# How much work would it take to push a  9 kg  weight up a  3 m  plane that is at an incline of  pi / 4 ?

Feb 4, 2016

$W = 132 , 435 \sqrt{2}$$\text{Joules}$

#### Explanation:

$\theta = \frac{180}{\cancel{\pi}} \cdot \frac{\cancel{\pi}}{4}$
$\theta = {45}^{o}$
$\sin {45}^{o} = \frac{\sqrt{2}}{2}$
$h = 3 \cdot \sin {45}^{o}$
$h = 3 \cdot \frac{\sqrt{2}}{2}$$h e i g h t$
$W = m \cdot g \cdot h$
$\text{Work=Potential Energy}$
$W = 9 \cdot 9 , 81 \cdot 3 \cdot \frac{\sqrt{2}}{2}$
$W = 132 , 435 \sqrt{2}$$\text{Joules}$