# How are work and power related?

Mar 4, 2018

Work is the energy needed to apply a force to move an object a particular distance, where force is parallel to the displacement. Power is the rate at which that work is done.

#### Explanation:

Some possible units for each
Work $= F \cdot d = N \cdot m = J = \frac{k g {m}^{2}}{s} ^ 2$
Power $= F \cdot \frac{d}{t} = F \cdot v = \frac{N \cdot m}{s} = W = \frac{J}{s} = \frac{k g {m}^{2}}{s} ^ 3$

Mar 13, 2018

As an example, a racing car and a family sedan might have the same mass. To get both moving at a speed of 30 m/s requires the same amount of work. However, since the racing car has more power, it can reach that speed in a shorter amount of time,