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

May 27, 2014

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 $F$:

$\frac{55 , 000 J}{25 m} = F$

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

$F = 2 , 200 N$