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S4 Physics Work, Energy and Power Practice Paper 2 | Conservation of Energy, Work against Friction and Efficiency – 10 Questions with Answers

S4 Physics Work, Energy and Power Practice Paper 2 | Conservation of Energy, Work against Friction and Efficiency – 10 Questions with Answers

  • 2026-11-01

S4 Physics Work, Energy and Power Practice Paper 2 | Conservation of Energy, Work against Friction and Efficiency – 10 Questions with Answers

The second set of ten work and energy questions, practising conservation of energy, work against friction, sliding down a slope and efficiency, each with an answer and a one-line explanation.

Direct answers This paper has 10 questions, all solvable in one step with conservation of energy or W = Fs; suggested time 25 minutes.

01 Paper details (check answers afterwards)

Item Detail
Questions 10
Suggested time 25 minutes
Difficulty mix Foundation 3 · Intermediate 4 · Challenge 2 · Error redo 1
Chapter S4 Physics: Work, Energy and Power
Level S4 (DSE)

02 Questions (10 items)

  1. FoundationA box is pushed 5 m along a horizontal floor by a horizontal force of 40 N. How much work is done?
  2. FoundationA ball of mass 4 kg moves at 5 m/s. What is its kinetic energy?
  3. FoundationA 3 kg book is lifted from the floor to a shelf 4 m high. How much gravitational potential energy does it gain?
  4. IntermediateA hoist does 900 J of work in 30 s. What is its power?
  5. IntermediateA machine takes in 500 J and gives out 250 J of useful work. What is its efficiency?
  6. IntermediateA 2 kg object slides down from a height of 5 m and reaches the ground at 8 m/s. How much energy is lost?
  7. IntermediateA 30 kg sandbag is lifted 4 m in 20 s. Find the work done and the power.
  8. ChallengeA 4 kg object falls from a height of 10 m, losing 100 J to air resistance on the way. Find its landing speed.
  9. ChallengeA 5 kg block slides down a frictionless slope 3 m long and 1.2 m high. Find the potential energy lost and the final speed.
  10. Error redoA student says ‘a power of 500 W means 500 J of work has been done in total’. What is wrong with this?

03 Answers and one-line notes

# Answer One-line note
1 W = Fs = 40 * 5 = 200 J. W = Fs applies because the force and the displacement are in the same direction.
2 KE = 1/2 mv^2 = 1/2 * 4 * 5^2 = 50 J. Kinetic energy is proportional to the square of the speed.
3 PE = mgh = 3 * 10 * 4 = 120 J. Take g = 10 m/s^2.
4 P = W / t = 900 / 30 = 30 W. The unit of power is the watt, which is one joule per second.
5 Efficiency = 250 / 500 * 100% = 50%. Efficiency is always less than 100%.
6 Initial potential energy 100 J, final kinetic energy 64 J, so 36 J is lost (as heat and sound). With friction, potential energy does not all become kinetic energy.
7 W = 30 * 10 * 4 = 1 200 J; P = 1 200 / 20 = 60 W. Work out the work first, then divide by the time.
8 1/2 mv^2 = 4 * 10 * 10 – 100 = 300 J, so v = sqrt(300 * 2 / 4) = approx. 12.2 m/s. Use conservation of energy: potential energy minus the work done against resistance equals the final kinetic energy.
9 Loss in potential energy = 5 * 10 * 1.2 = 60 J; v = sqrt(2 * 10 * 1.2) = approx. 4.9 m/s. Without friction the final speed depends only on the height, not on the length of the slope.
10 500 W means 500 J of work is done every second; the total work depends on how many seconds pass, W = Pt. Power is a rate, not a total amount.

04 What to do after marking

  • After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
  • Repeat the same item two days later; move to the next paper only when both attempts are correct.
  • Parents only need the answer and note columns; there is no need to explain every item.

Read the S4 Physics: Work, Energy and Power chapter notes first, then work through all ten questions and mark them against the answers.Tutor Registration →

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