How much work would it take to push a  2 kg  weight up a  7 m  plane that is at an incline of  (5pi) / 12 ?

Aug 8, 2018

The work is $= 132.5 J$

Explanation:

The work done is equal to the potential energy gained.

The potential energy is

$P E = m g h = m g l \sin \theta$

The mass is $m = 2 k g$

The length of the plane is $l = 7 m$

The angle is $\theta = \frac{5}{12} \pi$

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

Therefore,

$W = 2 \cdot 9.8 \cdot 7 \cdot \sin \left(\frac{5}{12} \pi\right) = 132.5 J$