# How much work would it take to push a  14 kg  weight up a  2 m  plane that is at an incline of  pi / 6 ?

Aug 4, 2018

I got: $137.2 J$

#### Explanation:

Consider the diagram:

with $d = 2 m$.

The work $W$ will be done against gravity (the weight $m g$ of the object) to reach the eight: $h = 2 \sin \left(\frac{\pi}{6}\right)$ (from trigonometry);
so we get:

$W = m g \cdot h = \left(14 \cdot 9.8\right) \cdot \left(2 \sin \left(\frac{\pi}{6}\right)\right) = 137.2 J$