What is the maximum height a 100-w engine can lift a 100-kg man in 3.00 minutes?

18.4 m

Explanation:

The force that the engine must apply at least to lift the man must be equal to the weight of the man:

The work done by the engine is the product of the force applied, F, and the height at which the man is lifted, h:

(1)

while the power of the engine is defined as:

where

P = 100 W

t = 3.00 min = 180 s

From this equation, we find the work:

And solving (1) for h, we find the maximum height: