# How much work would it take to push a  1 kg  weight up a  4 m  plane that is at an incline of  (5pi) / 12 ?

Feb 27, 2016

I found: $W = 37.86 J$

#### Explanation:

you can use the height $h$ of the ramp into the experssion for work:

$W = m g h$

where (from trigonometry):

$h = 4 \sin \left(5 \frac{\pi}{12}\right) = 3.86 m$

So that:
$W = 1 \cdot 9.8 \cdot 3.86 = 37.86 J$