# How much work would it take to push a  1 kg  weight up a  13 m  plane that is at an incline of  (5pi) / 12 ?

Jun 20, 2017

The work is $= 123.1 J$

#### Explanation:

Resolving in the direction parallel to the plane ↗^+

The force is $F = m g \sin \theta$

The component of the weight $N = m g \cos \theta$ does not do work

The distance is $d = 13 m$

The work is $W = F d = 1 g \sin \left(\frac{5}{12} \pi\right) \cdot 13$

$= 123.1 J$