Question

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`?

Answer 1

`245 Joules`

Explanation:

Work `= W = F*d*cos theta` with units of Joules

Force = mass x gravity = `5 kg * 9.8 m/s^2 = 49 (kg*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 * 5m = 245 N*m = 245 J`