Question

How much work would it take to push a `12 kg` weight up a `3 m` plane that is at an incline of `pi / 12`?

Answer 1

The work is `=91.31J`

Explanation:

Resolving in the direction parallel to the plane `↗+`

As the component of the weight perpendicular to the plane do not perform work

`F=mgsintheta`

The mass is `m=12kg`

The angle is `theta=1/12pi`

`F=12gsin(1/12pi)=30.44N`

The distance is `d=3m`

The work is

`W=F*d=30.44*3=91.31J`