# How much work would it take to push a  5 kg  weight up a  7 m  plane that is at an incline of  pi / 4 ?

Jun 4, 2017

THe work is $= 242.5 J$

#### Explanation:

The component of the weight perpendicular to the plane does not do work. only the component parallel does.

The mass is $m = 5 k g$

The distance is $s = 7 m$

The angle is $\theta = \frac{1}{4} \pi$

The work is

$W = m g \sin \theta \cdot s$

$W = 5 g \sin \left(\frac{1}{4} \pi\right) \cdot 7$

$= 242.5 J$