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Work and energy – WJECWork

Work and energy looks at GPE, KE and elastic energy, and how they are conserved. It also looks at the relationship between force and extension, as well as how car features absorb energy in a crash.

Part of Physics (Single Science)Forces, space and radioactivity

Work

Work is done when a force acts on a moving body. Work is done whenever a force moves something.

Everyday examples of work include walking up stairs, lifting heavy objects, pulling a sledge and pushing a shopping trolley.

A man pushes a box with a force of 10 newtons to move it a distance of 2 metres.
Figure caption,
A man pushes a box with a force of 10 newtons to move it a distance of 2 metres

Calculating work done

A triangle with "work done" at the apex. "Force times distance" runs along its base. A horizontal line separates the two lines of text.

Here is the equation that relates to work done, force applied, and distance moved in the direction of the force.

\(\text{Work done} = {\text{Force}}\times{\text{Distance}}\)

\(\text{W} = {\text{F}}\times{\text{d}}\)

where

W is measured in joules, J

F is measured in newtons, N

d is measured in metres, m

In the example above, 10 N is applied to move the box 2 m.

Work done = 10 × 2 = 20 J

The triangle above will help you to rearrange the equation.

Work done has the same units as energy - joules. This is because energy is the ability to do work. You must have energy to do work. You do not have to do work if you have energy though - potential energy does not do work. Specifically, in the example above, a person could not push the box (and so do work) without energy. Work done is equal to energy transferred, ie work = energy transferred.

An object can possess energy as a result of its:

  • position (potential energy)
  • motion (kinetic energy)
  • deformation (elastic energy)