How much work would it take to push a  1 kg  weight up a  1 m  plane that is at an incline of  pi / 4 ?

Mar 2, 2018

The work is $= 6.93 J$

Explanation:

The work done to push the object up the plane is equal to the gain in potential energy.

The height of the plane is

$h = 1 \cdot \sin \left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2} m$

The mass of the object is $m = 1 k g$

The acceleration due to gravity is $g = 9.8 m {s}^{-} 1$

The potential energy is

$P E = m g h = 1 \cdot 9.8 \cdot \frac{\sqrt{2}}{2} = 6.93 J$