# How much work would it take to push a  2 kg  weight up a  4 m  plane that is at an incline of  (5pi) / 12 ?

Feb 7, 2016

$75.73 J$

#### Explanation:

We can use the formula $W = m g h .$

We will use $g = 9.8 m {s}^{-} 2$ assuming we are at sea level on earth.
$m = 2 k g$

Working out $h$ needs a bit of trigonometry, the diagram below will help us understand the situation a bit better:

As it is the opposite surface to the angle, in order to work $h$ use $h = 4 \sin \left(\frac{5 \pi}{12}\right)$

Now putting all these values into $W = m g h$ we get:

$W = 2 \cdot 9.8 \cdot 4 \sin \left(\frac{5 \pi}{12}\right) = 75.73 J$