# How much work would it take to push a  2 kg  weight up a  3 m  plane that is at an incline of  pi / 3 ?

Jun 2, 2017

The work is $= 50.92 J$

#### Explanation:

Resolving in the direction parallel to the plane ↗+

As the component of the weight perpendicular to the plane do not perform work

$F = m g \sin \theta$

The mass is $m = 2 k g$

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

$F = 2 g \sin \left(\frac{1}{3} \pi\right) = 16.97 N$

The distance is $d = 3 m$

The work is

$W = F \cdot d = 16.97 \cdot 3 = 50.92 J$