# How much work would it take to push a 2 kg  weight up a  5 m  plane that is at an incline of  pi / 12 ?

Apr 15, 2016

$W = {E}_{p} = 15 , 21 J$

#### Explanation:

$\text{data:}$
$g = 9 , 81 \frac{N}{k g}$

$m = 2 k g$

$l = 5 m$

$\theta = \frac{\pi}{12}$

W=?

$h = l \cdot \sin \left(\frac{\pi}{12}\right)$

$h = 5 \cdot \sin \left(\frac{\pi}{12}\right)$

$h = 1 , 29 m$

$W = {E}_{p} = m \cdot g \cdot h$

$W = {E}_{p} = 15 , 21 J$