Lesson 3C.2.1

3C.2.1 Work, kinetic and potential energy Quiz: Pearson Edexcel Further Maths, Unit 26

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 3C.2.1, Work, kinetic and potential energy: 20 multiple choice questions for the Pearson Edexcel Further Maths (9FM0), Unit 26: Kinetic and potential energy, written with Revision Ninja.

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The 20 questions

  1. What is the kinetic energy of a particle of mass m moving with speed v?

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

  2. What is the gravitational potential energy gained by a mass m raised vertically through height h?

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

  3. What is the work done by a constant force F moving its point of application a distance d, with the force at angle theta to the displacement?

    • F / d
    • F d sin(theta)
    • F d cos(theta)
    • F d^2

  4. Which statement is the work-energy principle?

    • The work done by the resultant force equals the change in potential energy
    • The total energy of a system is always equal to the work done
    • The work done by the resultant force equals the change in kinetic energy
    • The work done equals the impulse applied to the body

  5. What is the SI unit of work and energy?

    • The joule, J, equal to N m
    • The newton second, N s
    • The newton, N
    • The watt, W

  6. Power for a constant force F in the direction of motion, with speed v, is which expression?

    • F t
    • F / v
    • work done times time
    • F v

  7. Under what condition is mechanical energy conserved?

    • When only conservative forces do work on the system
    • When friction acts on the particle
    • Whenever momentum is conserved
    • When the resultant force on the particle is zero

  8. A particle of mass 5 kg is raised through a vertical height of 3 m, with g = 9.8 m/s^2. What is the gain in gravitational potential energy?

    • 15 J
    • 49 J
    • 1470 J
    • 147 J

  9. A particle of mass 2 kg has speed 6 m/s. What is its kinetic energy?

    • 18 J
    • 36 J
    • 12 J
    • 72 J

  10. A particle is dropped from rest from a height of 5 m, with g = 9.8 m/s^2 and no resistance. What is its speed on reaching the ground, to 2 decimal places?

    • 9.90 m/s
    • 98 m/s
    • 5.00 m/s
    • 4.95 m/s

  11. A constant force of 10 N acts at 60 degrees to the horizontal and moves its point of application 5 m horizontally. What work is done?

    • 25 J
    • 50 J
    • 43.3 J
    • 8.66 J

  12. A pump does 500 J of work in 20 s. What is its average power?

    • 25 W
    • 0.04 W
    • 10 W
    • 500 W

  13. A car of mass 800 kg increases its speed from 10 m/s to 20 m/s. What is the work done by the resultant force?

    • 120 kJ
    • 240 kJ
    • 80 kJ
    • 40 kJ

  14. A ball of mass 0.5 kg is thrown vertically upwards at 12 m/s with no air resistance, and g = 9.8 m/s^2. What is the maximum height reached, to 2 decimal places?

    • 6.12 m
    • 7.35 m
    • 12 m
    • 14.7 m

  15. A particle of mass m slides from rest down a smooth incline from a height of 2 m. Which statement about its speed at the bottom is correct, with g = 9.8 m/s^2?

    • Its speed is about 6.26 m/s only if the incline is steeper than 45 degrees
    • Its speed is about 19.6 m/s, since v = 2gh
    • Its speed is about 3.13 m/s, since half of the energy is lost
    • Its speed is about 6.26 m/s, independent of the angle of the incline

  16. A particle of mass 4 kg slides on a rough horizontal floor with speed 8 m/s and friction of 6 N acts on it. How far does it travel before stopping, to 1 decimal place?

    • 16 m
    • 21.3 m
    • 10 m
    • 60 m

  17. A particle of mass 2 kg slides down a smooth incline of length 5 m at 30 degrees to the horizontal, from rest, with g = 9.8 m/s^2. What is its speed at the bottom?

    • 9.9 m/s
    • 3.5 m/s
    • 4.9 m/s
    • 7 m/s

  18. A particle of mass 3 kg is pulled up a rough slope by a constant force of 40 N along the slope for 4 m. It rises 2 m vertically, starts from rest and reaches 3 m/s, with g = 9.8 m/s^2. What is the work done against friction?

    • 87.7 J
    • 146.5 J
    • 58.8 J
    • 160 J

  19. A car engine delivers 15 kW and the car moves at a constant 25 m/s. What is the driving force, assuming it is constant and along the motion?

    • 600 N
    • 60 N
    • 375 N
    • 6000 N

  20. A student claims that mechanical energy is always conserved even when friction acts. Which evaluation is correct?

    • True: mechanical energy is always conserved
    • False: friction does negative work and converts mechanical energy to heat, so mechanical energy is lost
    • True, provided the speed is constant
    • False, because potential energy is always lost

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