# How much work would it take to push a 8 kg  weight up a  5 m  plane that is at an incline of  pi / 12 ?

Feb 20, 2016

$W \cong 101 , 56 J$

#### Explanation:

$\alpha = \frac{\pi}{12} \cdot \frac{180}{\pi} = {15}^{o}$
$h = 5 \cdot \sin {15}^{o} \cong 1 , 294 m$
${E}_{p} = m \cdot g \cdot h$
$\text{Potential energy gained by object raised from ground}$
${E}_{p} = W \text{ work done equal to the Potential Energy}$
$W = m \cdot g \cdot h$
$W = 8 \cdot 9 , 81 \cdot 1 , 294$
$W \cong 101 , 56 J$