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 / 3`?

Answer 1

Work `W=F*s=407.378" "`Joules

Explanation:

Let `F` the force in the direction of the inclined plane at `pi/3`
Given mass `m=12 " "`kg
distance `d=3" "`meters
Acceleration due to gravity `g=9.8 " "`m/s^2#

The weight `W`:

`W=mg=12*(9.8)=117.6" "`Newton

The working equation

`F sin (pi/3)= W`

solving for `F`

`F=W/(sin (pi/3))=117.6/(sin(pi/3))=135.793" "`Newtons

Solve for the work `W`

`W=F*d=135.793(3)=407.378" "`Joules

God bless....I hope the explanation is useful.