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Work, power and energy transfers

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When a force moves an object, it does work and transfers energy. Power is how quickly that happens.

Work done

work done = force × distance moved in the direction of the force, E = F × d
Work is measured in joules. 1 J = 1 N moving 1 m.

Power

power = work donetime, P = Et
Unit: watts (W). 1 W = 1 J per second.

Energy diagrams

Energy transfers can be shown in diagrams. Work done against friction is usually wasted, heating the surroundings.
Worked example

A crane lifts a 2000 N load 15 m in 30 s. Find the work done and the power.

  1. Work = 2000 × 15 = 30 000 J
  2. Power = 30 000 ÷ 30 = 1000 W

Answer: 30 000 J and 1000 W

Key idea

Work done = force × distance in joules. Power = work ÷ time in watts. Work against friction is mostly wasted as heat.

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