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Hooke’s law and stiffness: Edexcel International A Level Physics questions

Edexcel International A Level Physics past-paper questions on 1.4.2.1 Hooke’s law and stiffness, 2019–2025, with mark schemes and examiner’s reports where available.

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2,865 questions

  1. Q17(a)

    June 2025 · AS Unit 1

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  2. Q6

    January 2025 · AS Unit 1

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  3. Q12

    October 2024 · AS Unit 1

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  4. The start of question 17

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  5. Q19(a)(i)

    October 2024 · Unit 5

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  6. Q5

    June 2024 · AS Unit 1

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  7. Q7

    January 2024 · AS Unit 1

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  8. Q10

    June 2023 · AS Unit 1

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  9. Q4(c)(i)

    June 2023 · AS Unit 3

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  10. Q4(c)(iv)

    June 2023 · AS Unit 3

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  11. Q15(b)(ii)

    January 2023 · AS Unit 1

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  12. Q3(b)(iii)

    January 2023 · AS Unit 3

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  13. Q8

    October 2022 · AS Unit 1

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  16. Q10

    June 2022 · AS Unit 1

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  17. Q17(b)(i)

    June 2022 · Unit 5

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  18. Q16(c)

    January 2022 · AS Unit 1

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  19. Q3

    October 2021 · AS Unit 1

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  20. Q18(a)(i)

    October 2021 · Unit 5

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All 33 questions on Hooke’s law and stiffness, as a list
  1. June 2025, AS Unit 1, Q17(a) (4 marks): A force‑extension graph for a sample of one of the strings is shown below. 80 60 Force / N 40 20 0 0 10 20 30 Extension / mm The table shows the stiffness for s
  2. January 2025, AS Unit 1, Q6 (1 mark): When a force F is applied to a spring of stiffness k, the extension of the spring is Δx. A force 2F is applied to a second spring of stiffness 3k. Which of the
  3. October 2024, AS Unit 1, Q12 (2 marks): A student has a spring of length 0.18 m. The spring has a stiffness constant of 25 N m −1. The student applies a force of 7.0 N to stretch the spring. Calculate
  4. October 2024, AS Unit 1, Q17(a) (6 marks): Explain how the acceleration of the student changes as she moves from Position A to Position C. Assume that air resistance is negligible. (6)
  5. October 2024, Unit 5, Q19(a)(i) (3 marks): Show that the stiffness of the spring is about 45 N m –1. (3)
  6. June 2024, AS Unit 1, Q5 (1 mark): Which of the following expressions gives the stiffness of the spring? − A q p R q B R C R q R D q − p
  7. January 2024, AS Unit 1, Q7 (1 mark): A force is applied to stretch a spring. The graph shows how the length of the spring varies with the applied force. Applied force 0 Length of spring Which of th
  8. June 2023, AS Unit 1, Q10 (1 mark): Two identical springs are arranged in series. A force of 45.0 N is applied to the springs, as shown. 45.0 N The springs extend a total distance of 15 mm. Which
  9. June 2023, AS Unit 3, Q4(c)(i) (2 marks): Explain why a graph of cos 2 Δx can be used to determine a value   for g. (2)
  10. June 2023, AS Unit 3, Q4(c)(iv) (2 marks): Determine a value for g from the gradient of the graph. m = 1.20 kg k = 145 N m –1 (2) g =
  11. January 2023, AS Unit 1, Q15(b)(ii) (2 marks): The extension of the spring was 4.6 × 10 Calculate the stiffness of the spring. (2) Stiffness =
  12. January 2023, AS Unit 3, Q3(b)(iii) (1 mark): The student replaced the load with a small piece of modelling clay, as shown. support spring l modelling clay He measured l to be 8.4 cm. Determine the weight W
  13. October 2022, AS Unit 1, Q8 (1 mark): When a certain spring is stretched by a tensile force F, the elastic energy stored in the spring is E. Three of these springs are arranged in parallel and stret
  14. October 2022, AS Unit 1, Q12(b)(i) (2 marks): Show that the stiffness of the wire is about 1.3 × 104 N m–1. (2)
  15. June 2022, AS Unit 1, Q7 (1 mark): Two arrangements, P and Q, of identical springs are subjected to the same tensile force F as shown. Q P F F F F When one spring is subjected to a tensile force
  16. June 2022, AS Unit 1, Q10 (1 mark): When compressed by a force of 50 N, a spring had a length of 12.0 cm. When compressed by a force of 70 N, the same spring had a length of 7.1 cm. Which of the f
  17. June 2022, Unit 5, Q17(b)(i) (2 marks): The board obeys Hooke’s law as it deforms. Show that the stiffness of the diving board is about 4000 N m–1. (2)
  18. January 2022, AS Unit 1, Q16(c) (2 marks): Determine the stiffness of the spring. (2) Stiffness =
  19. October 2021, AS Unit 1, Q3 (1 mark): Two different springs, S1 and S2, are suspended from a fixed support. Masses are attached to the bottom of S1 and S2 as shown. fixed support S1 S2 x 3 x 2m m Th
  20. October 2021, Unit 5, Q18(a)(i) (2 marks): When the crib supports a mass of 15.0 kg the spring extends by 42.5 cm. Show that the stiffness of the spring is about 350 N m−1. (2)
  21. June 2021, AS Unit 1, Q17(a) (2 marks): The greater the length of a rope, the smaller the stiffness of the rope. Explain why. (2)
  22. June 2021, AS Unit 1, Q17(b)(i) (3 marks): Show that the stiffness k of the nylon rope is about 1.4 × 105 N m−1 . (3)
  23. June 2021, AS Unit 1, Q17(b)(ii) (3 marks): The pulley system lifts the 5.00 kN weight at a steady rate. Determine the extension of the rope while the lift is taking place. (3) Extension of rope =
  24. June 2021, Unit 5, Q17(b)(i) (2 marks): Show that the stiffness k of the spring is about 26 N m−1. (2)
  25. January 2021, AS Unit 1, Q5 (1 mark): A student is investigating a material in the form of a wire. Which of the following properties of the wire will change if a longer wire is used? A breaking stre
  26. January 2021, AS Unit 1, Q17(a) (2 marks): The force meter allows force to be measured by means of Hooke’s law. The extension of the spring inside the force meter allows the stretching force to be read f
  27. January 2021, AS Unit 1, Q17(b) (6 marks): When m is equal to 0.55 kg, the value of P is 8.5 N. Calculate the value of θ, and the extension of the spring in the force meter. (6) θ = Extension of the spri
  28. October 2020, AS Unit 1, Q16(c) (4 marks): A third student repeated the investigation using two new springs connected in series as shown. The springs were identical to the spring used in the original inv
  29. October 2020, Unit 5, Q20(b) (5 marks): Calculate the maximum kinetic energy of the oscillating mass. (5) Maximum kinetic energy =
  30. January 2020, AS Unit 1, Q17(a)(ii) (3 marks): Determine the stiffness k of the elastic cord. mass of glider = 300 g (3) k =
  31. June 2019, AS Unit 3, Q2(a) (4 marks): Describe what the student should do to obtain the data to plot the force-extension graph. (4)
  32. June 2019, AS Unit 3, Q2(b) (2 marks): Explain how you would use the graph to determine the stiffness of the spring. (2)
  33. January 2019, AS Unit 1, Q9 (1 mark): The stiffness constant and the Young modulus are terms used in physics. Which row of the table shows the correct application of these terms? Stiffness constant

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