大象传媒

The work done equation

is done when energy is transferred from one store to another. Work is also done when a force causes an object to move. When work is done against frictional forces acting on an object, the object鈥檚 temperature increases. For example, a person鈥檚 hands warm up when they rub them together repeatedly.

Learn more on work done and energy transfer in this podcast

Calculating work done

To calculate the on an object when a force moves it, use the equation:

work done = force 脳 distance

This is when:

  • work done is measured in joules (J)
  • force is measured in newtons (N)
  • distance moved along the line of action of the force is measured in metres (m)

Note that one joule of work is done when a force of one newton causes a movement of one metre. This means that work done can also be measured in newton-metres (Nm).

1 J = 1 Nm

It is important not to confuse newton-metres (a unit of work done) with Newton meters (calibrated spring balances used to measure weights).

Example

A doctor weighs 600 N. A lift moves her 40 m to the top floor of a hospital. Calculate the work done on the doctor by the lift.

work done = force 脳 distance

work done = 600 N 脳 40 m

work done = 24,000 J (or 24 kJ)

Question

In a scrum, a rugby team pushes the other team backwards 5 m using a force of 1,000 N. Calculate the work done moving the other team.