Lesson 6.02g-k

6.02g-k Hooke's law, conservation of energy and power Quiz: OCR Further Maths, Unit 3

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 6.02g-k, Hooke's law, conservation of energy and power: 20 multiple choice questions for the OCR Further Maths (H245), Unit 3: Mechanics (Y543), written with Revision Ninja.

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The 20 questions

  1. What is the Hooke's law formula relating tension F, modulus of elasticity, extension x, and natural length l?

    • F = \lambda l / x
    • F = \lambda x l
    • F = \lambda x / l
    • F = \lambda x^2 / 2l

  2. What is the formula for elastic potential energy stored in a stretched string of natural length l?

    • \lambda x / (2l)
    • \lambda x / l
    • \lambda x^2 / l
    • \lambda x^2 / (2l)

  3. How is stiffness k related to modulus of elasticity lambda and natural length l?

    • k = \lambda^2 l
    • k = \lambda / l
    • k = l / \lambda
    • k = \lambda l

  4. What formula gives the instantaneous power delivered by a force F moving at speed v?

    • P = Fv
    • P = F v^2
    • P = F / v
    • P = v / F

  5. What is the SI unit for the modulus of elasticity lambda?

    • Watt
    • Newton per metre
    • Joule
    • Newton

  6. What is the SI unit for stiffness or spring constant k?

    • N m^-2
    • N m^-1
    • N m
    • J m^-1

  7. Work done by non-conservative forces equals the change in total what?

    • Kinetic energy only
    • Mechanical energy
    • Potential energy only
    • Momentum

  8. Power is defined as the rate of doing what?

    • Force
    • Acceleration
    • Work
    • Momentum

  9. A string of length 1 m and modulus 50 N is stretched by 0.2 m. What is the tension?

    • 5 N
    • 250 N
    • 10 N
    • 2.5 N

  10. A string with modulus 40 N and natural length 2 m has extension 0.5 m. What is its stored EPE?

    • 1.25 J
    • 5 J
    • 10 J
    • 2.5 J

  11. A car moves at constant speed 20 m s^-1 against resistance 600 N. What is the engine power?

    • 120 kW
    • 3 kW
    • 12 kW
    • 30 kW

  12. How much work is needed to stretch a spring with stiffness 100 N m^-1 by 0.4 m?

    • 8 J
    • 20 J
    • 16 J
    • 40 J

  13. A mass m hangs in equilibrium from a vertical spring of stiffness k. What is its extension?

    • mg / (2k)
    • k / mg
    • 2mg / k
    • mg / k

  14. A closed system loses 20 J of GPE while storing 12 J of EPE. What is its kinetic energy gain?

    • 32 J
    • 8 J
    • 240 J
    • 1.67 J

  15. Tension in a string of modulus 60 N and natural length 1.5 m is 30 N. What is the extension?

    • 3 m
    • 0.75 m
    • 1.25 m
    • 0.5 m

  16. What is the work done stretching a spring of stiffness k from extension x1 to extension x2?

    • 0.5 k (x2^2 - x1^2)
    • 0.5 k (x2 + x1)
    • k (x2^2 - x1^2)
    • 0.5 k (x2 - x1)^2

  17. A mass m drops from rest at ceiling attached to string length l. At maximum drop d, what holds?

    • mgd = lambda d^2 / 2l
    • mg(d-l) = lambda d^2 / 2l
    • mgl = lambda d^2 / 2l
    • mgd = lambda(d-l)^2 / 2l

  18. At what position does a vertical mass-spring system achieve its maximum speed after release from rest?

    • Point of release
    • Maximum extension
    • Equilibrium position
    • Natural length

  19. A car operates at constant maximum power P against resistance kv. What is its maximum speed v?

    • sqrt(P / mk)
    • P / (mk)
    • sqrt(P / k)
    • P / k

  20. Why does Hooke's law cease to apply when an elastic string is compressed beyond natural length?

    • The string slacks
    • The string breaks
    • Modulus changes
    • Energy is lost

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