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

May 19, 2017

I got $153 J$

#### Explanation:

We can use the fact that the work will be equal to the (Grav.) Potential Energy $U = m g h$ gained in changing height. The only thing is that the height $h$ will be the vertical height obtained from trigonometry as:

so that:
$h = 5 \sin \left(\frac{\pi}{12}\right) = 1.3 m$

Giving for Work:

$W = U = m g h = 12 \cdot 9.8 \cdot 1.3 = 152.88 \approx 153 J$