Examine the scenarios. Scenario W: A force of 75 N moves a box 15 m. Scenario X: A force of 100 N moves a box 12 m. Scenario Y: A force of 50 N moves a box 20 m. Scenario Z: A force of 25 N moves a box 45 m. In which scenarios is the same amount of work done on the box?

W and X

W and Z

X and Y

Y and Z

We are given pairs of force and displacement.

If the force was applied in the same direction as the displacement, then the formula for work is

W = F d

where w is the work

F is the force

d is the displacement

Scenario W

W = 75 N (15m) = 1125 N-m

Scenario X

W = 100 N (12 m) = 1200 N-m

Senario Y

W = 50 N (20 m) = 1000 N-m

Scenario Z

W = 24 N (45 m) = 1125 N-m

The answer is Scenario W and Z