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Gravitational potential: AQA A‑Level Physics questions

AQA A-Level Physics past-paper questions on 3.7.2.3 Gravitational potential, 2008–2025, with mark schemes and examiner’s reports where available.

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  2. Q04.3

    June 2025 · Paper 2

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  3. Q04.4

    June 2025 · Paper 2

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  4. Q23

    June 2024 · Paper 2

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  5. Q03.2

    June 2023 · Paper 2

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  6. Q03.5

    June 2023 · Paper 2

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  7. Q04.5

    June 2022 · Paper 2

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  8. Q02.3

    November 2021 · Paper 2

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  9. Q02.4

    November 2021 · Paper 2

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  10. Q11

    November 2021 · Paper 2

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  11. Q13

    November 2021 · Paper 2

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  12. Q12

    November 2020 · Paper 2

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  13. Q03.1

    June 2019 · Paper 2

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  14. Q03.2

    June 2019 · Paper 2

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  16. Q08

    June 2019 · Paper 2

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  17. Q14

    June 2018 · Paper 2

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  18. Q15

    June 2018 · Paper 2

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  19. Q16

    June 2018 · Paper 2

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  20. Q17

    June 2018 · Paper 2

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All 51 questions on Gravitational potential, as a list
  1. 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
  2. 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
  3. 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
  4. 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.
  5. 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
  6. 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
  7. 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]
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. June 2019, Paper 2, Q03.1 (1 mark): Define gravitational potential at a point. [1 mark]
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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 
  19. 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
  20. 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
  21. 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
  22. 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
  23. June 2016, PHYA4 Section A (old spec), Q10 (1 mark): X and Y are two stars of equal mass M. The distance between their centres is d. What is the gravitational potential at the mid-point P between them? A ––– B – –
  24. June 2015, PHYA4 Section A (old spec), Q12 (1 mark): Which one of the following statements about gravitational potential is incorrect? A It is analogous to the electric potential at a point in an electric field. B
  25. June 2014, PHYA4 Section A (old spec), Q11 (1 mark): Which one of the following statements about gravitational potential is correct? A Gravitational potential can have a positive value. B The gravitational potenti
  26. June 2014, PHYA4 Section A (old spec), Q18 (1 mark): A uniform electric field of electric field strength E is aligned so it is vertical. An ion moves vertically through a small distance Δd from point X to point Y
  27. June 2013, PHYA4 Section A (old spec), Q14 (1 mark): Mars has a diameter approximately 0.5 that of the Earth, and a mass of 0.1 that of the Earth. The gravitational potential at the Earth’s surface is –63MJkg–1. W
  28. January 2013, PHYA4 Section A (old spec), Q13 (1 mark): The diagram shows two points, P and Q, at distances r and 2r from the centre of a planet. The gravitational potential at P is –16kJkg–1. What is the work done o
  29. June 2012, PHYA4 Section A (old spec), Q11 (1 mark): Which one of the following statements about gravitational fields is incorrect? A Moving a mass in the direction of the field lines reduces its potential energy.
  30. June 2012, PHYA4 Section B (old spec), Q4(a) (2 marks): Define the gravitational potential at a point in a gravitational field. (2 marks)
  31. June 2012, PHYA4 Section B (old spec), Q4(b)(i) (3 marks): The gravitational potential at the Earth’s surface is –62.6MJkg–1. Point X shown in Figure 5 is on the line of centres between the Earth and the Moon At X the r
  32. June 2012, PHYA4 Section B (old spec), Q4(b)(ii) (1 mark): Explain why, once the probe is beyond X, no further energy would have to be supplied in order for it to reach the surface of the Moon. (1 mark)
  33. June 2012, PHYA4 Section B (old spec), Q4(b)(iii) (2 marks): In the vicinity of the Earth’s orbit the gravitational potential due to the Sun’s mass is –885MJkg–1. With reference to the variation in gravitational potential
  34. June 2012, PHYA4 Section B (old spec), Q4(c) (6 marks): The amount of energy required to move a manned spacecraft from the Earth to the Moon is much greater than that required to return it to the Earth. By reference
  35. January 2012, PHYA4 Section A (old spec), Q12 (1 mark): The gravitational potential at the surface of the Earth, of radius R, is V. What is the gravitational potential at a point at a height R above the Earth’s surfa
  36. June 2011, PHYA4 Section A (old spec), Q12 (1 mark): At the surface of the Earth the gravitational field strength is g, and the gravitational potential is V. The radius of the Earth is R. An object, whose weight o
  37. January 2011, PHYA4 Section A (old spec), Q10 (1 mark): The diagram shows two positions, X and Y, on the Earth’s surface. Which line, A to D, in the table gives correct comparisons at X and Y for gravitational potent
  38. January 2011, PHYA4 Section A (old spec), Q12 (1 mark): As a comet orbits the Sun the distance between the comet and the Sun continually changes. As the comet moves towards the Sun this distance reaches a minimum val
  39. June 2010, PHYA4 Section A (old spec), Q10 (1 mark): The gravitational potential difference between the surface of a planet and a point P, 10m above the surface, is 8.0Jkg–1. Assuming a uniform field, what is the
  40. January 2010, PHYA4 Section A (old spec), Q12 (1 mark): Which one of the following could be a unit of gravitational potential? A N B J C Nkg–1 D Jkg–1
  41. January 2010, PHYA4 Section B (old spec), Q3(a)(i) (1 mark): State the relationship between the gravitational potential energy, Ep, and the gravitational potential, V, for a body of mass m placed in a gravitational field.
  42. January 2010, PHYA4 Section B (old spec), Q3(a)(ii) (2 marks): What is the effect, if any, on the values of Ep and V if the mass m is doubled? value of Ep value of V (2 marks)
  43. January 2010, PHYA4 Section B (old spec), Q3(b)(i) (2 marks): Calculate the radius, from the centre of the Earth, of orbit A. answer = m (2 marks)
  44. January 2010, PHYA4 Section B (old spec), Q3(b)(ii) (1 mark): Show that the radius of orbit B is approximately 1.1 × 104km. (1 mark)
  45. January 2010, PHYA4 Section B (old spec), Q3(b)(iv) (1 mark): Show that the gravitational potential energy of a 330kg satellite decreases by about 8GJ when it moves from orbit A to orbit B. (1 mark)
  46. January 2010, PHYA4 Section B (old spec), Q3(c) (1 mark): Explain why it is not possible to use the equation ∆Ep = mg∆h when determining the change in the gravitational potential energy of a satellite as it moves betwe
  47. June 2008, PA04A (2008 spec), Q9 (2 marks): 9 Which one of the following has different units to the other three? A gravitational potential gradient B gravitational Þ eld strength C force per unit mass D g
  48. June 2008, PA04B (2008 spec), Q3(b) (5 marks): 3 (b) (i) From the graph, estimate the potential energy lost by the 1000 kg mass as it falls to the surface of the Moon from a very large distance above it. Exp
  49. June 2008, PA10 (2008 spec), Q4(b) (5 marks): 4 (b) Jupiter has a mean radius of 7.1 × 10 7 m and a mass of 1.92 × 10 27 kg. 4 (b) (i) Show that the gravitational potential due to Jupiter at its surface is
  50. January 2008, PA04A (2008 spec), Q10 (2 marks): 10 The diagram shows two objects of equal mass m separated by a distance r. Which line, A to D, in the table gives the correct values of the gravitational field
  51. January 2008, PA04A (2008 spec), Q11 (2 marks): 11 Mars has a diameter approximately 0.5 that of the Earth, and a mass of 0.1 that of the Earth. If the gravitational potential at the Earth’s surface is –63 MJ

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