⚡ Physics

Work Done and Power: Formulas and Worked Examples

Calculate the work done by a force and the power of a machine or appliance, with step-by-step examples and practice questions.

  • ⏱ 3 min read
  • ✏️ 3 worked examples
  • 🎯 5 practice questions
  • 📶 Beginner
KS3GCSEMiddle SchoolHigh School

Curriculum fit: GCSE Physics and Combined Science (energy; forces). US: middle and high school physical science (energy and work).

On this page

What Is It?

Work is done when a force makes something move. The more force you use, or the further the object moves, the more work is done. The work done equals the energy transferred.

Power tells you how fast work is done or energy is transferred. A more powerful machine transfers the same energy in less time.

force F (N)distance d (m)Work done W = F × d (joules)Power P = W ÷ t (watts = J/s)
Work done is the energy transferred by a force. Power is how fast that energy is transferred, and one watt is one joule per second.

Key Formulas and Ideas

  • Work done W = force × distance moved in the direction of the force (W = Fs). Unit: joule (J).
  • Power P = work done ÷ time = energy transferred ÷ time. Unit: watt (W), where 1 W = 1 J/s.
  • Electrical power P = V × I.

Worked Examples

Example 1

Work Done

Question

A 50 N force pushes a box 4 m. Find the work done.

  1. W = F × s.
  2. = 50 × 4 = 200.

✓ Answer 200 J

Example 2

Power

Question

A motor does 600 J of work in 20 s. Find its power.

  1. P = W ÷ t.
  2. = 600 ÷ 20 = 30.

✓ Answer 30 W

Example 3

Lifting

Question

Find the work done lifting a 10 kg load through 3 m (g = 9.8 N/kg).

  1. Weight = 10 × 9.8 = 98 N.
  2. W = 98 × 3 = 294.

✓ Answer 294 J

Common Mistakes to Avoid

  • Forgetting that distance must be in the direction of the force.
  • Mixing up work (J) and power (W).
  • Using the mass instead of the weight as the force.
  • Not converting minutes to seconds.

Practice Questions

0 of 5 answered
Q1A force of 20 N moves an object 5 m. Work done?
Q2400 J transferred in 8 s. Power?
Q3Which unit measures power?
Q4A 12 V supply and a current of 2 A give a power of…
Q5Work done equals…

Frequently Asked Questions

Is work done when you hold a heavy bag still?

In physics no work is done on the bag, because it does not move, even though your muscles get tired.

What does 1 watt mean?

One joule of energy transferred each second.

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Sources and Review

Reviewed by StudyMorrow editorial review on 5 Nov 2026.