# How much work would it take to push a 9 kg  weight up a  4 m  plane that is at an incline of  pi / 12 ?

Apr 4, 2017

The work is $= 91.3 J$

#### Explanation:

The weight is $= 9 g N$

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

Distance, $d = 4 m$

The component of the weight parallel to the plane is

$F = W \sin \theta = 9 g \sin \left(\frac{\pi}{12}\right)$

The work done is

$W = F \cdot d = 9 g \sin \left(\frac{\pi}{12}\right) \cdot 4 = 91.3 J$