Question

55,000J of work is done to move a rock 25m. How much force was applied?

Answer 1

First, recall the definition of work. The work done by a constant force is equal to the force multiplied by a displacement `s`:

`W = F⋅s`

If the work done was 55,000 Joules, and the displacement traversed was 25 meters, then all you need to do is substitute into the equation:

`55,000 J = 25 m⋅F`

Divide both sides by 25 meters to solve for `F`:

`(55,000J)/(25 m) = F`

Since the Joule is defined as Newtons multiplied by meters, the meters will cancel off, and our answer will be:

`F = 2,200 N`