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Gravitational fields: AQA A‑Level Physics questions

Every AQA A-Level Physics exam question on 3.7.2 Gravitational fields, 2016–2025, with its mark scheme and examiner’s report.

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2,714 questions

  1. Q04.1

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 04.1: Mimas and Enceladus are moons of Saturn. Mimas orbits at a height of 1.28 × 108 m above the surface of Saturn. The orbital period of Mimas is 0.94 Earth days. E
  2. Q04.2

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 04.2: A student suggests that, over the range of distances shown in Figure 2, the gravitational field strength due to the mass of Saturn alone is approximately consta
  3. Q04.3

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 04.3: At a point P, the resultant gravitational field strength due to Saturn and Titan is zero. Determine, using the solid line in Figure 2, the distance from Saturn
  4. Q04.4

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 04.4: The centre of Titan is 12.22 × 108 m from the centre of Saturn. Show that the gravitational potential due to the mass of Titan at a distance of 12.08 × 108 m fr
  5. Q06.1

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 06.1: Student A suggests that the gravitational force acting on the ion due to Jupiter provides the centripetal acceleration of the ion. Deduce whether this suggestio
  6. Q07

    June 2025 · Paper 2

    Mark scheme (PDF)
    The whole paper ↗
    June 2025 Paper 2, question 07: [multiple choice] An object on the surface of a moon has an escape velocity v. The moon has a density ρ and radius R. Another moon X has a density 2ρ and radius
  7. Q05.1

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 05.1: The resultant force on S1 is due to the gravitational forces from the Earth and the Moon. The magnitude of the Earth’s gravitational field strength at the orbit
  8. Q05.2

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 05.2: Calculate the distance from S1 to the centre of the Moon. mass of the Moon = 7.35 × 1022 kg [2 marks] distance = m
  9. Q05.3

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 05.3: Another satellite S2 is placed in a circular orbit between the Earth and the Moon. S2 always views the near side of the Moon. S2 also has the same angular speed
  10. Q21

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 21: A synchronous orbit of the Earth has a radius R. A planet has a mass twice the mass of the Earth. A day on the planet is one quarter of an Earth day. What is th
  11. Q22

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 22: An asteroid has a mass of 2 × 1017 kg and an escape velocity of 40 m s−1. What is the order of magnitude of the radius of the asteroid? [1 mark] A 103 m B 104 m
  12. Q23

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 23: The diagram shows the gravitational field for a binary star system consisting of two stars X and Y of equal mass. Equipotential lines are shown as solid lines.
  13. Q03.1

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 03.1: Describe two properties of a radial gravitational field. [2 marks] 1 2
  14. Q03.2

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 03.2: State the physical significance of the shaded area in Figure 3. [1 mark] At the Earth’s surface, • the gravitational field strength of the Sun is gS • the gravi
  15. Q03.3

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 03.3: Calculate g g S E . distance from the Earth to the Sun = 1.50 × 1011 m [2 marks] g g S E =
  16. Q03.4

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 03.4: Explain why gS is more important than gE in predicting the motion of the space probe as it escapes from the Solar System. [1 mark]
  17. Q03.5

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 03.5: The space probe eventually reaches a point where the gravitational influence of the Solar System is negligible. The probe is unpowered as it approaches an isola
  18. Q11

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 11: Data are collected for the mass M, radius R and escape velocity u for each planet in the Solar System. The data show that u is directly proportional to [1 mark]
  19. Q12

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 12: A satellite is in a circular orbit at a height h above the surface of a planet of mass M and radius R. What is the linear speed of the satellite? [1 mark] A ( )
  20. Q13

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 13: Which statement is not true for a satellite in a geostationary orbit? [1 mark] A The satellite orbits in the plane of the Earth’s equator. B The satellite has t
All 79 questions on Gravitational fields, as a list
  1. June 2025, Paper 2, Q04.1 (3 marks): Mimas and Enceladus are moons of Saturn. Mimas orbits at a height of 1.28 × 108 m above the surface of Saturn. The orbital period of Mimas is 0.94 Earth days. E
  2. June 2025, Paper 2, Q04.2 (1 mark): A student suggests that, over the range of distances shown in Figure 2, the gravitational field strength due to the mass of Saturn alone is approximately consta
  3. June 2025, Paper 2, Q04.3 (1 mark): At a point P, the resultant gravitational field strength due to Saturn and Titan is zero. Determine, using the solid line in Figure 2, the distance from Saturn
  4. June 2025, Paper 2, Q04.4 (3 marks): The centre of Titan is 12.22 × 108 m from the centre of Saturn. Show that the gravitational potential due to the mass of Titan at a distance of 12.08 × 108 m fr
  5. June 2025, Paper 2, Q06.1 (3 marks): Student A suggests that the gravitational force acting on the ion due to Jupiter provides the centripetal acceleration of the ion. Deduce whether this suggestio
  6. June 2025, Paper 2, Q07 (1 mark): [multiple choice] An object on the surface of a moon has an escape velocity v. The moon has a density ρ and radius R. Another moon X has a density 2ρ and radius
  7. June 2024, Paper 2, Q05.1 (3 marks): The resultant force on S1 is due to the gravitational forces from the Earth and the Moon. The magnitude of the Earth’s gravitational field strength at the orbit
  8. June 2024, Paper 2, Q05.2 (2 marks): Calculate the distance from S1 to the centre of the Moon. mass of the Moon = 7.35 × 1022 kg [2 marks] distance = m
  9. June 2024, Paper 2, Q05.3 (3 marks): Another satellite S2 is placed in a circular orbit between the Earth and the Moon. S2 always views the near side of the Moon. S2 also has the same angular speed
  10. June 2024, Paper 2, Q21 (1 mark): A synchronous orbit of the Earth has a radius R. A planet has a mass twice the mass of the Earth. A day on the planet is one quarter of an Earth day. What is th
  11. June 2024, Paper 2, Q22 (1 mark): An asteroid has a mass of 2 × 1017 kg and an escape velocity of 40 m s−1. What is the order of magnitude of the radius of the asteroid? [1 mark] A 103 m B 104 m
  12. June 2024, Paper 2, Q23 (1 mark): The diagram shows the gravitational field for a binary star system consisting of two stars X and Y of equal mass. Equipotential lines are shown as solid lines.
  13. June 2023, Paper 2, Q03.1 (2 marks): Describe two properties of a radial gravitational field. [2 marks] 1 2
  14. June 2023, Paper 2, Q03.2 (1 mark): State the physical significance of the shaded area in Figure 3. [1 mark] At the Earth’s surface, • the gravitational field strength of the Sun is gS • the gravi
  15. June 2023, Paper 2, Q03.3 (2 marks): Calculate g g S E . distance from the Earth to the Sun = 1.50 × 1011 m [2 marks] g g S E =
  16. June 2023, Paper 2, Q03.4 (1 mark): Explain why gS is more important than gE in predicting the motion of the space probe as it escapes from the Solar System. [1 mark]
  17. June 2023, Paper 2, Q03.5 (4 marks): The space probe eventually reaches a point where the gravitational influence of the Solar System is negligible. The probe is unpowered as it approaches an isola
  18. June 2023, Paper 2, Q11 (1 mark): Data are collected for the mass M, radius R and escape velocity u for each planet in the Solar System. The data show that u is directly proportional to [1 mark]
  19. June 2023, Paper 2, Q12 (1 mark): A satellite is in a circular orbit at a height h above the surface of a planet of mass M and radius R. What is the linear speed of the satellite? [1 mark] A ( )
  20. June 2023, Paper 2, Q13 (1 mark): Which statement is not true for a satellite in a geostationary orbit? [1 mark] A The satellite orbits in the plane of the Earth’s equator. B The satellite has t
  21. June 2022, Paper 2, Q04.1 (2 marks): Compare, with reference to Figure 4, the masses of G and H. [2 marks]
  22. June 2022, Paper 2, Q04.2 (1 mark): X and Y are two points in the field. Annotate Figure 4 to show the field direction at X and the field direction at Y. [1 mark]
  23. June 2022, Paper 2, Q04.3 (1 mark): A spherical asteroid P has a mass of 2.0 × 1020 kg. The gravitational field strength at its surface is 0.40 N kg−1. Calculate the radius R of P. [1 mark] R = m
  24. June 2022, Paper 2, Q04.4 (1 mark): Sketch, on Figure 5, the variation of the gravitational field strength g with distance r. The distance r is measured from the centre of P. [1 mark] Figure 5
  25. June 2022, Paper 2, Q04.5 (2 marks): Explain what is represented by the area under the graph between r = R and r = 2R on Figure 5. [2 marks]
  26. June 2022, Paper 2, Q04.6 (4 marks): The gravitational force on P from G is 6.38 × 1012 N. The mass of H is 3.00 × 1025 kg and the mass of P is 2.00 × 1020 kg. The distance HP is 1.50 × 1011 m. Cal
  27. June 2022, Paper 2, Q04.7 (1 mark): Explain why P cannot have a circular orbit around H. [1 mark]
  28. June 2022, Paper 2, Q09 (1 mark): A planet of radius R and mass M has a gravitational field strength of g at its surface. Which row describes a planet with a gravitational field strength of 4g a
  29. June 2022, Paper 2, Q10 (1 mark): The Moon orbits the Earth in 27 days. What is the angular speed of the Moon’s orbit? [1 mark] A 4.3 × 10−7 rad s−1 B 2.7 × 10−6 rad s−1 C 3.7 × 10−2 rad s−1 D 2
  30. June 2022, Paper 2, Q11 (1 mark): The radius of the Earth is R and the acceleration due to gravity at the surface of the Earth is g. What is the escape velocity for a mass m at the surface of th
  31. June 2022, Paper 2, Q12 (1 mark): A planet has a mass M and a radius R. Loose material at the equator only just remains in contact with the surface of the planet. This is because the speed at wh
  32. June 2022, Paper 2, Q13 (1 mark): Satellites N and F have the same mass and move in circular orbits about the same planet. The orbital radius of N is less than that of F. Which is smaller for N
  33. November 2021, Paper 2, Q02.1 (2 marks): One GPS satellite is in a circular orbit at a height h above the surface of the Earth. The Earth has mass M and radius R. Show that the angular speed of the sat
  34. November 2021, Paper 2, Q02.2 (2 marks): Calculate the orbital period of the satellite when h equals 2.02 × 107 m. [2 marks] orbital period = s
  35. November 2021, Paper 2, Q02.3 (2 marks): Figure 3 shows the orbital plane of the satellite inclined at an angle to the equator. X, Y and Z are locations on the Earth. X is at the North Pole, Y is on a
  36. November 2021, Paper 2, Q02.4 (2 marks): The satellite has a mass of 1630 kg. Calculate the gravitational potential energy of the satellite when in the orbit in Question 02.2. [2 marks] gravitational p
  37. November 2021, Paper 2, Q02.5 (2 marks): A different satellite is in a higher circular orbit. Explain how the linear speed of this satellite compares with the linear speed of the satellite in Question
  38. November 2021, Paper 2, Q11 (1 mark): The diagram shows gravitational equipotentials. Adjacent equipotentials are separated by an equal gravitational potential difference V. Which point has the grea
  39. November 2021, Paper 2, Q12 (1 mark): A planet has radius R and density ρ. The gravitational field strength at the surface is g. What is the gravitational field strength at the surface of a planet o
  40. November 2021, Paper 2, Q13 (1 mark): The diagram shows equipotential lines for a uniform gravitational field. The lines are separated by 20 m. An object of mass 4 kg is moved from P to Q. What is t
  41. November 2020, Paper 2, Q02.1 (3 marks): Show that k = 2 4 GM π [3 marks]
  42. November 2020, Paper 2, Q02.2 (2 marks): Calculate the orbital radius X of Umbriel. [2 marks] orbital radius = m
  43. November 2020, Paper 2, Q02.3 (3 marks): Calculate the mass of Uranus. [3 marks] mass = kg
  44. November 2020, Paper 2, Q02.4 (3 marks): Deduce which moon in Table 3 has the greatest escape velocity for an object on its surface. Assume the effect of Uranus is negligible. [3 marks]
  45. November 2020, Paper 2, Q02.5 (3 marks): A spring mechanism can project an object vertically to a maximum height of 1.0 m from the surface of the Earth. Determine whether the same mechanism could proje
  46. November 2020, Paper 2, Q12 (1 mark): The graph shows how the gravitational potential V varies with the vertical distance d from the surface of the Earth. What does the gradient of the graph represe
  47. November 2020, Paper 2, Q13 (1 mark): What is the angular speed of a satellite in a geostationary orbit around the Earth? [1 mark] A 1.2 × 10−5 rad s−1 B 7.3 × 10−5 rad s−1 C 4.4 × 10−3 rad s−1 D 2.
  48. June 2019, Paper 2, Q03.1 (1 mark): Define gravitational potential at a point. [1 mark]
  49. June 2019, Paper 2, Q03.2 (1 mark): Figure 2 shows the positions of equipotential surfaces at different distances from the centre of the Moon. Figure 2 Explain how the equipotential surfaces in Fi
  50. June 2019, Paper 2, Q03.3 (4 marks): Calculate, using Figure 2, the escape velocity at the surface of the Moon. radius of Moon = 1.74 × 106 m [4 marks] escape velocity = m s−1
  51. June 2019, Paper 2, Q04.6 (2 marks): The student says that the gravitational force between the two spheres has no significant effect on the angle at which the spheres are in equilibrium. Deduce wit
  52. June 2019, Paper 2, Q08 (1 mark): Which row shows two scalar quantities? [1 mark] A gravitational potential gravitational field strength B mass gravitational potential C gravitational field stre
  53. June 2019, Paper 2, Q09 (1 mark): What is the angular speed of a satellite in a geostationary orbit around the Earth? [1 mark] A 1.2 × 10–5 rad s–1 B 7.3 × 10–5 rad s–1 C 4.2 × 10–3 rad s–1 D 2.
  54. June 2019, Paper 2, Q10 (1 mark): A planet of mass M and radius R rotates so quickly that material at its equator only just remains on its surface. What is the period of rotation of the planet?
  55. June 2019, Paper 2, Q11 (1 mark): Satellites N and F have the same mass and are in circular orbits about the same planet. The orbital radius of F is greater than that of N. Which is greater for
  56. June 2019, Paper 2, Q12 (1 mark): An object moves freely at 90° to the direction of a gravitational field. The acceleration of the object is [1 mark] A zero. B opposite to the direction of the g
  57. June 2018, Paper 2, Q13 (1 mark): The distance between the Sun and the Earth is 1.5 × 1011 m What is the gravitational force exerted on the Sun by the Earth? [1 mark] A 3.5 × 1022 N B 1.7 × 1026
  58. June 2018, Paper 2, Q14 (1 mark): The graph shows how the gravitational potential varies with distance between two planets, K and L, that have the same radius. Which statement is correct? [1 mar
  59. June 2018, Paper 2, Q15 (1 mark): The diagram shows equipotential lines near a group of asteroids. Which arrow shows the direction of the gravitational field at X? [1 mark] A  B  C  D 
  60. June 2018, Paper 2, Q16 (1 mark): Planet N has a gravitational potential –V at its surface. Planet M has double the density and double the radius of planet N. Both planets are spherical and have
  61. June 2018, Paper 2, Q17 (1 mark): A spacecraft of mass 1.0 × 106 kg is in orbit around the Sun at a radius of 1.1 × 1011 m The spacecraft moves into a new orbit of radius 2.5 × 1011 m around the
  62. June 2018, Paper 2, Q18 (1 mark): Which graph shows the relationship between the time period T and the orbital radius r of a planet in orbit around the Sun? [1 mark] A B C D A B C D
  63. June 2018, Paper 2, Q19 (1 mark): The Earth can be assumed to be a uniform sphere of radius R. What is the mean density of the Earth? [1 mark] A 3g 4πRG B 3RG 4πg C 3G 4πRg D 3Rg 4πG
  64. June 2017, Paper 2, Q06.1 (1 mark): State what is represented by gravitational field lines. [1 mark]
  65. June 2017, Paper 2, Q06.2 (2 marks): Figure 6 shows the gravitational field above a small horizontal region on the surface of the Earth. Figure 6 Suggest why the field lines converge over a small a
  66. June 2017, Paper 2, Q06.3 (2 marks): A ball travelling at constant speed passes position J moving towards position K in Figure 6. Assume friction is negligible. Explain any change in the speed of t
  67. June 2017, Paper 2, Q07.1 (2 marks): Derive an expression to show that for satellites in a circular orbit T2 ∝ r3 where T is the period of orbit and r is the radius of the orbit. [2 marks]
  68. June 2017, Paper 2, Q07.2 (2 marks): Pluto is a dwarf planet. The mean orbital radius of Pluto around the Sun is 5.91 × 109 km compared to a mean orbital radius of 1.50 × 108 km for the Earth. Calc
  69. June 2017, Paper 2, Q07.3 (3 marks): A small mass released from rest just above the surface of Pluto has an acceleration of 0.617 m s−2. Assume Pluto has no atmosphere that could provide any resist
  70. June 2017, Paper 2, Q07.4 (3 marks): Figure 8 shows the variation in gravitational potential with distance from the centre of Pluto for points at and above its surface. Figure 8 A meteorite hits Pl
  71. June 2017, Paper 2, Q12 (1 mark): Charon is a moon of Pluto that has a mass equal to that of Pluto. The distance between the centre of Pluto and the centre of Charon is d. X is the point at whic
  72. June 2017, Paper 2, Q13 (1 mark): The distance between the Sun and Mars varies from 2.1 × 1011 m to 2.5 × 1011 m. When Mars is closest to the Sun, the force of gravitational attraction between t
  73. June 2017, Paper 2, Q14 (1 mark): A satellite X of mass m is in a concentric circular orbit of radius R about a planet of mass M. What is the kinetic energy of X? [1 mark] A GMm 2R B GMm R C 2GM
  74. Specimen, Paper 2, Q06.1 (2 marks): Read the following passage and answer the questions that follow Satellites used for telecommunications are usually in geostationary orbits. Using suitable dishe
  75. Specimen, Paper 2, Q06.2 (1 mark): Read the following passage and answer the questions that follow Satellites used for telecommunications are usually in geostationary orbits. Using suitable dishe
  76. Specimen, Paper 2, Q06.4 (3 marks): Read the following passage and answer the questions that follow Satellites used for telecommunications are usually in geostationary orbits. Using suitable dishe
  77. Specimen, Paper 2, Q08 (1 mark): A planet has a radius half the Earth's radius and a mass a quarter of the Earth's mass. What is the approximate gravitational field strength on the surface of t
  78. Specimen, Paper 2, Q09 (1 mark): Two stars of mass M and 4M are at a distance d between their centres. The resultant gravitational field strength is zero along the line between their centres at
  79. Specimen, Paper 2, Q10 (1 mark): Which of the following statements about Newton’s law of gravitation is correct? Newton’s gravitational law explains [1 mark] A the origin of gravitational force

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