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Conservation of Energy · CAPE Physics Unit 1

143 past-paper questions on Conservation of Energy, part of Mechanics, from every CAPE Physics Unit 1 paper on Quelpr.

  1. Q131 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1A slingshot is a child's toy that converts the strain energy of the stretched material into the moving energy of the propelled object. A boy pulls on his slingshot with a force of 20\text{ N} and it extends by…
  2. Q151 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1Two spheres, one of mass m and the other of mass \frac{m}{2} are moving towards each other with velocity, v. The spheres have an elastic collision. Which one of the following statements is correct?
  3. Q201 mark · multiple choice· CAPE Physics Unit 1 · 2007 · Paper 1A Young's double-slit experiment is performed with white light incident on the slits. The first bright fringe after the central maximum is a
  4. Q111 mark · multiple choice· CAPE Physics Unit 1 · 2007 (Specimen) · Paper 1Aeroplane A is travelling at twice the speed of Aeroplane B. Plane A is half the mass of Aeroplane B. Which of the following statements is correct?
  5. Q121 mark · multiple choice· CAPE Physics Unit 1 · 2007 (Specimen) · Paper 1An object is rotated in a vertical circle with a constant angular velocity. Which of the following quantities remain constant as the object moves round its circular path? I. The tension in the string II. The…
  6. Q131 mark · multiple choice· CAPE Physics Unit 1 · 2007 (Specimen) · Paper 1Item 13 refers to the diagram below showing thermal energy being transformed through an engine. What is the efficiency of the engine?
  7. Q101 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1Which of the following equations represents the gravitational field strength of a point a distance h from the surface of the Earth where r is the radius of the Earth?
  8. Q131 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1A bee is pushed by a wind of constant force from rest for a fixed distance. The kinetic energy acquired by the bee of mass, m is
  9. Q151 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1A car travelling at a constant velocity is provided with 15\text{ kW} of useful power. The driving force on the car is 600\text{ N}. What is the velocity of the car?
  10. Q211 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1The refractive index of water is 1.33. What will be the speed of light in water?
  11. Q261 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1In a Young's two-slit experiment, the separation between the first and fifth bright fringe is 2.5\text{ mm} when the wavelength used is 6.2 \times 10^{-7}\text{ m}. The distance from the slits to the screen is…
  12. Q271 mark · multiple choice· CAPE Physics Unit 1 · 2008 (Rest of Region) · Paper 1When monochromatic light of wavelength 6.0 \times 10^{-7}\text{ m} is incident normally on a plane diffraction grating, the angle between the two second order diffraction lines formed is 40^\circ. What is the number…
  13. Q61 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1What is the gravitational field strength of a planet whose mass is one-third that of the Earth's and whose radius is one-half that of the Earth (the gravitational field strength of Earth is g)?
  14. Q111 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1Which of the statements below BEST describes the motion of a geostationary satellite?
  15. Q151 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1A student of weight 500\text{ N} is planning a trip up to the peak of Blue Mountain. From her starting point, this will involve an increase in altitude of 1800\text{ m}. She buys "high calorie" energy bars which…
  16. Q251 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1In Young's double slit experiment, the separation between the slits is halved and the distance between the slits and screen is doubled. The fringe width is
  17. Q291 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1Colours are seen when the sun is shining on a soap bubble. Which phenomenon BEST explains this observation?
  18. Q361 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1Water falls from a height of 500\text{ m}. What is the rise in temperature of water at the bottom if all of the energy gained is converted to internal energy in the water? (Specific heat capacity of water…
  19. Q421 mark · multiple choice· CAPE Physics Unit 1 · 2008 (T&T) · Paper 1The material shown has length, l, and cross sectional area A. When a force, F, is applied to the material it causes an extension, e, in the material. Which of the following expressions can be used to determine…
  20. Q91 mark · multiple choice· CAPE Physics Unit 1 · 2009 · Paper 1The following statements refer to an INELASTIC COLLISION: I. The total amount of momentum is NOT conserved. II. The total amount of kinetic energy is NOT conserved. III. The total amount of momentum is conserved.…
  21. Q101 mark · multiple choice· CAPE Physics Unit 1 · 2009 · Paper 1Two satellites S_1 and S_2 are orbiting around a planet of radius R. S_1 moves just above the surface and S_2 is an orbit of radius 4R. The value of the ratio \frac{\text{Orbital speed of }…
  22. Q111 mark · multiple choice· CAPE Physics Unit 1 · 2009 · Paper 1Which of the statements below BEST describes the motion of a geostationary satellite?
  23. Q131 mark · multiple choice· CAPE Physics Unit 1 · 2009 · Paper 1A rock is thrown vertically upwards from the ground. Neglecting air resistance, the graph that BEST shows the relationship between the kinetic energy, E, of the rock and its height, h, is:
  24. Q141 mark · multiple choice· CAPE Physics Unit 1 · 2009 · Paper 1A van has mass m. The van's engine has a maximum power output of P. The LEAST time for the van to be accelerated from rest to a speed, v, is
  25. Q151 mark · multiple choice· CAPE Physics Unit 1 · 2009 · Paper 1A student of weight 500\text{ N} is planning a trip to the peak of Blue Mountain. From her starting point, this will involve an increase in altitude of 1\,800\text{ m}. She buys "high calorie" energy bars which…
  26. Q251 mark · multiple choice· CAPE Physics Unit 1 · 2009 · Paper 1A liquid X floats in a container on top of another liquid Y. Light whose velocity is V_y strikes the boundary with an angle of incidence \theta_y. In Liquid X the angle of refraction is \theta_x and the…
  27. Q261 mark · multiple choice· CAPE Physics Unit 1 · 2009 · Paper 1In a Young's two-slit experiment, light of wavelength 500\text{ nm} produces fringes 2\text{ mm} apart on a screen. If light of wavelength 250\text{ nm} is used and the slit separation is doubled, how far apart…
  28. Q271 mark · multiple choice· CAPE Physics Unit 1 · 2009 · Paper 1X-rays differ from microwaves in that they
  29. Q81 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1Which of the following pairs of conditions is true for an inelastic collision?
  30. Q91 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1Which of the following equations gives the correct relationship between impulse and momentum?
  31. Q111 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1Which of the statements below BEST describes the motion of a geostationary satellite?
  32. Q131 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1A body falls from a cliff 80\text{ m} above the ground. If it loses 25% of its energy overcoming friction, what is its velocity on impact with the ground? [g = 9.8\text{ N kg}^{-1}]
  33. Q141 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1If m is the mass of an object and E its kinetic energy, then its linear momentum is
  34. Q151 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1A student of weight 500\text{ N} is planning a trip up to the peak of Blue Mountain. From her starting point, this will involve an increase in altitude of 1800\text{ m}. She buys "high calorie" energy bars which…
  35. Q251 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1Two light sources are said to be coherent. The waves from them must therefore have
  36. Q261 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1As light travelling in air enters a medium its speed changes to 2.4 \times 10^8\text{ m s}^{-1}. The refractive index of the medium is
  37. Q271 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1For a double slit interference pattern using light, the separation of fringes will increase if I. Blue light is used instead of red. II. The screen is moved away from the slits. III. The slits are brought closer…
  38. Q351 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1Water falls from a height of 500\text{ m}. What is the rise in temperature of water at the bottom if all of the energy gained is converted to internal energy in the water?
  39. Q421 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1The material shown has length, l, and cross-sectional area A. When a force F, is applied to the material it causes an extension e, in the material. Which of the following expressions can be used to determine the…
  40. Q441 mark · multiple choice· CAPE Physics Unit 1 · 2010 · Paper 1This graph is MOST likely to apply to
  41. Q61 mark · multiple choice· CAPE Physics Unit 1 · 2011 · Paper 1What is the gravitational field strength of a planet whose mass is one-third that of the Earth's and whose radius is one-half that of the Earth's? (The gravitational field strength of Earth is g.)
  42. Q131 mark · multiple choice· CAPE Physics Unit 1 · 2011 · Paper 1If p is the momentum of an object of mass, m, then the expression \frac{p^2}{m} has the same unit as
  43. Q141 mark · multiple choice· CAPE Physics Unit 1 · 2011 · Paper 1If m is the mass of an object and E its kinetic energy, then its linear momentum is
  44. Q151 mark · multiple choice· CAPE Physics Unit 1 · 2011 · Paper 1A student of weight 500\text{ N} is planning a trip to the peak of Blue Mountain. From her starting point, this will involve an increase in altitude of 1800\text{ m}. She buys "high calorie" energy bars which…
  45. Q131 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1A body falls from a cliff 80\text{ m} above the ground. If it loses 25\% of its energy overcoming friction, what is its velocity on impact with the ground? [g = 9.8\text{ N kg}^{-1}]
  46. Q141 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1A van has mass, m. The van's engine has a maximum power output of P. The LEAST time for the van to be accelerated from rest to a speed, v, is
  47. Q151 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1If m is the mass of an object and E its kinetic energy, then its linear momentum is
  48. Q241 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1Two sources are said to be coherent
  49. Q251 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1After investigating the refraction of water waves in a ripple tank, a student draws the following conclusions. I. When refraction occurs, the wavelength of the waves changes. II. Refraction is caused by a change in the…
  50. Q261 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1As light travelling in air enters a medium its speed changes to 2.4 \times 10^8\text{ m s}^{-1}. The refractive index of the medium is
  51. Q271 mark · multiple choice· CAPE Physics Unit 1 · 2012 · Paper 1In a double slit experiment using a monochromatic light source of wavelength 400\text{ nm}, the distance between the bright fringes was found to be 8.0\text{ mm}. If the screen is 5\text{ m} from the double slit,…
  52. Q61 mark · multiple choice· CAPE Physics Unit 1 · 2013 · Paper 1What is the gravitational field strength of a planet whose mass is one-third that of the Earth's and whose radius is one-half that of the Earth's? (The gravitational field strength of Earth is g.)
  53. Q91 mark · multiple choice· CAPE Physics Unit 1 · 2013 · Paper 1Which of the following pairs of conditions is true for an inelastic collision?
  54. Q121 mark · multiple choice· CAPE Physics Unit 1 · 2013 · Paper 1Which of the statements below BEST describes the motion of a geostationary satellite?
  55. Q131 mark · multiple choice· CAPE Physics Unit 1 · 2013 · Paper 1If m is the mass of an object and E its kinetic energy, then its linear momentum is
  56. Q141 mark · multiple choice· CAPE Physics Unit 1 · 2013 · Paper 1A van has mass m. The van's engine has a maximum power output of P. The LEAST time required for the van to be accelerated from rest to a speed, v, is
  57. Q151 mark · multiple choice· CAPE Physics Unit 1 · 2013 · Paper 1A student of weight 500\text{ N} is planning a trip to the peak of Blue Mountain. From her starting point, this will involve an increase in altitude of 1800\text{ m}. She buys 'high calorie' energy bars which…
  58. Q261 mark · multiple choice· CAPE Physics Unit 1 · 2013 · Paper 1As light travelling in air enters a medium, its speed changes to 2.4 \times 10^8\text{ m s}^{-1}. The refractive index of the medium is
  59. Q271 mark · multiple choice· CAPE Physics Unit 1 · 2013 · Paper 1X-rays differ from microwaves in that they
  60. Q291 mark · multiple choice· CAPE Physics Unit 1 · 2013 · Paper 1In Young's double slit experiment, the separation between the slits is halved and the distance between the slits and screen is doubled. The fringe width is
  61. Q91 mark · multiple choice· CAPE Physics Unit 1 · 2014 · Paper 1Which of the following statements would be true for an INELASTIC collision? I. The total amount of momentum is not conserved. II. The total amount of kinetic energy is not conserved. III. The total amount of momentum…
  62. Q101 mark · multiple choice· CAPE Physics Unit 1 · 2014 · 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…
  63. Q111 mark · multiple choice· CAPE Physics Unit 1 · 2014 · Paper 1Which of the following statements BEST describes the motion of a geostationary satellite?
  64. Q131 mark · multiple choice· CAPE Physics Unit 1 · 2014 · 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
  65. Q141 mark · multiple choice· CAPE Physics Unit 1 · 2014 · Paper 1A body falls from a cliff 80\text{ m} above the ground. If it loses 25\% of its energy overcoming friction, what is its velocity on impact with the ground? [g = 9.8\text{ N kg}^{-1}]
  66. Q231 mark · multiple choice· CAPE Physics Unit 1 · 2014 · Paper 1As light travelling in air enters a medium, its speed changes to 2.4 \times 10^8\text{ m s}^{-1}. The refractive index of the medium is
  67. Q61 mark · multiple choice· CAPE Physics Unit 1 · 2015 · Paper 1What is the gravitational field strength of a planet whose mass is one-third that of the Earth's and whose radius is one-half that of the Earth's? (The gravitational field strength of Earth is g.)
  68. Q91 mark · multiple choice· CAPE Physics Unit 1 · 2015 · Paper 1Which of the following pairs of phrases is MOST appropriate for describing elastic and inelastic collisions?
  69. Q101 mark · multiple choice· CAPE Physics Unit 1 · 2015 · 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…
  70. Q131 mark · multiple choice· CAPE Physics Unit 1 · 2015 · Paper 1If m is the mass of an object and E its kinetic energy, then its linear momentum is
  71. Q141 mark · multiple choice· CAPE Physics Unit 1 · 2015 · Paper 1Two cars of equal mass move with velocities V_A and V_B respectively. When the ratio of their kinetic energies is \frac{3}{2}, what is the ratio of their velocities?
  72. Q151 mark · multiple choice· CAPE Physics Unit 1 · 2015 · Paper 1What is the power of an engine that delivers a driving force of 200\text{ N} and causes a body to move at a velocity of 15\text{ m s}^{-1}?
  73. Q221 mark · multiple choice· CAPE Physics Unit 1 · 2015 · Paper 1In a double slit experiment using a monochromatic light source of wavelength 400\text{ nm}, the distance between the bright fringes was found to be 8.0\text{ mm}. If the screen is 5\text{ m} from the double slit,…
  74. Q251 mark · multiple choice· CAPE Physics Unit 1 · 2015 · Paper 1Which of the following statements is NOT true about reflection or refraction?
  75. Q271 mark · multiple choice· CAPE Physics Unit 1 · 2015 · Paper 1At what angle does the second order constructive interference occur for red light of wavelength 700\text{ nm} through a diffraction grating that has 600\text{ lines per mm}?
  76. Q281 mark · multiple choice· CAPE Physics Unit 1 · 2015 · Paper 1As light travelling in air enters a medium, its speed changes to 2.4 \times 10^8\text{ m s}^{-1}. The refractive index of the medium is
  77. Q291 mark · multiple choice· CAPE Physics Unit 1 · 2015 · Paper 1In Young's double slit experiment, the separation between the slits is halved and the distance between the slits and screen is doubled. The fringe width is
  78. Q111 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1What is the gravitational field strength of a planet whose mass is one-third that of the Earth's and whose radius is one-half that of Earth's? (The gravitational field strength of Earth is g.)
  79. Q121 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1Two cars that have the same kinetic energy travel with a velocity V_1 and V_2 respectively. If the mass of the first car is twice the mass of the second car, then which of the following expressions represents the…
  80. Q131 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1A body falls from a cliff 80\text{ m} above the ground. If it loses 25\% of its energy overcoming friction, what is its velocity on impact with the ground?
  81. Q141 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1A rotating blade operating for 100\text{ seconds} generates a power of 8\text{ kW} to surrounding areas. If the input energy is 1.0 \times 10^6\text{ J}, what percentage of energy is lost as heat, assuming that no…
  82. Q231 mark · multiple choice· CAPE Physics Unit 1 · 2016 · Paper 1Which of the following regions of the EMS has wavelengths within the range 4 \times 10^{-7}\text{ m} to 7.5 \times 10^{-7}\text{ m}?
  83. Q91 mark · multiple choice· CAPE Physics Unit 1 · 2017 · Paper 1Which of the following pairs of phrases is MOST appropriate for describing elastic and inelastic collisions?
  84. Q131 mark · multiple choice· CAPE Physics Unit 1 · 2017 · Paper 1If m is the mass of an object and E its kinetic energy, then its linear momentum is
  85. Q141 mark · multiple choice· CAPE Physics Unit 1 · 2017 · Paper 1Item 14 refers to the following diagram which represents the track of a roller coaster. At which point, Q, R, S or T, on the roller coaster track does the cart have maximum kinetic energy and minimum potential energy?
  86. Q221 mark · multiple choice· CAPE Physics Unit 1 · 2017 · Paper 1In a double slit experiment using a monochromatic light source of wavelength 400\text{ nm}, the distance between the bright fringes is found to be 8.0\text{ mm}. If the screen is 5.0\text{ m} from the double slit,…
  87. Q271 mark · multiple choice· CAPE Physics Unit 1 · 2017 · Paper 1At what angle does the second order constructive interference occur for red light of wavelength 700\text{ nm} through a diffraction grating that has 600\text{ lines per mm}?
  88. 1(g)3 marks· CAPE Physics Unit 1 · May/June 2023 · Paper 2With the aid of a sketch, explain why the equation E_p = mgh (where g = 9.81 m s^-2) cannot be used to calculate the potential energy of an orbiting Earth satellite.
  89. 3(d)(v)2 marks· CAPE Physics Unit 1 · May/June 2024 · Paper 2State TWO reasons why the cycle in Figure 6 is NOT 100% efficient.
  90. 1(a)(iii)2 marks· CAPE Physics Unit 1 · May/June 2025 · Paper 2Differentiate between a 'perfectly elastic collision' and an 'inelastic collision'.
  91. 1(b)(iii)1 mark· CAPE Physics Unit 1 · May/June 2025 · Paper 2Write an expression for the total kinetic energy of the system before the collision.
  92. 1(b)(iv)1 mark· CAPE Physics Unit 1 · May/June 2025 · Paper 2Write an expression for the total kinetic energy of the system after the collision.
  93. 1(c)(ii)5 marks· CAPE Physics Unit 1 · May/June 2025 · Paper 2Determine whether the collision is perfectly elastic or inelastic.
  94. 1(a)(iv)1 mark· Physics · Unit 1 Q1 1(a)(iv)Define Kinetic energy and state if it is a vector or scalar quantity.
  95. 1(a)(iv)2 marks· Physics · Unit 1 Q1 1(a)(iv)State, with a reason, whether the collision between the block and the ball is elastic or not.
  96. 1(b)2 marks· Physics · Unit 1 Q1 1(b)Use the graph you have plotted on page 5 to estimate the work done on the lead to bring it to the surface.
  97. 1(b)(i)1 mark· Physics · Unit 1 Q1 1(b)(i)In which picture does the ball have maximum potential energy?
  98. 1(b)(ii)2 marks· Physics · Unit 1 Q1 1(b)(ii)Show that the gravitational potential energy of the rock is -1.77 × 10^7 J.
  99. 1(b)(ii)1 mark· Physics · Unit 1 Q1 1(b)(ii)In which picture does the ball have maximum kinetic energy?
  100. 1(b)(iii)2 marks· Physics · Unit 1 Q1 1(b)(iii)How much potential energy has the ball lost from Picture 1 to Picture 6, if the ball weighs 2 N?
  101. 1(b)(iv)2 marks· Physics · Unit 1 Q1 1(b)(iv)Calculate the maximum potential energy gained by the ball in this throw.
  102. 1(c)4 marks· Physics · Unit 1 Q1 1(c)Stating any assumptions you made, calculate the speed at which the lead of mass 1 kg exits the glass tube.
  103. 1(d)2 marks· Physics · Unit 1 Q1 1(d)Comment on the values of the velocity immediately before and after the collision. Give a reason for your answer.
  104. 3(b)2 marks· Physics · Unit 1 Q3 3(b)By estimating the area under the graph, find the work done in stretching the wire by 4.0 mm.
  105. 3(b)(i)5 marks· Physics · Unit 1 Q3 3(b)(i)Use the graph to find the work done in extending the spring up to Point B.
  106. 3(c)(ii)2 marks· Physics · Unit 1 Q3 3(c)(ii)What is the work done in stretching the wire from an extension of 3.1 mm to an extension of 6.2 mm?
  107. 4(a)3 marks· Physics · Unit 1 Q4 4(a)Explain what is meant by energy and distinguish between potential energy and kinetic energy.
  108. 4(a)(i)3 marks· Physics · Unit 1 Q4 4(a)(i)Define 'energy' and distinguish between 'kinetic energy' and 'gravitational potential energy'.
  109. 4(a)(i)6 marks· Physics · Unit 1 Q4 4(a)(i)Distinguish between the 'kinetic energy' and the 'gravitational potential energy' of a body near the Earth's surface and write an expression for EACH.
  110. 4(a)(ii)4 marks· Physics · Unit 1 Q4 4(a)(ii)Show that the kinetic energy, EK, of a body of mass, m, moving with speed, v, is given by the expression EK = (1/2)mv².
  111. 4(a)(ii)1 mark· Physics · Unit 1 Q4 4(a)(ii)Explain why it is possible for the TOTAL mechanical energy of a system to be negative, but NOT its kinetic energy.
  112. 4(a)(iii)1 mark· Physics · Unit 1 Q4 4(a)(iii)Explain why the work done by the centripetal force on the mass is zero.
  113. 4(b)(i)5 marks· Physics · Unit 1 Q4 4(b)(i)What do you understand by the conservation of energy? Illustrate your answer by making reference to the energy changes when a body falls to the ground.
  114. 4(b)(i)2 marks· Physics · Unit 1 Q4 4(b)(i)Define the term 'work', stating an appropriate unit for its measurement.
  115. 4(b)(i)2 marks· Physics · Unit 1 Q4 4(b)(i)Calculate the gymnast's speed at Q.
  116. 4(b)(i)7 marks· Physics · Unit 1 Q4 4(b)(i)Calculate the velocity of the skier at Point B, the end of the track.
  117. 4(b)(ii)1 mark· Physics · Unit 1 Q4 4(b)(ii)Hence derive an expression for the velocity of the body as it hits the ground.
  118. 4(b)(ii)b)1 mark· Physics · Unit 1 Q4 4(b)(ii)b)Calculate the total kinetic energy of the two objects before the collision, given that m₁ = 8.5 kg.
  119. 4(b)(ii)c)1 mark· Physics · Unit 1 Q4 4(b)(ii)c)Was this an elastic collision? Explain why or why not.
  120. 4(c)(i)12 marks· Physics · Unit 1 Q4 4(c)(i)From an energy consideration, calculate the work done by the engine.
  121. 4(c)(ii)1 mark· Physics · Unit 1 Q4 4(c)(ii)From an energy consideration, calculate the driving force of the engine.
  122. 4(c)(iii)1 mark· Physics · Unit 1 Q4 4(c)(iii)From an energy consideration, calculate the power developed by the engine at 30 m s⁻¹.
  123. 4(c)(iii)1 mark· Physics · Unit 1 Q4 4(c)(iii)Calculate the loss of kinetic energy of the car.
  124. 4(c)(iv)1 mark· Physics · Unit 1 Q4 4(c)(iv)Determine the work done by the resisting force of 4500 N in bringing the car to rest.
  125. 4(c)(v)1 mark· Physics · Unit 1 Q4 4(c)(v)Explain why the quantities in (c)(iii) and (c)(iv) are NOT equal.
  126. 4(d)4 marks· Physics · Unit 1 Q4 4(d)explain what principle is observed and why energy is NOT conserved.
  127. 5(a)(i)3 marks· Physics · Unit 1 Q5 5(a)(i)A body of mass m is accelerated from rest to a speed v by the application of a constant force. Derive the equation E_k = (1/2)mv² for the kinetic energy of the body.
  128. 5(a)(i)a)8 marks· Physics · Unit 1 Q5 5(a)(i)a)What is kinetic energy?
  129. 5(a)(i)b)1 mark· Physics · Unit 1 Q5 5(a)(i)b)What is potential energy?
  130. 5(a)(ii)1 mark· Physics · Unit 1 Q5 5(a)(ii)A satellite is launched from the ground and placed in an orbit with a height of 900 km. Why does the equation ΔE_p = mgh NOT apply to this situation?
  131. 5(a)(ii)1 mark· Physics · Unit 1 Q5 5(a)(ii)A body of mass m starts from rest and acquires a velocity, v. Show that the kinetic energy of the mass, m, is given by E_k = (1/2)mv².
  132. 5(a)(ii)b)1 mark· Physics · Unit 1 Q5 5(a)(ii)b)Describe how the conservation of energy applies in EACH case.
  133. 5(a)(iii)5 marks· Physics · Unit 1 Q5 5(a)(iii)The car on a roller coaster (Figure 6) is travelling at 12 m s⁻¹ at the top of a hill but a short time later when it reaches the bottom of the hill, 35 m below, it is travelling much faster. Assuming frictional losses…
  134. 5(b)(i)1 mark· Physics · Unit 1 Q5 5(b)(i)What was the gain in potential energy of the load?
  135. 5(b)(ii)2 marks· Physics · Unit 1 Q5 5(b)(ii)Find the power output of the winch motor.
  136. 5(b)(ii)1 mark· Physics · Unit 1 Q5 5(b)(ii)Determine whether the collisions are elastic or inelastic.
  137. 5(b)(ii)1 mark· Physics · Unit 1 Q5 5(b)(ii)Find the work done on the box during the first 5 m of movement.
  138. 5(b)(iii)3 marks· Physics · Unit 1 Q5 5(b)(iii)The winch has an efficiency of 70%. How much electrical power is required by the winch's motor?
  139. 5(b)(iii)1 mark· Physics · Unit 1 Q5 5(b)(iii)Find the kinetic energy of the box after it has moved 8 metres.
  140. 5(c)(i)6 marks· Physics · Unit 1 Q5 5(c)(i)Calculate the speed at which any object will reach the ground after being released from rest from a height of 11 000 m. (Air resistance may be neglected in this calculation).
  141. 5(c)(ii)1 mark· Physics · Unit 1 Q5 5(c)(ii)An aeroplane of mass 170 x 10³ kg cruises at 900 km hr⁻¹ (250 m s⁻¹). The maximum permitted landing speed is 180 km hr⁻¹ (50 m s⁻¹). Determine the kinetic energy that must be 'lost' before landing.
  142. 6(c)(i)6 marks· Physics · Unit 1 Q6 6(c)(i)Calculate the power developed by the heater.
  143. 7(b)(iv)12 marks· Physics · Unit 1 Q7 7(b)(iv)the average power required to accelerate the piston from rest to the speed found in (b)(ii).