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

Feb 25, 2017

$245 J o \underline{e} s$

#### Explanation:

Work $= W = F \cdot d \cdot \cos \theta$ with units of Joules

Force = mass x gravity = $5 k g \cdot 9.8 \frac{m}{s} ^ 2 = 49 \frac{k g \cdot m}{s} ^ 2 = 49 N$

Distance = $d = 5 m$

Since the force and the displacement is in the same direction (up the plane), theta = 0; cos 0 = 1

$W = 49 N \cdot 5 m = 245 N \cdot m = 245 J$