# How much work would it take to push a  4 kg  weight up a  15 m  plane that is at an incline of  pi / 4 ?

$416.203 \setminus J$

#### Explanation:

Assuming that there is no friction on the plane i.e. there is no loss of energy then the work done, on the weight of $4 \setminus k g$ to push up a distance of $15 \setminus m$ on the plane inclined at an angle $\setminus \theta = \setminus \frac{\pi}{4}$ , is equal to the change in potential energy to lift weight to a vertical height $15 \setminus \sin \left(\setminus \frac{\pi}{4}\right)$ given as follows

$M g h$

$= 4 \setminus \cdot 9.81 \setminus \cdot 15 \setminus \sin \left(\setminus \frac{\pi}{4}\right)$

$= 416.203 \setminus J$