Lesson MC1-MC4

MC1-MC4 Work, potential and kinetic energy, Hooke's law Quiz: AQA Further Maths, Unit 3

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson MC1-MC4, Work, potential and kinetic energy, Hooke's law: 20 multiple choice questions for the AQA Further Maths (7367), Unit 3: Optional application 1: mechanics, written with Revision Ninja.

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The 20 questions

  1. What is the work done by a constant force F moving an object a distance d at angle theta to the direction of motion?

    • F + d cos(theta)
    • F/d
    • F d cos(theta)
    • F d sin(theta)

  2. What type of quantity is work?

    • A scalar measured in newton seconds
    • A scalar measured in joules
    • A vector measured in joules per second
    • A vector measured in newtons

  3. Which pair of units is equivalent to the joule?

    • N s, or kg m s^-1
    • N m, or kg m^2 s^-2
    • kg m s^-2, or N s
    • W s^-1, or kg m s^-2

  4. Which expression gives the change in gravitational potential energy of a mass m raised through height h?

    • mgh
    • (1/2) m h^2
    • mg/h
    • m v^2 / 2

  5. Which expression gives kinetic energy?

    • (1/2) m v
    • m v^2
    • m g h
    • (1/2) m v^2

  6. For a spring with natural length l and modulus lambda, which expression gives the tension T when extended by x?

    • T = k x^2
    • T = l x/lambda
    • T = (lambda/l) x
    • T = lambda l x

  7. Which expression gives the elastic potential energy stored in a stretched string with modulus lambda, natural length l and extension x?

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

  8. A force of 10 N acts at 60 degrees to the direction of motion of a body moving 5 m. What is the work done?

    • 5 J
    • 43.3 J
    • 50 J
    • 25 J

  9. A body of mass 4 kg moves at 3 m/s. What is its kinetic energy?

    • 12 J
    • 6 J
    • 36 J
    • 18 J

  10. A spring has modulus lambda = 20 N, natural length l = 0.5 m and extension x = 0.1 m. What is the tension?

    • 4 N
    • 0.4 N
    • 40 N
    • 2 N

  11. A spring has modulus 20 N, natural length 0.5 m and extension 0.1 m. What is the elastic potential energy?

    • 0.4 J
    • 2 J
    • 0.1 J
    • 0.2 J

  12. A 2 kg body slides freely from rest down a smooth slope, dropping 1.25 m vertically. Taking g = 10 m/s^2, what is its speed at the bottom?

    • 5 m/s
    • 2.5 m/s
    • 12.5 m/s
    • 25 m/s

  13. A 5 kg mass is lifted 2 m at constant speed. How much work is done against gravity, with g = 10 m/s^2?

    • 50 J
    • 200 J
    • 10 J
    • 100 J

  14. A force of 20 N acts at 30 degrees to the direction of motion over 4 m. What is the work done?

    • 40 J
    • 10 sqrt(3) J
    • 20 sqrt(3) J
    • 40 sqrt(3) J

  15. A force of 10 N acts directly opposing the motion of a body moving 5 m. What is the work done by the force?

    • 0 J
    • 50 J
    • -50 J
    • -25 J

  16. A spring of natural length 0.5 m and modulus 10 N is extended to 0.7 m. What is the elastic potential energy?

    • 2 J
    • 0.4 J
    • 0.2 J
    • 4 J

  17. A 2 kg particle falls freely from rest through 4 m with g = 10 m/s^2. What is its speed after falling 4 m?

    • 8 m/s
    • 2 sqrt(5) m/s
    • 10 m/s
    • 4 sqrt(5) m/s

  18. A spring has modulus 20 N and natural length 1 m. What is the work done in extending it from 0 to 0.3 m?

    • 0.9 J
    • 0.3 J
    • 6 J
    • 1.8 J

  19. A constant force of 5 N acts in the direction of motion and moves its body 3 m. What is the work done?

    • 8 J
    • 2 J
    • 1.67 J
    • 15 J

  20. A 3 kg body is at rest at height 4 m above the ground. Taking g = 10 m/s^2, what is its gravitational potential energy relative to the ground?

    • 12 J
    • 30 J
    • 40 J
    • 120 J

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