the lever in the figure below accomplishes 5.0 newtons-meters of work raising a 25 newton weight. How far, in meters is the weight raised?

The simple definition of work is the product of the force applied to the object and the displacement:

W = Fd

W is the work, F is the applied force, and d is the displacement.

Givens:

W = 5.0N-m

F = 25N (the applied force must be at least equal to the weight to lift it)

Plug in the given values and solve for d:

5.0 = 25d

d = 0.20m