# How much work would it take to push a  1 kg  weight up a  5 m  plane that is at an incline of  pi / 6 ?

Dec 12, 2017

The work is $= 24.5 J$

#### Explanation:

The height of the plane is

$h = 5 \sin \left(\frac{1}{6} \pi\right) = 5 \cdot \frac{1}{2} = 2.5 m$

The work done is equal to the potential energy gained up the plane.

The mass is $= 1 k g$

The acceleration due to gravity is $= g = 9.8 m {s}^{-} 2$

$W = m g h = 1 \cdot 9.8 \cdot 2.5 = 24.5 J$