# How much work would it take to push a # 1 kg # weight up a # 3m # plane that is at an incline of # pi / 4 #?

##### 1 Answer

This requires 20.8 J of work done.

#### Explanation:

The definition of work is

but care must be taken in using the formula as the angle

Here, the force we work against is the force of gravity, so the angle in the above formula is the one between the incline and the vertical.

This means it is not

So, if the mass of the object is

since