# How much work would it take to push a 6 kg  weight up a  3 m  plane that is at an incline of  pi / 12 ?

Jan 29, 2016

45.70j

#### Explanation:

now,
we know, work is the dot product of force and displacement
so,

$W = F \cdot S$

$W = m g \cdot 3 \sin \left(\frac{\pi}{12}\right)$

$= 6 \cdot 9.81 \cdot 3 \sin \left(\frac{\pi}{12}\right)$

$= 176.58 \cdot 0.258819045$

$= 45.70 j$