. What is the gravitational field strength at the surface of this planet?</p>
<p>A. \(\frac{g}{2}\)</p>
<p>B. \(\frac{g}{4}\)</p>
<p>C. 2<em>g</em></p>
<p>D. 4<em>g</em></p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
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<p>Newton’s law of gravitation</p>
<p>A.<span class="Apple-converted-space"> </span>is equivalent to Newton’s second law of motion.</p>
<p>B.<span class="Apple-converted-space"> </span>explains the origin of gravitation.</p>
<p>C.<span class="Apple-converted-space"> </span>is used to make predictions.</p>
<p>D.<span class="Apple-converted-space"> </span>is not valid in a vacuum.</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">For a particle moving at constant speed in a horizontal circle, the work done by the centripetal force is</p>
<p class="p1">A. zero.</p>
<p class="p1">B. directly proportional to the particle mass.</p>
<p class="p1">C. directly proportional to the particle speed.</p>
<p class="p1">D. directly proportional to the (particle speed)<sup><span class="s1">2</span></sup>.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>An object of mass <em>m </em>at the end of a string of length <em>r </em>moves in a vertical circle at a constant angular speed <em>ω</em>.</p>
<p>What is the tension in the string when the object is at the bottom of the circle?</p>
<p>A. <em> m</em>(<em>ω</em><sup>2</sup><em>r </em>+ <em>g</em>)</p>
<p>B. <em> m</em>(<em>ω</em><sup>2</sup><em>r</em><em> –</em> <em>g</em>)</p>
<p>C. <em> mg</em>(<em>ω</em><sup>2</sup><em>r</em><em> </em>+ 1)</p>
<p>D. <em> mg</em>(<em>ω</em><sup>2</sup><em>r</em><em> –</em> 1)</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<div class="column">A spacecraft travels away from Earth in a straight line with its motors shut down. At one instant the speed of the spacecraft is 5.4 km s<sup>–1</sup>. After a time of 600 s, the speed is 5.1 km s<sup>-1</sup>. The average gravitational field strength acting on the spacecraft during this time interval is</div>
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<p>5.0×10<sup>–4 </sup>N kg<sup>–1</sup></p>
</li>
<li>
<p>3.0×10<sup>–2 </sup>N kg<sup>–1</sup></p>
</li>
<li>
<p>5.0×10<sup>–1 </sup>N kg<sup>–1</sup></p>
</li>
<li>
<p>30 N kg<sup>–1</sup></p>
</li>
</ol>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">C</div>
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</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
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<br><hr><br><div class="question">
<p>What is the definition of gravitational field strength at a point?</p>
<p>A. Force acting per unit mass on a small mass placed at the point.</p>
<p>B. Work done per unit mass on any mass moved to the point.</p>
<p>C. Force acting on a small mass placed at the point.</p>
<p>D. Work done on any mass moved to the point.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A body moves with uniform speed around a circle of radius <em>r</em>. The period of the motion is <em>T</em>. What is the speed of the body?</p>
<p>A. \(\frac{{2\pi r}}{T}\)</p>
<p>B. \(\frac{{2\pi T}}{r}\)</p>
<p>C. Zero</p>
<p>D. \(\frac{{\pi {r^2}}}{T}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
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<div class="column">Planet X has mass <em>M</em> and radius <em>R</em>. Planet Y has mass 2<em>M</em> and radius 3<em>R</em>. The gravitational field strength at the surface of planet X is <em>g</em>. What is the gravitational field strength at the surface of planet Y?</div>
<div class="column"> </div>
<div class="column">A. \(\frac{2}{9}g\)</div>
<div class="column"> </div>
<div class="column">B. \(\frac{2}{3}g\)</div>
<div class="column"> </div>
<div class="column">C. \(\frac{3}{2}g\)</div>
<div class="column"> </div>
<div class="column">D. \(\frac{9}{2}g\)</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">A ball is tied to a string and rotated at a uniform speed in a vertical plane. The diagram shows the ball at its lowest position. Which arrow shows the direction of the net force acting on the ball?</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-08_om_17.23.19.png" alt="N10/4/PHYSI/SPM/ENG/TZ0/07"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A planet has half the mass and half the radius of the Earth. What is the gravitational field strength at the surface of the planet? The gravitational field strength at the surface of the Earth is 10 N kg<sup>–1</sup>.</p>
<p>A. 2.5 N kg<sup>–1</sup></p>
<p>B. 5.0 N kg<sup>–1</sup></p>
<p>C. 10 N kg<sup>–1</sup></p>
<p>D. 20 N kg<sup>–1</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p style="text-align: left;">D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A satellite X of mass <em>m</em> orbits the Earth with a period <em>T</em>. What will be the orbital period of satellite Y of mass <em>2m </em>occupying the same orbit as X?</p>
<p>A. \(\frac{T}{2}\)</p>
<p>B. <em>T</em></p>
<p>C. \(\sqrt {2T} \)</p>
<p>D. 2<em>T</em></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>An object of constant mass is tied to the end of a rope of length <em>l</em> and made to move in a horizontal circle. The speed of the object is increased until the rope breaks at speed <em>v</em>. The length of the rope is then changed. At what other combination of rope length and speed will the rope break?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">A particle P is moving anti-clockwise with constant speed in a horizontal circle.</p>
<p class="p1">Which diagram correctly shows the direction of the velocity \(v\)<em> </em>and acceleration \(a\)<em> </em>of the particle P in the position shown?</p>
<p class="p1"><img src="images/Schermafbeelding_2016-11-08_om_07.50.24.png" alt="M10/4/PHYSI/SPM/ENG/TZ1/08"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The magnitude of the gravitational field strength at the surface of a planet of mass <em>M</em> and radius <em>R</em> is <em>g</em>. What is the magnitude of the gravitational field strength at the surface of a planet of mass 2<em>M</em> and radius 2<em>R</em>?</p>
<p>A. \(\frac{g}{4}\)</p>
<p>B. \(\frac{g}{2}\)</p>
<p>C. <em>g<br></em></p>
<p>D. 2<em>g</em></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">What is the correct definition of gravitational field strength?</p>
<p class="p1">A. The mass per unit weight</p>
<p class="p1">B. The weight of a small test mass</p>
<p class="p1">C. The force acting on a small test mass</p>
<p class="p1">D. The force per unit mass acting on a small test mass</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A horizontal disc rotates uniformly at a constant angular velocity about a central axis normal to the plane of the disc.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>Point X is a distance 2<em>L</em> from the centre of the disc. Point Y is a distance <em>L</em> from the centre of the disc. Point Y has a linear speed <em>v</em> and a centripetal acceleration <em>a</em>.</p>
<p>What is the linear speed and centripetal acceleration of point X?</p>
<p><img 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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">The mass of Earth is \({M_{\text{E}}}\), its radius is \({R_{\text{E}}}\) and the magnitude of the gravitational field strength at the surface of Earth is \(g\). The universal gravitational constant is \(G\). The ratio \(\frac{g}{G}\) is equal to</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\(\frac{{{M_{\text{E}}}}}{{R_{\text{E}}^2}}\)</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\(\frac{{R_{\text{E}}^2}}{{{M_{\text{E}}}}}\)</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\({M_{\text{E}}}{R_{\text{E}}}\)</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>1</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">A communications satellite is moving at a constant speed in a circular orbit around Earth. At any given instant in time, the resultant force on the satellite is</p>
<p class="p1">A. zero.</p>
<p class="p1">B. equal to the gravitational force on the satellite.</p>
<p class="p1">C. equal to the vector sum of the gravitational force on the satellite and the centripetal force.</p>
<p class="p1">D. equal to the force exerted by the satellite’s rockets.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">The mass of a planet is twice that of Earth. Its radius is half that of the radius of Earth. The gravitational field strength at the surface of Earth is \(g\)<em>. </em>The gravitational field strength at the surface of the planet is</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\(\frac{1}{2}g\).</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\(g\).</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\(2g\).</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\(8g\).</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">An aircraft is flying at constant speed in a horizontal circle. Which of the following diagrams best illustrates the forces acting on the aircraft in the vertical plane?</p>
<p class="p1"><img src="images/Schermafbeelding_2016-11-08_om_10.43.36.png" alt="N09/4/PHYSI/SPM/ENG/TZ0/05"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">A considerable number of candidates were misled by A, suggesting that they were used to marking in <em>components </em>of forces directly on force diagrams. This practice only leads to confusion.</p>
</div>
<br><hr><br><div class="question">
<p style="text-align: left;">A pendulum bob is attached to a light string and is swinging in a vertical plane.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">At the lowest point of the motion, the magnitude of the tension in the string is</p>
<p style="text-align: left;">A. less than the weight of the mass of the pendulum bob.<br>B. zero.<br>C. greater than the weight of the mass of the pendulum bob.<br>D. equal to the weight of the mass of the pendulum bob.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div data-canvas-width="694.1737373513404">
<div data-canvas-width="694.3557484378152">As many teachers pointed out the question should have referred to the tension in the string rather than the centripetal force. This clearly also confused many of the candidates and the question was discounted.</div>
</div>
</div>
<br><hr><br><div class="question">
<p>A car on a road follows a horizontal circular path at constant speed. Which of the following correctly identifies the origin and the direction of the net force on the car?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>This was well done by the candidates who correctly identified the origin of the force as the frictional force of the road on the tyres.</p>
</div>
<br><hr><br><div class="question">
<p>Two pulses are travelling towards each other.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p style="text-align: left;">What is a possible pulse shape when the pulses overlap?</p>
<p style="text-align: left;"><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two satellites of mass <em>m</em> and 2<em>m</em> orbit a planet at the same orbit radius. If <em>F</em> is the force exerted on the satellite of mass <em>m</em> by the planet and a is the centripetal acceleration of this satellite, what is the force and acceleration of the satellite with mass 2<em>m</em>?</p>
<p><img 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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A mass attached to a string rotates in a gravitational field with a constant period in a vertical plane.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>How do the tension in the string and the kinetic energy of the mass compare at P and Q?</p>
<p><img 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9dw6voPHvzoOL7m1dXVwnbfvXkzvyf9r5K7bl9VbZxX3lvXrxdjkm96ZXU1D4zwS7OWksEDSskPx0UA8WB7e9bG7fHMIIG/rK9nc3Nz2YPtrakaHU4V57J0aSn7+O7d3OY0gFdfW82DCYKqWXRAGqePs0/gzbU38kF+fPfT7OrzK8WAL19ZznUc21WZInPKT7Df/Bm6NXvP0GTwoGBh+cpyHkAomJjyeWyl+Kwm2XLTNhevD3hIcA138jnnnrb62MpWire5U1tkcRnqs9IlkactQ+6H23+0pT6Rgbxw9Ut55OVHftUrLh6Q4TgpTz3ukySTxpsaR16w4j84H1LZ7kVVH+h8ONbUg7qKI/3SPj9kh4WY9BvLhxsbOVdWLqk0v7CQO1vmDJ1wagcB5pU55ofuSD803+hCmX2orOqrTjgy7oU6GW6Bowu0T6It8pTIk03SPueh3qi8/Axl5A/Uho797Ja2+JGQJ/QfaoMjOyTIcHVlJQ/wwzydsxtBfykWlKnq61HkR5ElHlMVT7UPC2SlvuYm5Qskc53j/MJ8bt/hHNSp1/oyx4n0m189c/zSCy/kOQc//HD8s588cfynt99OlJzMLeSZlfT73z17zA/OpI2/3cl5M8a9b745fvjwYXG9/c+tvIyOzNEvf/7ksa45ch3O1Ruvv37MfKp9GlA92g77pD8lycGRRH3JqjJcI+f7772X35Icyg+PoU5xP9UesiJ/VaIvsYnLMR7qS3fjfK7jPjRO5NP4GUc4LtXrx1E86F9smQvaqmKDzLRdlXb+s5O3o/moKtvWPDjMSmJemTfNK0euGaPmSPoQ24fsL64b2q30UmXgFt9DX8P+KCM9CW1A/ckHyIZUJuwjnp86diu5ZD9xG1xjd8gqGVJluNfPflN9iXvIT2OWHapeONb4nrgwbxrL5t/v5XJrDlNy02Y8D2E52kPGaU2MLZXO7DwQrRH9XV6+kgc+rHrYTo2juNZHRVMgoKJxIm44k7TNFYtPPtt7JI7U5d0h79TC+1yrXeaReSPaV/vUv7ryfB4Jf1nynQP1iPJpF3lI1H/35p/z1UO8MqB9kuTIL4L/IA9thitr2kOviMbD3YygWqNT2vjj6c7IK6uvNapLYeaA7UUS40A+fQfSlCPvcOdOd0Fol7S/n94xQG5+Cwvzebmy//A9R1U7ZfV8f/QE0Ad0mq136TzHcCs+7DW0jzp2S937m5t522qfe2q/TJcowyoZ3eX1lxLnF+bmsvejjxLl48M+VIfjKO328OAwtwlk65fKdg6r6tEudqfE2LAr+bgmPJkv+QKYh75A7dc94kfxcfjlWUuPxwO6v3kvn2QpKvlMBI5UBhPX8fVgBHACPGRi4+Vbk3iLa/HiYk8nciC8WgoTD+QPbmX5fPHg58MdjEhbi5wzj1VJD82lpUs9xTAo5P1yd6cIKrju5xDQJX6MSXJwrn56Oql5oS3bsDhjv72+ngcl4f065zFfPfypy/jqcox54LSdZouA9PbpyD64jgPrWB/q2C129sW//5VDo71Hj07+2q2f3RLU8At9t8ij33qQhvd0njqeh92m+hnFvSr7pf0mPPu1VSYvvk3+TWXwHSyatAjT/Vk49gQPKJ4Mg/c9cSJ6SylmXM7X9QjwIB80qS7vRFNJDgdlxgHhxJg7jkToVe/x1DZlUuWOjh6luqy8x3tXdAvHyEMeR8t57GwrGwky+YsE6o8rDcKxjmzMB7+Dg8PK4mK+UGPlVtmQM4cmIPvQbpAajK91Pzyqbj+7ZcdQ3w/IbvkgGDsqS2qbIKMs0FCZsjbi+6OyW977s2DgGdNvsdEvP5axzvUgPOu0G5aZ1SAhHGN43hM88GcwpJRj5iGCQqIA43TaobCzds5DA2Pmx3mTpPJf/ffr0ro8rHk4E/WGrwzKHIv6V9us4uNdEZVpckQGZInbSwUmTdodV9lBOdaVD8b9bIvdHtLi4vgCprryd62c7IOt+NAXKsCr4qG6VXZLfWyDtvHFSjx4q5Laju29qk5V3ijtll1MHuA8Y8pW4eTjC69eWqoSa6C8QXgO1FGHKvV888DOAgobGoRY6L2d/hJD930cnIAeBPF2oh4UVS2X1cUA9fU0gR5JZdXe4WG1E2JngKQtVtXDsPmqO96aU37ZUe08HTmFQd5tlvVxnvcH5VhXJr6LwPGHXMWalR9zSnCBXY4imKsrl8ulCZTZh/QkXevkrmwxtvnYbpl/9aP2+tkLK3Z+BLtx4jVf6lVfXC68HqXdsnuC/vKMYWxKkovx81dH2IGeNSoz7JF5GYTnsP3Oev0ieEDh8vdlpx+/xQNXUKHdiTjf180JyKAwGq0qFO33a011+QgKwyNhJFzjdHjIyPnwHYsS7fMjyYi1YmElpW1F2o/L8kEi7/Cbfvwjh8k/dqTElqycLX9mRZIcyCUeKj+q4yB91OU4qIw4fP1DOQQLcEFO/h6e1xnavuaDVafJE2C+sA8COtkex1C/y6SsY7f4WvrA18oOaF8fPMZ2yytKlSMQRX+kM8jBqpt74e5jmXzh/aZ2K/8RthGe317/a3758rUXc3ZcoOO87pE/wLcw9rIk++3XV1i/Ls+wjs/7EyiCh9SHknF1PuRDSVFkFJgVbtNoNm6z69cYD+8D9ffc7DrgYEhVRkQ+W5p8MInhaS540OlLa4yGhxIrFvL50b6ciHYgFGjQjv6RFupRjpUC9fR35J/kxt7sFQvblPwIRiQHTkByaEXFioPghL7o9zzSIH3U5TiMvMwBH3XRFzYFJ47YG3nYG3OjwG+Yvlx3eALYBw862R4Pdtltv+9S+tkt0vGgxUbkF1hgoLv4BNkL5/SJTlAOHeGa14ME5LI1yg/yIXFdu035jxRh5EXH8VGMR36FhSv3yGf3jZ8CpLidun3F9erwjOv4uprAY/z9ZnWR9uWidHz9PquJlQIBGu9FnUxABHCq8/MnDwzdm6bjrNstOxHYLsG7dqumaX7aIKuC47LvItogY9dkKLPbYueha0DaMF6txHE6SgQN/Jq+GlB9H2eXADs1Wt3O7ijbPzJWyjhUAgUldojYLSNocOAgKs2P2u1oXtM1xk3AOw/jJh71RwDBu1Jt0+VbkSsrpV8kR9V9aQJTQ6BsBTM1AwgEJeAnWNB3O2Tx4NOruKCoT01gqgmU2a2Dh6meVgtvAtNDoMwJTc8ILKkJdI9Amd36tUX3dMEjNgETMAETMIGhCDh4GAqfK5uACZiACZhA9wg4eOjenHvEJmACJmACJjAUAQcPQ+FzZRMwARMwARPoHgEHD92bc4/YBEzABEzABIYi4OBhKHyubAImYAImYALdI+DgoXtz7hGbgAmYgAmYwFAEHDwMhc+VTcAETMAETKB7BBw8dG/OPWITMAETMAETGIqAg4eh8LmyCZiACZiACXSPwNT+89TdmyqP2ARMwARMwAQmQyD+P1k/Phkxhu81HsjwLboFEzCB8yRQ9m/kn2efbtsETGA4AmV269cWw3F1bRMwARMwARPoHAEHD52bcg/YBEzABEzABIYj4OBhOH6ubQImYAImYAKdI+DgoXNT7gGbgAmYgAmYwHAEHDwMx8+1TcAETMAETKBzBBw8dG7KPWATMAETMAETGI6Ag4fh+Lm2CZiACZiACXSOgIOHzk25B2wCJmACJmACwxFw8DAcP9c2ARMwARMwgc4RcPDQuSn3gE3ABEzABExgOAIOHobj59omYAImYAIm0DkCDh46N+UesAmYgAmYgAkMR8DBw3D8XNsETMAETMAEOkfAwUPnptwDNgETMAETMIHhCPQEDx/cupXxv99M/d65cSM7OjoarjfXbiWBw4OD7OVr17L9vb2JyvdgazuXo44QyBzr6x+efS778M5GnepZ3BdjR+/r1q/VScNCyJSyPe499eQvJipbw6G4+JgI4JcnqbMMs6n/wG5/+8yvC11Ht7lXJ6X6ov6ba2t1qp9Lma7abU/wILKf/ePz7Nvvvyt+XO/u7GYvX3tRRXycIQLbW9v5/E56SNvbW9n+3n5fMTBWnA8P/FBXLy8vZx9tbOQBSL9At25ffYU5hwJvXb9e2J7s8JXV1dzB8rBwMgEIoP/3721OHEZd/8GDH7vlWfLq6mqh4+/evJnfk01XDahuX1VtnFde1+w2GTzEcBcvXsyurqzkyjrp1Wksm6+7RQAHxAN06dJS9vHduxm6qfTqa6t5MEEAMmsPWcbGWAmcnExgGgm8ufZGLvbHdz/Nrj6/Ugzh8pXl3G7n5uYylSkyp/xklu22VvCg+WNy5xcWdOnjCAiwQmbLTdvVvD7gwcc1gRr5nHNPW31szyvFW/epLcy4DPX1ECJPW4bcD7f/aEt9IgN54Yqe8sjLj3y2D8N8yciR/lSOshqTykgmjTc1Dsp+uLGR90GUn0roJ46J/soC3aq+Dg9PXuFIRmQmYAlTFU/KKZ9VIX2prWEDmvmF+XzsZeMKZfT5+RNARzW32InmXbpbZR8qq/qqE0rNvdD+wldX6Dftk2iLPKXY1tDhUGdUXn4GGaiTSuh+6J8oG9oEbfEjIU/oP8L2sAVkYBHKcySV2I2gvxQLylf19Sjyo8gSj6mKp9pnfLbb1Owk7h0H6f333jv+2U+eON775pvg7vHx9j+3jn/zq2eON/9+r+f+pC6QcVbS73/37DG/gx9+yIe08bc7+RxoHh4+fFhcMw8kHV964YXjX/78yeKa+1z/6e23CzxvvP56PndqnwzVo22S+gznXfc4kqgvWfMbx8f5NXKiNyTJpXwdaTcsp7LIqrrcQ1buVSXy0cWqtPOfnbw/yZ4qG/clGZFTes6Y6YtxK9XhKTuinpjSZsxAbeoIP8qUyU17/fiorTYeGdusJGyMuZDOy/bC+WO+wjlXWdmfrlU3tFvZn8rALb4nnQ31RbpPH0rqTz5A+qkyYR+qoyP6r3LcS/kBySVdV93wiN3AQjKEeeE5TMP+wjzOU31Rh7ZDfhpz7OPCsaot3RMX220vddimUnLngahNETFHokkiwrJVZSIm8a0aBBSNE3FrR0fbXHF18tneI3GkLu8OeRce3uda7TJnRN9E+2qf+ldXns/n8sud3bib/Jp6RPm0izwk6r9788/56iFeGdA+SXLkF8F/7m9u5vXD3QLK0iZjqJvQP34LC/OVVebmLuT5+/vNPwBl10JbqsjH6xFWTPTblCdc9FqFNpuONxwk84EczK/TZAmgB9gYcyqd5yi9iaUL7aOO3VIfm6FNtc89tV+l1+wmoGe80lPi/MLcXPZ+9FHi5eUreZGwD9XhiKyMNbTb2CbC8lXnhweH+Y4D9fulOt89xW3QLt9OKDE2bFY+rglP260oVh8fT2XzEZqcHvkoEEqJA1sIHmKpur5XnwBOYG5ursdBUJsP/8JtRu4tXlzsaVgOZPk0oFAmD7sPbmUnHyW9dvJREkbE3JE4xylUJT3Ql5Yu9RRDJ5D3y92dIqjgup9DkFHnzujw5BUAfTDGUM96OpvQxfx8r3NjfEqMkw8Y6/KM5yxsS22mjsyV5kv59I0TVzCn+z6On4Ds4+nIPriOA+vYPurYLTbxxb//lQ+M9h49Ovkrt352i5/mpyAjJIMu6kGq+7F+6r6OtMMPO5U+cq7xq1wbjvFYYltrwrNfW2Xj7ZrdJoOHGA6O65XV13Kl2d3dOfOwi8v7uh4BHkKDJtXlnWgqyeGg0DggjAlHwJGHedX7d7VNmVS5o6NHqS5L7+HQXrr2Yu7YCG5wjkT390trpDOQnd/BwWG6wOldyUegO+o0CM+mMjhIaEpsvOVlH9rhUu/xte6HR9XtZ7fsGOr7AdntX9bX8+8NwvbCc7VNkFEWaKhMWK/qnO8bCBawWWyXAInzOEiqaoM8vtch8MAX9Fts9Mvv11cqfxCeqXaq7nXNbmsFDwCTYTRVvirYXc/jQQhPfpw3SSr/1X+/Lq2L0WPkrFbDrccyx6L+1fbt9fWRBIoEIHzQFMvKx4/qS333O7LFivxVuxbsjMas0LIAABruSURBVJAWF3/8S4x+7dbJH5RnnbZdZnoISGfZiudBqqSgVdepo+rGthCXxWZom11gJR68VUltx/ZeVacqD9+Bzsd+ILWgqGqHPHYxeYDzp5Zlu2fk4wuvXlrq11zj/EF4Nu6kYxWS3zykGOg91KgdcqqvrtwTy3g7UQ+/Kg5ldTFAvlPhyAOWpLJqj78oqEqsMEjaYlVZDJuvurWFqfv9jugOqwk5N8rTFgFF08T3IbQTyiC5WCUxboILHG/Zu9ymfar8oDxV38fZIFBmH9KPqlHKFmObj+0WnVY/ak8+WNfxERvjxwM/TnzHxq9Jkv0/HT3M+8mR6oPdE2ySbw8Ym5LkYvxaTOgbEZUZ9si8DMJz2H5nvX6t4IGIVx+9oQROoyEgg8JotKpQtN+vB9XlIygMj4SRcI3T4cEp53N/817RHO3zI8mI9VBnJaVtRdqPy/5xbS3/8KrpR3s4H2STnPRBW/QvGZBHcnBPPArBT09wjvpHZfQnaNTjb8d5naGtXj7urEp1+orr1+UZ1/P1bBFAB7EPglTpNEf+gbJ+qY7d8pClD1bpsgPa1wePshnpMK8oVY7gGluTHSAPq27uhbuP/eQkX4FOOC7apS2Sgn/JIf9R1vbt9b/mWfxjg9r9xG7Z1Va7+BbGXpbq9hXWr8szrOPz/gSSwUP81xa8n+Mjkk/yiT7ZXkeBWeE2jWb7i9StEhgP7wP199zsOuBgSFVGRD5bmnwwieFpLnjA6UtrjIYHLSsF8vnRvpyIdiAUaNCO/pEW6lGOoJF6+jvyUAfqzhRtIVcoJ7IxThyQnCErDr4Kpy/6LUvIywdQtCFd5YgDJY/2GIeCpFQ7dfsK69blGdbx+WwSQKd50EmnebDLbvt9a9PPbiHGg5YHpfwCCwx0Fp+glT/n9ImeUw6955rXDNiVbJ7y3FPwW3dGeL3Aj/bVFjLJf0iOlP9I9YG82C1yMB75FXZKuEc+O4r85BPidur2FderwzOu4+tqAo/x95vVRdqXi9Lx1fusJlYKrDR4L+o0GAEcEH85IYc+WCuuNUoCs263rKaxXYL3pg/qUXKe5rYU8Jd9FzHNY5tW2cvsNrnzMK2DnDa5FdFrCw/5CRr4NX01MG1jP295WR05cDhvyt1sn5UyDpVAQYldL3bLCBocOIhK86N2O5rXdI1xE/DOw7iJR/0RQPBOUdt0+VbkykrpF8lRdV+awNQQKFvBTM0AAkEJ+AkW9P6fLB582tIPivrUBKaaQJndOniY6mm18CYwPQTKnND0jMCSmkD3CJTZrV9bdE8XPGITMAETMAETGIqAg4eh8LmyCZiACZiACXSPgIOH7s25R2wCJmACJmACQxFw8DAUPlc2ARMwARMwge4RcPDQvTn3iE3ABEzABExgKAIOHobC58omYAImYAIm0D0CDh66N+cesQmYgAmYgAkMRcDBw1D4XNkETMAETMAEukfAwUP35twjNgETMAETMIGhCDh4GAqfK5uACZiACZhA9wg4eOjenHvEJmACJmACJjAUgan9f1sMNWpXNgETMAETMAETqE3g2++/6yn7eM/VFF3EA5ki0S2qCXSSQNn/YKeTMDxoE5gSAmV269cWUzKBFtMETMAETMAE2kLAwUNbZsJymIAJmIAJmMCUEHDwMCUTZTFNwARMwARMoC0EHDy0ZSYshwmYgAmYgAlMCQEHD1MyURbTBEzABEzABNpCwMFDW2bCcpiACZiACZjAlBBw8DAlE2UxTcAETMAETKAtBBw8tGUmLIcJmIAJmIAJTAkBBw9TMlEW0wRMwARMwATaQsDBQ1tmwnKYgAmYgAmYwJQQcPAwJRNlMU3ABEzABEygLQQcPLRlJiyHCZiACZiACUwJAQcPUzJRFtMETMAETMAE2kLAwUNbZsJymIAJmIAJmMCUEEgGD4cHB9kHt25l/K849fvDs89lH97ZmJJhWcwmBJjvl69dy/b39ppUG3nZB1vbuRxVDcd6Kf3kiI7ev7dZVT3X4Xdu3CjKoNPUnfTYEch2V0yLTyZIoI4dSry266z8xdHRkUTuOXI/9CHxOb6irG5PQx28OBM8oDi/febXuTP94t//yr79/rv8d3l5OQ8o3lxb6yCm2R7y9tZ2truzO/FBbm9vZft7+7Xk+Owfnxe6KR2dm7uQYexVAcRHGxutdAah3YVjw+6QmeDOTqyWarjQkATq2uEs6ezlK8tn/Mnt9fXsJJB6cUiis1m9J3ggisT5Ll1ayj6+ezebX1goRv3qa6sZP2DyczKBthH4y/p6Njc3lz3Y3mqbaJXyxHa3ePFiUR6bI5ggqAp3TIoCPjGBCRDogs4SUFx9fiVfSLdhcTWBaa7ssid4+PB0VfbK6mvJSq+sngQQyUzfHIgAq0l2c7RdxgqTh4S20rWtxj12hLjP9ryStuVUP/VqKS5DfQWA5PEjcT/cWaIt9Un75IWrX8ojLz/yn3ryFz35kpHjSQR/Uk6yhg9DyaTxpsYRtpc6J3AgpXYv1C5HZEGG8FXFg+2THbeUbLSJswzniXKMm/tKjIEfssOCMhz7jUV299b162qq50gQjxND7lDmnkK+GCuB2Dakv6EQcZlYF8hHR+JyXDPPsivKyEbVfqyP2GnVjltZvViPNQ7ZC7Kk0ih1tso/0bfyGR/yITO/0H9QDplDZpwfBPaZGke/excuyKdM9pVuPzknkn8cpN/86pnjX/78yeBOO09/9pMn2inYAFL9/nfPHvM7+OGHvPbG3+4cMz5+e998c/zw4cPievufW3kZHV964YV8vnTNkfn709tvF5K88frrx8yr2idD9WibpD7pT0n3OJKoL1lVhmvkfP+99/JbkkP5OtJuWI77klV1uYes/fSP8mKj9nVkPNRnfGWJfPpR0jhhpPEjWywv+WG7VTwoJ7bMBW2VsUEOZKL9qrTzn528Hc1HVdm25sFhFpL0Y/Pv94rhoFOMT3YmvQrnPb6n69D+pS/ohOqqnPpDt9CXsF5cphAsOqmjx3XscFQ6S1/IJG6IG/sn2TzjlY3CImWjKSaUkz1GOAr/GvqEsIz6xv66msrstmfn4dHRUXbhdPU2kUimY50SSbPCeHV1tXhFxDZ1uG0tJKw+2UYjcaQuW2nsBoX3uVa7rE5YrV5dWSnap/7VlefzKP3Lku8cqEe0T7vIQ6L/d2/+OZc3Xo3QPkly5BfBf+5vbub1w5U1ZWlzVNuBrDr+eLozUrZzFoh05pQ5EPdYNnjCJJQf2Xm9x/zRd5jevXkzf33CPdol7e+nVy7U5bewMB82ceac7zmq2jlTwTfOjYDmkvlXur2+nr8zRy9I6Dx6FNoEu0ck1c8vcnv80T4vL1/Jb4d2jQ3Ozc0V9bBN9BF7VH+UoS92BMpSUz0ua2dUOtvUP+FnZKOwDP0HPkk2GjJR+bKxVN2HFz/mOZzrqjpdynu8S4Nt21hxIjiF0MEgIx/JxdvTixcXe8SXA1o+DSiUiZJ/cCvLH8o4FD4mxNhxOCTOMYiqpAf60tKlnmIYIvJ+ubtTBBVcy1h7CgcXPExJufM6PNnmpw/GOKhxs30ZJ8aOEx/E0GO+jEsJR8UPecWRc3FSOY4xDwfjIZ3ZOH966VL+qoEPjR89OjoTnDNKPjYn8VCjDKnM7kLdU5CYV4j+g+2S0DtsLradxcWL+WKB/JQNNNHjqOtzuWQMTfxTyAmBQhuVL43HnfKlqcHkrzK3fnomCx8aLhrOFOjwjZ7gAUfH7oPTeAjIGQzSm+ryrjOV5LB42OHAMDScB0ce5vH7wrANtU2ZVLmjo0dh8b7nrAheuvZivjLAuHF6rCLu961ZXoCPCGPnWV56+Bzen+KU6ZMx8ADhPN6FadoT88Hv4OCwsqqYLwQfMVdWcOa5EWD+CVJ3d3fygEA6ED5oeBjp+yHZHR/0okfDJnw0Nsp7/1Sq8uGj0ONR6uwg/ik15mHvsYBjTp3qE+gJHljFYghlkSvNYhR8hIKhOA1HACPECfDjvElS+a/++3VpXeaR+QydGn2UrYDUv9rGmOJdEZVpciQAwaHFsrLFqr6atDfusrKJmEcqsBpENhgzJ1U7Mez2kFhdOk2eAHPGj0CceUOXFUSwUkU3CC4JcpUIokeRWOSxag/brtPuKPV4FDo7qH+qM1aXOX8CPd888J4NZ/7Rxp1kz2E0nSzgm40I6EEQf3ugB0VVY2V18+23J37a82W+yqq9w9NXB7qOj9r606sR5RPk8MW4tu51v9+Rv37A2YWBAm1VrZD6tTnOfHF4OnjHTf+pv+oYRC6+i4BNyFWsWSkypwQXPIxw2k7tIsC8EFgyhyysCCaYP9mRpB2VvtAugQh9hAn9wT7j+yozSj0ehc7CidTUP2k84ZFXrIwbWwlTHV8alvd5fQI9wQPKTyRNRIjT0uTSHIrJNhyK612H+oCrSrKdmW99b5x87ENZrQ6q6pGnuu/fulUYDPPFNXPEQ0bO6/7mvaI52tcKSU5GD/XDg8PcKfGgp/24LB8ksuohyGySeOgimwwbx6ePGyUD7UkO7o1qlRbLifyMkxT2HZcLr+Xc+MealLAF2cewQRC8Y7uDxcd3P81fZ2j7mw/knCZPQA9p6TMSYSvoEw8xbJo55ZsI6TFlsU1SXb0rG6k+wsWG1D7BJTJoAZiqW1eP69jhKHS2rn9KjSW+J3/IDpCYwINnmdP5EOgJHuiChw7bYTjZ8G9qmQS24/jHo5QwCN67hSsm5flYjwAPiPmF+eLfUyBSxhBIGGhVYp541cTDhXlgvjBIzRFO7GRbdT/Ppwzt6wMg7UAo0KCdN9feyLukHuX4apx6rGhIn9z9tHjIV8kW5tEWcoVyIhvj5MErZ8p3EOgdfdHveSQcLw/9nEVNx0KwzA9nRD1+OFhxHMWKkjngIzu4yO444gjJgxFzgwxOkyXAvPOQ5tWE9AF9Rc9lu7fX/5rriP6dFB5q6Dc2Pay+0IZ8tNrHByNX1cKurh7XtcNhdbauf6o72ylfWsWjbrsulybwGH+7ms5q710Mlq90ZzXhlAjM+EbAyQREgAfE/PzJrpDuTdNx1u12muZiXLJOu86Oi1Ob+ymz2zM7D20exKzJppVs+AEjQQO/pq8GZo2Nx3OWACtLrWzP5vqOCbSPgHW2fXMyKol6/tpiVI26nXoEtKVGdK4v99mSJHBQXr2WXMoETMAETMAExkfAry3Gx9o9mUCnCZRtf3YaigdvAi0nUGa3fm3R8omzeCZgAiZgAibQNgIOHto2I5bHBEzABEzABFpOwMFDyyfI4pmACZiACZhA2wg4eGjbjFgeEzABEzABE2g5AQcPLZ8gi2cCJmACJmACbSPg4KFtM2J5TMAETMAETKDlBBw8tHyCLJ4JmIAJmIAJtI2Ag4e2zYjlMQETMAETMIGWE3Dw0PIJsngmYAImYAIm0DYCDh7aNiOWxwRMwARMwARaTsDBQ8snyOKZgAmYgAmYQNsITO3/26JtIC2PCZiACZiACcwqgW+//65naFP7f9WMB9IzKl+YgAm0jkDZ/2CndYJaIBMwgYJAmd36tUWByCcmYAImYAImYAJ1CDh4qEPJZUzABEzABEzABAoCDh4KFD4xARMwARMwAROoQ8DBQx1KLmMCJmACJmACJlAQcPBQoPCJCZiACZiACZhAHQIOHupQchkTMAETMAETMIGCgIOHAoVPTMAETMAETMAE6hBw8FCHksuYgAmYgAmYgAkUBBw8FCh8YgImYAImYAImUIeAg4c6lFzGBEzABEzABEygIODgoUDhExMwARMwARMwgToEHDzUoeQyJmACJmACJmACBQEHDwUKn5iACZiACZiACdQh4OChDiWXMQETMAETMAETKAj0BA8f3LqV8b/fTP3eXFvL9vf2ioo+mR0ChwcH2cvXrk18fh9sbedy1CGLzLG+/uHZ57IP72zUqZ7FfaHb6H3d+rU6aVgImVK2x72nnvzFRGVrOBQXn2ICsW1UDWVYO6xqexR58hFHR0fJ5rhfZnPcf+fGjaysbrLBDt3sCR407tvr69m3339X/L7497+yR0dHGc55d2dXxXycEQLbW9utmNft7a1sf2+/L1Wc22+f+XUe7Hz2j88LPb28vJx9tLGRByD9DL5uX32FOYcCb12/XoxJdvjK6moeLOHMnEzgPAnUtY1R2OF5jqNJ25evLJ+xOZ6DJ4HUi02a6kzZZPAQj35+YSH7+O7djKOdV0zH1+MkwEoHHVy6tJTr5OLFi0X3r762mhFMEIDMmp4yNsaKM3MygUkT6IIdElBcfX4lX6R40XxW42oFD6p2dWUlQ2nu39vULR+HJMAKmVdC2jrj9QEPPq7ZSte2GvdYbXOfHSAScxHWJT81N9q6Ux/U10OIPH4k7tOeElv46pO65IUresojLz/y2VoP89UOx5MI/qSc5Agf8JJJ4y17ffDhxkbeB6vzVCLAxeDpr+w1W1Vfh4cnr3AkI2ODc5iqeFKO9vkxBpiITdmYwrarzucX5vOxl42rqq7zRksgtg3pVNhLXCZ+9UQ+uhGX45o5ll1RRjaq9uvavsrr2CY7lEz97En5+DY4yzZD/0Fb+I6QGecHke2qz7rHCxfm8qK2uQSx4yC9/957xz/7yRPH2//cCu7+eLrzn508/09vv/3jzQmcIeOspN//7tljfgc//JAPaeNvd3LGjHHvm2+OHz58WFxrXjhy/ze/eiZZd/Pv9wo8b7z+el5O7ZPx0gsvHP/y50/mbXCtPulPSfc4kqgvWVWGa+REb0iST/k60m5YTmWRQXW5h6zcq0rkM+6qJD2V7KmycV+SETnFjzGLsdqow1Nc4Mw8kbAZ2i5jRBnyKFMmN+324yM523hkbLOQNE/SE8aEXjA+2ZnsJ5zv+J6umVfVk54wz6qrcuqvru3HrKXjoc3RB32F92LbiNvhepR2iI1p/LQd+ydkgy2c5KNgwb1Qbtmq2hI3yskO47Fwn3zGnErqG5/S1QSfVGq08zA3dyEPP8pWl4nYxLcqCBBJE9G+urqavxKiqLan42qsqNlGI3EkGmf18e7NP/fUJY/VOYl8VhrsGFFf6erK83mU/mXJ9yvUo33aQh4S9ekLeVkZhYn2SZIvzOP8/uZmXj/cLaAsbTbZDkTv+C0szMdd9FxLT/f3m3/gy64FPxLy8XqEMdNvU57v3ryZzc2drFyYY9IgMlGP+UAOvn1wmiwBzSG6oXT79Dsx2Rk6j46HNiG9Un3VDe3z8vKV/DbzrLrYIHqkenVsX22Hx7bZYVN7gpNeU8Iy9B/4JNrDx2gOynxpyKTqHP/Mj3kO57qqTpfyHu/SYNs2VpwBTkFOQvLx4R8PijAtXlwML/OHLkYiY1Lm4uLJe3Eeyig8H9zx4MPhkDjHIKqSHuhLS5d6itEX8n65u1MEFVzLWHsKBxc8REn0y2sBEn0wxlj+PHOC/5mf/zHIQgzGp8Q46/KMuVwI2lF7ZUfmSvOlMvSNY1Qwp/s+jp/A00uX8gCaD40fPTo6E5wjER+Zk3ioUYZUZnehbSvwzStE/8F2SdhOHduPqmdts8Mm9sRYQk5ch7YpXxo/5FO+NObCNYus/9366Zks7C1c9Jwp0OEbjYKHo6NHOaqFYBXbYXZDD13OYJCG+OsX6vP+L5XIJ/EQwoFhaETrHHEi8fvCsA3JRZlUOelBWKfqnBXBS9dezFcGGDcBA6uI+1WVEnnIzu/g4DCR++MtyXceejoIzx8lq3fmIKEep0mVQofZadjd3ckDAu3EhQ8aHkb6fkh295f19fyd/LBy17X9uJ822uE47CnmkLpmAcecOtUn0Ch40GqY1a3T8AR4EPKg5sd5k8RKlsidvy4oS6xQcGyhU6Ns2QpI7UgWjCneFVGZJkcCEBzeV//9umecvF5RX3XbQx7kr9q1YGeENGo9HZRn3bG53PQQQA/5EYiji+iyggiCP3SeIDm0Tx7eo0h1bD/VT9vs0PaUmqXpudfomwe9MxvFA2V6EJ2fpHq4xd8e6OFX1TOrH5yRdglUlkhef/VQFuzp1YHqxEdt/ekdq/Lpi7bpo0niTycJdMJAgba0O9KkLb4doJ1QBsnF19Ws+AgucNyj1tNBeTYZn8tOHwF0jUAbveTrfvQEnZQdaUR1/g0Tla061rH9VP222eEo7YlXrDDH/sNUx5eG5X1en0Ct4IFJxjHj7G+v/7V+6y5ZSYDtTBwPqxatSli9EJH3S/oA749ra0VdHprU52MrHJmc1/3Ne0Vz5GuFhLGR9FA/PDjM2+JBj2xxWfpi1dP0o72nTz86lGEzVtqif8kQysE98SgEPz1BNlZ7MEIn0U3k//jup/nrDG0V83FnVdKYq/qK69flGdfz9WwRUIAufWZ02Aq6xEMMm0ZP+SZCekzZ94PvjoYhUsf2U+23zQ5HaU/D+NIUK9/rTyAZPOCA9be0HPnbWoyBLTgMQwmDID9cBSrPx3oEeOjx9/v69xSIlDEEEszLkuaDh7nqMg/h+3Lm6mRbdb+YT9rXB0DagWCFjiEz72+uvZF3ST3KsdvEHLPjQPrk7qdFsFEmW3yfttS+9AnZGKfe31KH7yAYD33Rb1lCXj5Iow393TdHHDV5OHHGoSAp1U7dvsK6dXmGdXw+ewSwCwJoXgOgz/zQV/RctssiiwBVtskCAZ3Dbofdgahj+ynqbbPDUdtTypf6A+OUJozm3mP8/eZomhpfKxgrX73PasIpEZjxjYDTYAQIpPjLCTnzwVpxrVESmHW7HSWrWWnLdjj9M1lmt8mdh+kf7nSMgJVxvmoJ/nSSoIFf01cD0zHi8UnJ6tCBw/h4uycTSBGwHaaozMa9Rn9tMRtDbs8otKVGdM5uA4ktSQIH5bVHWktiAiZgAiZgAicE/NrCmmACJjAWAmXbn2Pp3J2YgAkMRKDMbv3aYiCcrmQCJmACJmAC3SXg4KG7c++Rm4AJmIAJmMBABBw8DITNlUzABEzABEyguwQcPHR37j1yEzABEzABExiIgIOHgbC5kgmYgAmYgAl0l4CDh+7OvUduAiZgAiZgAgMRcPAwEDZXMgETMAETMIHuEnDw0N2598hNwARMwARMYCACDh4GwuZKJmACJmACJtBdAg4eujv3HrkJmIAJmIAJDERgav956oFG60omYAImYAImYAKNCcT/J+upDB4aj9oVTMAETMAETMAERkbAry1GhtINmYAJmIAJmEA3CPw/7X5jwF3HWLIAAAAASUVORK5CYII="></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A cyclist rides around a circular track at a uniform speed. Which of the following correctly gives the net horizontal force on the cyclist at any given instant of time?</p>
<p><img 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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The force <em>F</em> between particles in gravitational and electric fields is related to the separation <em>r</em> of the particles by an equation of the form</p>
<p>\(F = a\frac{{bc}}{{{r^2}}}\).</p>
<p>Which of the following identifies the units for the quantities <em>a</em>, <em>b</em> and <em>c</em> for a gravitational field?</p>
<p><img 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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>An electron moves with uniform circular motion in a region of magnetic field. Which diagram shows the acceleration <em>a</em> and velocity <em>v</em> of the electron at point P?</p>
<p><img 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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A mass connected to one end of a rigid rod rotates at constant speed in a vertical plane about the other end of the rod.</p>
<p> </p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" 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" alt></p>
<p>The force exerted by the rod on the mass is</p>
<p>A. zero everywhere.</p>
<p>B. constant in magnitude.</p>
<p>C. always directed towards the centre.</p>
<p>D. a minimum at the top of the circular path.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two particles, X and Y, are attached to the surface of a horizontally mounted turntable.</p>
<p><img 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" alt></p>
<p>The turntable rotates uniformly about a vertical axis. The magnitude of the linear velocity of X is <em>v</em> and the magnitude of its acceleration is <em>a</em>. Which of the following correctly compares the magnitude of the velocity of Y and the magnitude of the acceleration of Y with <em>v</em> and <em>a</em> respectively?</p>
<p><img 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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>There was much guessing here with even A and C being popular options. This would suggest that many candidates had not understood the situation – surely a fly near the hub of spinning bicycle wheel is going slower than one perched on the rim. So A and C should have<br>been instantly discounted through the application of commonsense. Since the velocity and also the radius is changing from situation X to Y, it is easier to use the formula a = ω2r (where ω is constant) to ascertain that the acceleration at Y is greater. Alternatively, you can imagine that Y is on the outer edge of a fairground big wheel in order to realize that the forces upon you (and hence acceleration) will be greater.</p>
</div>
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