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Work, Energy and Power

11 min read

Work

In physics work is done when a force moves an object in the direction of the force. Pushing a heavy box across the floor is work. Holding it still is not, because nothing moves.

Work (joules) = force (newtons) × distance moved in the direction of the force (metres). 1 J = 1 N × 1 m.
  • work done (J)
  • force (N)
  • distance moved (m)
Worked exampleLifting a bucket

A girl lifts a 50 N bucket up 3 m. How much work does she do?

  1. Force needed = weight = 50 N. Distance = 3 m.
  2. Calculate.

Answer: She does 150 J of work.

Energy

Energy is the ability to do work. It is also measured in joules. Two common forms of mechanical energy are kinetic energy (energy of motion) and potential energy (stored energy, for example because of height).

Kinetic energy and gravitational potential energy.
Energy on a rampA ball rolls down a ramp. At the top it has only potential energy; halfway down it has some of each; at the bottom it has only kinetic energy. The total stays the same.tophalfwaybottompotentialkineticPE + KE = constant
Try itA falling ball

A 2 kg ball is dropped from 10 m. Slide its height. Potential energy turns into kinetic energy and the total stays constant (air resistance ignored).

Power

Power is the rate of doing work. The unit is the watt (W): 1 W = 1 J/s.
Worked examplePower of a machine

A motor lifts a load and does 6 000 J of work in 20 s. What is its power?

  1. Use P = W ÷ t.

Answer: The power is 300 W.

Check yourself A force of 20 N moves a box 5 m. How much work is done?
Check yourself A 2 kg object moves at 3 m/s. What is its kinetic energy?

Key terms

Work
Force times the distance moved in its direction.
Energy
The ability to do work, in joules.
Power
Work done per second, in watts.
Conservation of energy
Energy is never lost, only changed in form.

Summary

  • Work W = F × d (joules).
  • Kinetic energy ½mv²; potential energy mgh.
  • Energy is conserved: it changes form but the total is constant.
  • Power P = W ÷ t (watts).