Motions · CAPE Physics Unit 1

225 past-paper questions on Motions, part of Mechanics, from every CAPE Physics Unit 1 paper on Quelpr.

1. Q31 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1Which of the following graphs applies to a body in motion but with zero acceleration?
2. Q41 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1A body of constant mass will have uniform acceleration if the resultant force acting on it
3. Q51 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1A body moves in a circle of radius r with centripetal acceleration, a. Its velocity is v, and angular frequency is \omega. Which of the following equations for a are correct? I. a = \frac{v^2}{r} II.…
4. Q61 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1A constant force acts on a mass m, which is initially at rest. The velocity acquired for a given displacement is proportional to
5. Q71 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1A racing car is moving round a circular track at a constant speed of 60\text{ m s}^{-1}. The radius of the track is 500\text{ m}. What is the ratio of the centripetal force to the weight of the car?
6. Q81 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1A body of 2.5\text{ kg} initially at rest is acted on by a net force directed along the x-axis which varies as shown in the graph below. The magnitude of the momentum obtained would be
7. Q121 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1A stone is thrown from A to D. The stone follows a parabolic path such that the highest point reached is B. C is a point just before it lands at D. The vertical component of acceleration of the stone is
8. Q31 mark · multiple choice· CAPE Physics Unit 1 · 2007 (Specimen) · Paper 1Item 3 refers to the figure below showing how the displacement of a particle varies with time. Which of the following graphs correctly represents the dependance of velocity with time for this motion?
9. Q41 mark · multiple choice· CAPE Physics Unit 1 · 2007 (Specimen) · Paper 1Item 4 refers to the diagram below. A stone is thrown from a building at X and follows a parabolic path as shown above. The maximum height reached by the stone is P. The vertical component of acceleration of the stone…
10. Q71 mark · multiple choice· CAPE Physics Unit 1 · 2007 (Specimen) · Paper 1A monkey of mass 20\text{ kg} rides on a 40\text{ kg} trolley moving with a steady speed of 8\text{ m s}^{-1} along a flat surface. The monkey jumps vertically to grab the overhanging branch of a tree. At what…
11. Q51 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1Taking upwards as positive, which of the following graphs BEST describes a ball that was thrown upwards and then came back down to the same height?
12. Q61 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1A tennis ball is given a horizontal velocity of 8\text{ m s}^{-1} when it is hit at a height of 1.8\text{ m} above the ground. It is in the air for
13. Q71 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1An object of mass M travelling with a velocity u collides with a stationary object of mass 2M. After collision the two masses stick together and move with a common velocity v. The magnitude of v is equal to
14. Q81 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1An object moving at constant speed in a circle of radius r turns through an angle \theta (measured in radians) in a time t. The velocity v along the tangent is given by
15. Q91 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1A hammer thrower makes 4 complete revolutions in 3.2\text{ s}. The distance between the hammer and the thrower is 1.5\text{ m}. What is the centripetal acceleration of the hammer?
16. Q121 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1A marble rolls off the horizontal surface of a table and falls to the ground. Which graph shows how the resultant vertical force acting on the marble varies with time before it hits the ground?
17. Q21 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1An object of mass, m, travelling initially at a velocity, u, is acted upon by a force, F, for a period, t, until it is travelling with a velocity, v. Which of the following equations can be used to determine…
18. Q31 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1Two balls collide and stick together. Which of the following is true?
19. Q41 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1A bob is attached to a string and whirled in a vertical circle at a rate of 2\text{ rad s}^{-1}. The mass of the bob is 0.5\text{ kg} and the distance from the top of the circle to the bottom is 4\text{ m}. What…
20. Q51 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1A car of mass, m, shuts off its engine at the top of a hill and 'coasts' downhill as shown in the diagram. If frictional force opposing the motion is F, the acceleration of the car is given by
21. Q71 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1A car with mass, m, moves round a circular road of radius, r, at a constant speed, v. Which of the following statements is/are true? I. Its velocity changes and the magnitude of the acceleration is…
22. Q91 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1For an object undergoing projectile motion which of the following BEST describes the vertical and horizontal components of velocity?
23. Q61 mark · multiple choice· CAPE Physics Unit 1 · 2009 · Paper 1Item 6 refers to the diagram and information below. A trolley is travelling at a uniform velocity, \mathbf{v}, along a horizontal path. A lump of plasticine is released from a point directly above a point P on its…
24. Q71 mark · multiple choice· CAPE Physics Unit 1 · 2009 · Paper 1A man throws a ball with velocity, v, through the air towards his friend who is 60\text{ m} away. Which of the following graphs represents the vertical component of the velocity of the ball whilst it is in motion?
25. Q81 mark · multiple choice· CAPE Physics Unit 1 · 2009 · Paper 1A light spring is permanently connected between two blocks of wood on a frictionless surface as in the diagram below. The masses of the blocks are 2.0\text{ kg} and 5.0\text{ kg} and they can move freely along a…
26. Q51 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1If the average velocity of a particle is zero, then the distance it has travelled
27. Q61 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1A tennis ball is given a horizontal velocity of 8\text{ m/s} when it is hit at a height 1.8\text{ m} above the ground. It is in the air for
28. Q51 mark · multiple choice· CAPE Physics Unit 1 · 2011 · Paper 1If the average velocity of a particle is zero, then the distance it has travelled
29. Q71 mark · multiple choice· CAPE Physics Unit 1 · 2011 · Paper 1Item 7 refers to the following graph which shows the motion of a ball as it falls from a height h, and bounces once. What is the height from which the ball was released?
30. Q81 mark · multiple choice· CAPE Physics Unit 1 · 2011 · Paper 1Item 8 refers to the following information. A light spring is permanently connected between two blocks of wood on a frictionless surface as shown in the diagram below. The masses of the blocks are 2.0\text{ kg} and…
31. Q91 mark · multiple choice· CAPE Physics Unit 1 · 2011 · Paper 1A rocket in gravity-free space is burning 5.0 \times 10^2\text{ kg} of fuel per second. The exhaust gases are expelled at 8.0 \times 10^3\text{ m s}^{-1} relative to the rocket, whose mass is…
32. Q51 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1A signal station sounds its horn and flashes a light to warn an approaching ship. The ship hears the sound 10 seconds after the flash is seen. If the speed of sound in air is 340\text{ m s}^{-1}, how far away from the…
33. Q61 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1Which of the following is NOT an equation for uniformly accelerated motion?
34. Q81 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1Which of the following pairs of conditions is true for an inelastic collision?
35. Q91 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1Which of the following equations gives the correct relationship between impulse and momentum?
36. Q101 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1A force of 200\text{ N} acts on a trolley of mass 2\text{ kg} causing it to move off from rest and reach a speed of 14\text{ m s}^{-1}. The rate of change of momentum of the trolley is
37. Q111 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1A car with mass, m, moves round a circular road of radius, r, at a constant speed, v. Which of the following statements is/are true? I. Its velocity changes and the magnitude of the acceleration is…
38. Q71 mark · multiple choice· CAPE Physics Unit 1 · 2013 · Paper 1For an object undergoing projectile motion which of the following options BEST describes the vertical and horizontal components of velocity?
39. Q81 mark · multiple choice· CAPE Physics Unit 1 · 2013 · Paper 1The masses of the blocks are 2.0\text{ kg} and 5.0\text{ kg} and they can move freely along a straight horizontal track. The spring is compressed and the blocks are released simultaneously from rest. When the…
40. Q111 mark · multiple choice· CAPE Physics Unit 1 · 2013 · Paper 1A car with mass, m, moves around a circular road of radius, r, at a constant speed, v. Which of the following statements is/are true? I. The car's velocity changes and the magnitude of the acceleration is…
41. Q61 mark · multiple choice· CAPE Physics Unit 1 · 2014 · Paper 1A tennis ball is given a horizontal velocity of 8\text{ m s}^{-1} when it is hit at a height 1.8\text{ m} above the ground. It is in the air for
42. Q81 mark · multiple choice· CAPE Physics Unit 1 · 2014 · Paper 1For an object undergoing projectile motion, which of the following pairs of words BEST describes the vertical and horizontal components of velocity?
43. Q41 mark · multiple choice· CAPE Physics Unit 1 · 2015 · Paper 1A metal case is dropped out of a hovering helicopter and plummets 80\text{ m} before hitting the ground. What is its velocity just before it hits the ground?
44. Q51 mark · multiple choice· CAPE Physics Unit 1 · 2015 · Paper 1An object falls freely under gravity, g, from a height of 12.5\text{ m}. Which of the following equations can be used to determine the time, t, taken for the object to reach the ground?
45. Q81 mark · multiple choice· CAPE Physics Unit 1 · 2015 · Paper 1A ball is thrown vertically upwards and then caught at the same level from which it was thrown. Which of the following graphs would BEST represent the variation of the ball's acceleration with time?
46. Q111 mark · multiple choice· CAPE Physics Unit 1 · 2015 · Paper 1A car with mass, m, moves around a circular road of radius, r, at a constant speed, v. Which of the following statements is/are true? I. The car's velocity changes and the magnitude of the acceleration is…
47. Q41 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1Which of the following velocity-time graphs accurately represents the motion of a ball that is thrown vertically upwards and falls back towards the ground?
48. Q51 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1Which of the following equations is NOT for uniformly accelerated motion?
49. Q61 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1A tennis ball is given a horizontal velocity of 8\text{ m s}^{-1} when it is hit at a height 1.8\text{ m} above the ground. It is in the air for
50. Q71 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1Which of the following equations represents the correct relationship between impulse and momentum?
51. Q81 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1During training, a boy runs around a circular 400\text{ m} track at a constant speed of 5\text{ m s}^{-1}. What is his angular velocity?
52. Q101 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1An object of mass, m, travelling initially at a velocity, u, is acted upon by a force, F, for a period, t, until it is travelling with a velocity, v. Which of the following equation(s) can be used to determine…
53. Q41 mark · multiple choice· CAPE Physics Unit 1 · 2017 · Paper 1A metal case is dropped out of a hovering helicopter and plummets 80\text{ m} before hitting the ground. What is its velocity just before it hits the ground?
54. Q51 mark · multiple choice· CAPE Physics Unit 1 · 2017 · Paper 1An object falls freely under gravity, g, from a height of 12.5\text{ m}. Which of the following equations can be used to determine the time, t, taken for the object to reach the ground?
55. Q71 mark · multiple choice· CAPE Physics Unit 1 · 2017 · Paper 1An object of mass, m, travelling initially at a velocity, u, is acted upon by a force, F, for a period, t, until it is travelling with a velocity, v. Which of the following equations can be used to determine…
56. Q81 mark · multiple choice· CAPE Physics Unit 1 · 2017 · Paper 1Item 8 refers to the following scenario. A swimmer of mass 66\,000\text{ g} starts from rest and accelerates uniformly to the other end of the pool during a competition. His force against the water is 90\text{ N}.…
57. 1(a)5 marks· CAPE Physics Unit 1 · May/June 2021 · Paper 2On the grid provided in Figure 1 on page 7, plot a graph of velocity versus time. Draw the best smooth curve through the points.
58. 1(b)8 marks· CAPE Physics Unit 1 · May/June 2021 · Paper 2Describe the motion of the parachutist from jumping out of the airplane to landing, explaining what happens during each specified time interval: 0–20 s, 20–40 s, 40–45 s, 45–60 s, and 60–62 s.
59. 1(d)(i)4 marks· CAPE Physics Unit 1 · May/June 2021 · Paper 2Explain why the car is accelerating even though its speed remains constant.
60. 1(d)(ii)3 marks· CAPE Physics Unit 1 · May/June 2021 · Paper 2Calculate the centripetal acceleration of the car.
61. 1(e)(i)2 marks· CAPE Physics Unit 1 · May/June 2021 · Paper 2Define the term 'geostationary satellite'.
62. 1(e)(ii)2 marks· CAPE Physics Unit 1 · May/June 2021 · Paper 2State the physical characteristics of the Earth that determine the fixed orbital radius, r, for a geostationary satellite.
63. 1(e)(iii)2 marks· CAPE Physics Unit 1 · May/June 2021 · Paper 2State two applications of geostationary satellites.
64. 1(a)(iii)2 marks· CAPE Physics Unit 1 · May/June 2022 · Paper 2Define the term 'uniform motion'.
65. 1(c)(i)4 marks· CAPE Physics Unit 1 · May/June 2022 · Paper 2On the grid provided in Figure 1 on page 7, plot a graph of velocity, v, against time, t. Draw a smooth curve through the points.
66. 1(d)(i)2 marks· CAPE Physics Unit 1 · May/June 2023 · Paper 2State the TWO conditions that must be satisfied if a body is moving with uniform circular motion.
67. 1(d)(ii)4 marks· CAPE Physics Unit 1 · May/June 2023 · Paper 2Show that the relationship between the period, T, the radius, r, and the masses, m and M, is given by T = 2π √(mr / Mg).
68. 1(a)(i)2 marks· CAPE Physics Unit 1 · May/June 2024 · Paper 2Define displacement.
69. 1(a)(ii)1 mark· CAPE Physics Unit 1 · May/June 2024 · Paper 2Define acceleration.
70. 1(b)3 marks· CAPE Physics Unit 1 · May/June 2024 · Paper 2Plot a graph of velocity, v, versus time, t, using the axes in Figure 1. Draw the best smooth curve through the points.
71. 1(c)(i)4 marks· CAPE Physics Unit 1 · May/June 2024 · Paper 2Determine the instantaneous acceleration of the balloon after 1.5 s.
72. 1(c)(ii)1 mark· CAPE Physics Unit 1 · May/June 2024 · Paper 2Determine the total distance travelled by the balloon.
73. 1(d)(iii)3 marks· CAPE Physics Unit 1 · May/June 2024 · Paper 2Calculate the time, t, for the football to reach the maximum height, H.
74. 1(d)(iv)3 marks· CAPE Physics Unit 1 · May/June 2024 · Paper 2Calculate the maximum height reached by the football.
75. 1(e)7 marks· CAPE Physics Unit 1 · May/June 2024 · Paper 2Find the equation of the trajectory, y as a function of x, to show that the motion of the football is parabolic.
76. 1(a)(i)2 marks· CAPE Physics Unit 1 · May/June 2025 · Paper 2State, in words, Newton's second law of motion.
77. 1(a)(ii)2 marks· CAPE Physics Unit 1 · May/June 2025 · Paper 2State the principle of conservation of linear momentum.
78. 1(a)(iv)2 marks· CAPE Physics Unit 1 · May/June 2025 · Paper 2Explain what is meant by the 'impulse of a force'.
79. 1(b)(i)1 mark· CAPE Physics Unit 1 · May/June 2025 · Paper 2Write an expression for the total momentum of the system before the collision.
80. 1(b)(ii)1 mark· CAPE Physics Unit 1 · May/June 2025 · Paper 2Write an expression for the total momentum of the system after the collision.
81. 1(c)(i)4 marks· CAPE Physics Unit 1 · May/June 2025 · Paper 2Calculate the velocity, v2, of the larger ball after the collision.
82. 1(d)(i)2 marks· CAPE Physics Unit 1 · May/June 2025 · Paper 2State Newton's third law of motion.
83. 1(d)(iv)2 marks· CAPE Physics Unit 1 · May/June 2025 · Paper 2Calculate the acceleration of the object as it moves down the inclined plane.
84. 1(b)9 marks· CAPE Physics Unit 1 · May/June 2026 · Paper 2Use the information from Figure 1 to plot a graph of velocity, v, against time, t, to show the motion of the elevator on the grid provided in Figure 2, clearly identifying points A, B, C, and D.
85. 1(c)(i)7 marks· CAPE Physics Unit 1 · May/June 2026 · Paper 2Calculate the constant braking acceleration of the sports car.
86. 1(c)(ii)4 marks· CAPE Physics Unit 1 · May/June 2026 · Paper 2Determine the time taken for the sports car to decrease in speed.
87. 1(a)2 marks· Physics · Unit 1 Q1 1(a)State Newton's first law of motion.
88. 1(a)3 marks· Physics · Unit 1 Q1 1(a)Find the gradient of the graph when t = 0.5 s.
89. 1(a)2 marks· Physics · Unit 1 Q1 1(a)State, in words, Newton's law of universal gravitation.
90. 1(a)5 marks· Physics · Unit 1 Q1 1(a)On the grid provided in Figure 2 (page 7), plot a graph of velocity, v, versus time, t.
91. 1(a) Working3 marks· Physics · Unit 1 Q1 1(a) WorkingWorking for determination of g.
92. 1(a)(i)1 mark· Physics · Unit 1 Q1 1(a)(i)Complete Table 1 by inserting the missing values.
93. 1(a)(i)2 marks· Physics · Unit 1 Q1 1(a)(i)Calculate the initial horizontal component of the missile's velocity.
94. 1(a)(i)1 mark· Physics · Unit 1 Q1 1(a)(i)Describe BRIEFLY how you would vary the radius of the circle it describes.
95. 1(a)(i)1 mark· Physics · Unit 1 Q1 1(a)(i)Write down an equation which shows the relation between the resultant force F on a body, the time t for which the force acts and the change in momentum, Δp, of the body.
96. 1(a)(i)4 marks· Physics · Unit 1 Q1 1(a)(i)On the grid on page 5, plot a graph of velocity v, versus time t.
97. 1(a)(i)1 mark· Physics · Unit 1 Q1 1(a)(i)Define the term 'acceleration' and state its units.
98. 1(a)(i)2 marks· Physics · Unit 1 Q1 1(a)(i)Write an expression for the horizontal distance travelled.
99. 1(a)(i)5 marks· Physics · Unit 1 Q1 1(a)(i)On the grid on page 5, plot a graph of velocity, V, against time, t.
100. 1(a)(ii)3 marks· Physics · Unit 1 Q1 1(a)(ii)Write an expression for the vertical distance travelled.
101. 1(a)(ii)2 marks· Physics · Unit 1 Q1 1(a)(ii)Describe BRIEFLY how you would find the period of rotation.
102. 1(a)(ii)1 mark· Physics · Unit 1 Q1 1(a)(ii)Define Instantaneous velocity and state if it is a vector or scalar quantity.
103. 1(a)(ii)2 marks· Physics · Unit 1 Q1 1(a)(ii)By neglecting air resistance, determine the horizontal range of the missile.
104. 1(a)(ii)3 marks· Physics · Unit 1 Q1 1(a)(ii)Using your graph, describe qualitatively the motion of the ball.
105. 1(a)(ii)3 marks· Physics · Unit 1 Q1 1(a)(ii)State Newton's second law of motion in words AND the associated equation.
106. 1(a)(ii)1 mark· Physics · Unit 1 Q1 1(a)(ii)Define the term 'impulse'.
107. 1(a)(ii)4 marks· Physics · Unit 1 Q1 1(a)(ii)On the grid provided on page 5, plot a graph of velocity, v, against time, t.
108. 1(a)(iii)1 mark· Physics · Unit 1 Q1 1(a)(iii)Define Instantaneous acceleration and state if it is a vector or scalar quantity.
109. 1(a)(iii)5 marks· Physics · Unit 1 Q1 1(a)(iii)Combine the expressions in (a)(i) and (a)(ii) to obtain an equation for the trajectory and hence deduce that the motion is parabolic.
110. 1(a)(iii)1 mark· Physics · Unit 1 Q1 1(a)(iii)Describe BRIEFLY how you would apply a constant force.
111. 1(a)(iii)2 marks· Physics · Unit 1 Q1 1(a)(iii)Using your graph, calculate the height, h, above the ground from which the ball was dropped.
112. 1(a)(iii)2 marks· Physics · Unit 1 Q1 1(a)(iii)Determine the average acceleration of the sphere between t = 0.5 s and t = 0.7 s.
113. 1(a)(iii)a)2 marks· Physics · Unit 1 Q1 1(a)(iii)a)Calculate the acceleration of the ball down the inclined plane.
114. 1(a)(iii)b)2 marks· Physics · Unit 1 Q1 1(a)(iii)b)Calculate the length of the incline.
115. 1(a)(iii)c)2 marks· Physics · Unit 1 Q1 1(a)(iii)c)Calculate the MEAN force experienced by the ball during the impact with the block.
116. 1(b)3 marks· Physics · Unit 1 Q1 1(b)Based on the graph, describe qualitatively, the motion of the block.
117. 1(b)3 marks· Physics · Unit 1 Q1 1(b)Use data from the graph to find the acceleration of the ball.
118. 1(b)3 marks· Physics · Unit 1 Q1 1(b)Find the value for the acceleration due to gravity from this experiment.
119. 1(b)3 marks· Physics · Unit 1 Q1 1(b)On the axes below sketch graphs (using down as positive) to show how the acceleration, a, velocity, v, and displacement, y, of the falling steel bearing vary with time.
120. 1(b)(i)3 marks· Physics · Unit 1 Q1 1(b)(i)What physical quantity is represented by the area under the graph?
121. 1(b)(i)3 marks· Physics · Unit 1 Q1 1(b)(i)Describe the motion of the ball during the periods AB and BC.
122. 1(b)(i)5 marks· Physics · Unit 1 Q1 1(b)(i)On the grid provided in Figure 1 on page 7, plot a graph of velocity, v, versus time, t. Draw the line of best fit through the points.
123. 1(b)(i)5 marks· Physics · Unit 1 Q1 1(b)(i)On the grid provided in Figure 1 (page 7), plot a graph of speed against time.
124. 1(b)(i)5 marks· Physics · Unit 1 Q1 1(b)(i)Use the data given in Table 1 to calculate the mass of the ball.
125. 1(b)(ii)2 marks· Physics · Unit 1 Q1 1(b)(ii)Estimate the height to which the ball rises.
126. 1(b)(ii)1 mark· Physics · Unit 1 Q1 1(b)(ii)From your graph, determine the time at which the ball reaches its maximum height.
127. 1(b)(ii)1 mark· Physics · Unit 1 Q1 1(b)(ii)Suggest a reason why the velocity remains unchanged for the first 0.5 seconds after the light turns red.
128. 1(b)(ii)1 mark· Physics · Unit 1 Q1 1(b)(ii)What conclusion can you draw from the data given in Table 1?
129. 1(b)(ii)2 marks· Physics · Unit 1 Q1 1(b)(ii)Write expressions for the vertical and horizontal displacements at any time t, for y and x respectively.
130. 1(b)(iii)3 marks· Physics · Unit 1 Q1 1(b)(iii)Hence, or otherwise, determine the maximum height reached above the point of release.
131. 1(b)(iii)1 mark· Physics · Unit 1 Q1 1(b)(iii)From the graph, how can you tell that the object returned to the point of projection?
132. 1(b)(iii)1 mark· Physics · Unit 1 Q1 1(b)(iii)What feature of the graph shows that the car's deceleration was uniform?
133. 1(b)(iii)2 marks· Physics · Unit 1 Q1 1(b)(iii)Calculate the time taken for the fuel to be burned.
134. 1(b)(iii)4 marks· Physics · Unit 1 Q1 1(b)(iii)Hence, show that the path traced out by the stone is parabolic.
135. 1(b)(iii)3 marks· Physics · Unit 1 Q1 1(b)(iii)Given that t₀ = 5 s, determine the velocity of the particle when t = 30 s.
136. 1(b)(iv)4 marks· Physics · Unit 1 Q1 1(b)(iv)Use your graph to determine the distance that the car travelled after the lights turned red to when the car stopped.
137. 1(b)(iv)3 marks· Physics · Unit 1 Q1 1(b)(iv)Hence, calculate the initial velocity of the projectile.
138. 1(c)3 marks· Physics · Unit 1 Q1 1(c)Why is the gradient of the graph greater immediately before 1.2 s than immediately after 1.2 s?
139. 1(c)3 marks· Physics · Unit 1 Q1 1(c)Using g = 9.8 m s⁻² rather than the value from (a), find the velocity of the steel bearing after it has fallen a distance of 0.90 m.
140. 1(c)2 marks· Physics · Unit 1 Q1 1(c)Find the speed of the car just before impact, assuming it came to rest in contact with the wall.
141. 1(c)5 marks· Physics · Unit 1 Q1 1(c)Determine the height of the object.
142. 1(c)(i)2 marks· Physics · Unit 1 Q1 1(c)(i)From the graph, determine the acceleration of the block when sliding down the plane.
143. 1(c)(ii)3 marks· Physics · Unit 1 Q1 1(c)(ii)From the graph, determine the length of the incline.
144. 1(c)(iii)1 mark· Physics · Unit 1 Q1 1(c)(iii)From the graph, read off the time delay between the firing of the rocket and lift off. Write this value in the space below.
145. 1(c)(iv)1 mark· Physics · Unit 1 Q1 1(c)(iv)On the graph, shade the area that represents the change in momentum of the rocket during the first 4 seconds after the rocket is fired.
146. 1(c)(v)2 marks· Physics · Unit 1 Q1 1(c)(v)Estimate the value for the change in momentum of the rocket.
147. 1(d)1 mark· Physics · Unit 1 Q1 1(d)If further timings and displacements were taken after 1.8 s, would you expect the displacement to become zero again? Explain your answer.
148. 1(d)2 marks· Physics · Unit 1 Q1 1(d)What was the maximum acceleration experienced by the car?
149. 1(d)3 marks· Physics · Unit 1 Q1 1(d)Sketch a velocity-time graph of its motion.
150. 4(a)1 mark· Physics · Unit 1 Q4 4(a)A body of mass, m, is moving in a circle of radius, r, with constant speed v.
151. 4(a)2 marks· Physics · Unit 1 Q4 4(a)State the principle of conservation of linear momentum.
152. 4(a)4 marks· Physics · Unit 1 Q4 4(a)Derive the equation for circular motion, a = rω², where a is the centripetal acceleration, ω is the angular velocity and r the radius of the circle.
153. 4(a)1 mark· Physics · Unit 1 Q4 4(a)State Newton's 2nd law of motion.
154. 4(a)(i)1 mark· Physics · Unit 1 Q4 4(a)(i)Define the term 'momentum.'
155. 4(a)(i)2 marks· Physics · Unit 1 Q4 4(a)(i)Explain why a particle moving with constant speed along a circular path has an acceleration.
156. 4(a)(i)4 marks· Physics · Unit 1 Q4 4(a)(i)What conditions are required for a body to undergo parabolic motion?
157. 4(a)(i)8 marks· Physics · Unit 1 Q4 4(a)(i)State Newton's laws of motion.
158. 4(a)(i)5 marks· Physics · Unit 1 Q4 4(a)(i)Explain why there must be an acceleration experienced by the mass although it is moving at constant speed.
159. 4(a)(ii)1 mark· Physics · Unit 1 Q4 4(a)(ii)What conditions are required for a body to undergo circular motion?
160. 4(a)(ii)1 mark· Physics · Unit 1 Q4 4(a)(ii)Which TWO physical quantities are conserved in an elastic collision?
161. 4(a)(ii)1 mark· Physics · Unit 1 Q4 4(a)(ii)Write an expression for the magnitude of the acceleration and state the direction of this acceleration.
162. 4(a)(iii)1 mark· Physics · Unit 1 Q4 4(a)(iii)TWO of the spheres, each of mass m, are pulled to one side as shown in Figure II (b) and released so that they strike the others with velocity v. A student observing the demonstration predicts that immediately after the…
163. 4(a)(iv)8 marks· Physics · Unit 1 Q4 4(a)(iv)In fact in the above demonstration the incoming spheres come to rest but TWO spheres move off together on the other side with velocity v. Show that BOTH the conservation laws are now satisfied.
164. 4(b)6 marks· Physics · Unit 1 Q4 4(b)Show that for an object projected with a given velocity, v, at an angle, α, to the horizontal, the trajectory is given by the equation y = x tan α - gx² / (2v² cos² α).
165. 4(b)4 marks· Physics · Unit 1 Q4 4(b)Explain what is meant by a 'geostationary satellite'. Show that the radius of the orbit of a geostationary satellite is independent of its mass.
166. 4(b)1 mark· Physics · Unit 1 Q4 4(b)Figure 3 shows a pendulum with string of length 0.5 m and mass 1 kg being whirled at constant speed in a horizontal circle. The mass is 1.5 m above the ground.
167. 4(b)(i)1 mark· Physics · Unit 1 Q4 4(b)(i)State the law of conservation of momentum.
168. 4(b)(i)10 marks· Physics · Unit 1 Q4 4(b)(i)State Newton's law of universal gravitation.
169. 4(b)(i)1 mark· Physics · Unit 1 Q4 4(b)(i)What is the change of momentum of the car during this collision?
170. 4(b)(ii)1 mark· Physics · Unit 1 Q4 4(b)(ii)The Moon orbits the Earth in a circle of radius 400 000 km. Considering only these two objects, state what force or forces act on the Moon and explain how Newton's third law of motion applies to the system.
171. 4(b)(ii)1 mark· Physics · Unit 1 Q4 4(b)(ii)Calculate the time the skier takes to hit the ground after he has left Point B.
172. 4(b)(ii)1 mark· Physics · Unit 1 Q4 4(b)(ii)Calculate the time taken for the boy to reach the ground.
173. 4(b)(ii)1 mark· Physics · Unit 1 Q4 4(b)(ii)Find the impulse of the force acting on the car.
174. 4(b)(ii)a)10 marks· Physics · Unit 1 Q4 4(b)(ii)a)Assuming that the Law of Conservation of Momentum applies for this collision: Calculate the ratio of the masses of the two objects, m₁:m₂.
175. 4(b)(ii)c)12 marks· Physics · Unit 1 Q4 4(b)(ii)c)Find the time, in minutes, it will take for the balloon to ascend to a height of 10 km. (Density of air, ρ = 1.29 kg m⁻³.) (Volume of a sphere = (4/3)πr³.)
176. 4(b)(iii)1 mark· Physics · Unit 1 Q4 4(b)(iii)Find the time for ONE complete revolution of the Moon about the Earth.
177. 4(b)(iii)1 mark· Physics · Unit 1 Q4 4(b)(iii)Calculate the horizontal distance, R, of the end of the track, (Point B) from the landing point.
178. 4(b)(iii)8 marks· Physics · Unit 1 Q4 4(b)(iii)How far horizontally from the truck does the boy land?
179. 4(b)(iii)1 mark· Physics · Unit 1 Q4 4(b)(iii)Sketch a graph to show the typical variation of force with time during a collision like this and state what the area under the graph represents.
180. 4(b)(iv)1 mark· Physics · Unit 1 Q4 4(b)(iv)Find the average force acting on the car during the collision.
181. 4(b)(v)12 marks· Physics · Unit 1 Q4 4(b)(v)Discuss why modern cars are designed to crumple in a head-on collision. Illustrate your answer with a sketch graph (labelled CRASH 2) using the same scale as in part (b) (iii) to show how the force varies with time when…
182. 4(c)5 marks· Physics · Unit 1 Q4 4(c)A small mass of 0.60 kg is rotated at the end of a string in a horizontal circle of radius 1.20 m. The string will break if the tension exceeds 60 N. What is the GREATEST frequency of revolution that is possible?
183. 4(c)6 marks· Physics · Unit 1 Q4 4(c)What is the velocity of Tug P and Tug Q?
184. 4(c)2 marks· Physics · Unit 1 Q4 4(c)What TWO assumptions did you make in calculating the answers to (b) above?
185. 4(c)1 mark· Physics · Unit 1 Q4 4(c)During the motion the string suddenly breaks.
186. 4(c)(i)12 marks· Physics · Unit 1 Q4 4(c)(i)For EACH bullet calculate the horizontal range and the corresponding time of flight.
187. 4(c)(i)2 marks· Physics · Unit 1 Q4 4(c)(i)Show that the deceleration of the car is 4.2 m s⁻² with the braking force applied.
188. 4(c)(i)6 marks· Physics · Unit 1 Q4 4(c)(i)Calculate the angular velocity, ω, and centripetal acceleration of the mass.
189. 4(c)(i)4 marks· Physics · Unit 1 Q4 4(c)(i)Describe the subsequent motion of the mass.
190. 4(c)(ii)1 mark· Physics · Unit 1 Q4 4(c)(ii)What is the velocity with which the rifle recoils?
191. 4(c)(ii)1 mark· Physics · Unit 1 Q4 4(c)(ii)Find the centripetal force acting on the mass and the tension in the string.
192. 4(c)(ii)2 marks· Physics · Unit 1 Q4 4(c)(ii)Calculate the distance the car travels from the time the braking force is applied until the car comes to rest.
193. 4(c)(ii)1 mark· Physics · Unit 1 Q4 4(c)(ii)Calculate the time it takes for the mass to hit the ground after the string breaks.
194. 4(c)(iii)1 mark· Physics · Unit 1 Q4 4(c)(iii)Calculate the initial acceleration of the rock.
195. 4(d)2 marks· Physics · Unit 1 Q4 4(d)Sketch graphs to show how the (i) velocity and (ii) acceleration of the rock vary with time.
196. 4(d)(i)7 marks· Physics · Unit 1 Q4 4(d)(i)State and explain where the tension in the string is MAXIMUM and MINIMUM.
197. 4(d)(ii)1 mark· Physics · Unit 1 Q4 4(d)(ii)Find the speed of the mass.
198. 5(a)6 marks· Physics · Unit 1 Q5 5(a)A mass, m, moves with constant linear speed, v, in a circle of radius r. Show that the magnitude of the acceleration, a, of the mass is given by a = v²/r.
199. 5(a)(i)1 mark· Physics · Unit 1 Q5 5(a)(i)Explain using Newton's laws how the propeller of a light aeroplane like the one shown in Figure IV is able to provide forward thrust.
200. 5(a)(i)3 marks· Physics · Unit 1 Q5 5(a)(i)What is meant by the term Speed?
201. 5(a)(i)8 marks· Physics · Unit 1 Q5 5(a)(i)Show that the mass of the Sun in the Earth's orbit is four times the mass of the sun in Planet P's orbit.
202. 5(a)(i)8 marks· Physics · Unit 1 Q5 5(a)(i)Define 'linear momentum' and state the principle of conservation of linear momentum.
203. 5(a)(ii)8 marks· Physics · Unit 1 Q5 5(a)(ii)Show that the period of the planet, P, is given by T = 2π * sqrt(r^3 / GM_P), where M_P is the mass of the planet and r the radius of the orbit.
204. 5(a)(ii)1 mark· Physics · Unit 1 Q5 5(a)(ii)What is meant by the term Velocity?
205. 5(a)(ii)5 marks· Physics · Unit 1 Q5 5(a)(ii)The forward thrust caused by the propeller of an aeroplane is 18 000 N and the air flowing through it leaves with a velocity of 250 m s⁻¹. What mass of air must pass through the propeller EACH second?
206. 5(a)(ii)a)1 mark· Physics · Unit 1 Q5 5(a)(ii)a)Distinguish between 'inelastic' collision and 'perfectly elastic' collisions.
207. 5(a)(iii)1 mark· Physics · Unit 1 Q5 5(a)(iii)What is meant by the term Acceleration?
208. 5(a)(iii)1 mark· Physics · Unit 1 Q5 5(a)(iii)Explain the meaning of the 'impulse of a force' and show the relation between the impulse of a force in a body and the momentum of the body.
209. 5(b)5 marks· Physics · Unit 1 Q5 5(b)A body travels from rest for a time, t, and has an acceleration, a. Obtain expressions in terms of a and t for the final velocity, v, and distance travelled, s. Hence show that s = (1/2)v²/a.
210. 5(b)(i)12 marks· Physics · Unit 1 Q5 5(b)(i)Show whether or not the two sets of data are consistent with the law of conservation of momentum.
211. 5(b)(ii)1 mark· Physics · Unit 1 Q5 5(b)(ii)Calculate the radius of the circular path for a plane of mass 3 000 kg with a horizontal speed of 120 km per hour if the resultant force acting is 16 000 N.
212. 5(b)(iii)1 mark· Physics · Unit 1 Q5 5(b)(iii)Why should the speeds be measured IMMEDIATELY before and after the collisions?
213. 5(b)(iv)15 marks· Physics · Unit 1 Q5 5(b)(iv)Each passenger on the light aeroplane must also experience a resultant unbalanced force to move in a circular path. With the aid of a diagram state how this force is provided.
214. 5(b)(iv)a)1 mark· Physics · Unit 1 Q5 5(b)(iv)a)What would be the TOTAL momentum after collision?
215. 5(b)(iv)b)1 mark· Physics · Unit 1 Q5 5(b)(iv)b)Explain your answer.
216. 5(c)3 marks· Physics · Unit 1 Q5 5(c)Calculate the distance between the planet and its sun.
217. 5(c)(i)12 marks· Physics · Unit 1 Q5 5(c)(i)Calculate the length of the runway.
218. 5(c)(i)7 marks· Physics · Unit 1 Q5 5(c)(i)With the aid of a sketch, describe the motion of the ball after the string breaks at the lowest point of the circle.
219. 5(c)(i)1 mark· Physics · Unit 1 Q5 5(c)(i)Sketch graphs to show the variation with time of the drum's displacement and velocity.
220. 5(c)(ii)1 mark· Physics · Unit 1 Q5 5(c)(ii)Calculate the total time of take off. Hence sketch a velocity-time graph for the motion of the jet.
221. 5(c)(ii)1 mark· Physics · Unit 1 Q5 5(c)(ii)Find the time taken by the drum to reach the ground.
222. 5(c)(ii)a)7 marks· Physics · Unit 1 Q5 5(c)(ii)a)Calculate the lateral distance the ball travelled during this time.
223. 5(c)(ii)b)7 marks· Physics · Unit 1 Q5 5(c)(ii)b)Calculate the vertical velocity of the ball just before it strikes the ground.
224. 5(d)4 marks· Physics · Unit 1 Q5 5(d)Calculate a value for g' the acceleration due to gravity on planet P.
225. 5(e)(i)3 marks· Physics · Unit 1 Q5 5(e)(i)Calculate the period of oscillation for the mass.