# How much work would it take to push a  9 kg  weight up a  1 m  plane that is at an incline of  pi / 4 ?

##### 1 Answer
Jun 23, 2018

The work is $= 62.37 J$

#### Explanation:

The work is equal to the gain of potential energy

$W = P E$

The potential energy is

$P E = m g h$

The mass of the object is $m = 9 k g$

The acceleration due to gravity is $g = 9.8 m {s}^{-} 2$

The height is $h = 1 \cdot \sin \left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2} m$

Therefore,

$P E = 9 \cdot 9.8 \cdot \frac{\sqrt{2}}{2} = 62.37 J$