# How much work would it take to push a  1 kg  weight up a  1 m  plane that is at an incline of  pi / 3 ?

Jul 21, 2017

The work is $= 8.49 J$

#### Explanation:

The length of the plane is $l = 1 m$

The angle is $\theta = \frac{1}{3} \pi$

The height of the plane is

$h = l \sin \theta = 1 \cdot \sin \left(\frac{1}{3} \pi\right) = \frac{\sqrt{3}}{2} m$

The mass is $m = 1 k g$

The work is equal to the potential energy

$W = m g h = 1 \cdot 9.8 \cdot \frac{\sqrt{3}}{2} = 8.49 J$