How much work would it take to push a  5 kg  weight up a  1 m  plane that is at an incline of  pi / 3 ?

Apr 3, 2016

I found $42 J$

Explanation:

We work against gravity so our work can be found as:
$W = m g h$
where $h$ is height (gravitational force is conservative so the work done does not depend upon the path but only on the change in vertical position).
From trigonometry we have that:
$h = 1 \sin \left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2} = 0.866 m$
and:
$W = 5 \cdot 9.8 \cdot 0.866 = 42.4 \approx 42 J$