Question

How much work would it take to push a `15 kg` weight up a `5 m` plane that is at an incline of `pi / 12`?

Answer 1

`"work" = 190 J`

Explanation:

My first step will be to convert to degrees - only because my calculator is in that mode.
`pi/12 * (180^@/pi) = 15^@`

The component of the weight of the 15 kg weight that points down the incline is `15 kg*9.8 m/s^2*sin15 = 38 N`.

Therefore a force of 38 N pointed up the incline will be required to push this weight up the incline. The work of pushing it for 5 m will be
`"work" = 38 N*5m = 190 N*m = 190 J`

I hope this helps,
Steve