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)