Classical Mechanics
# Work

A freight elevator is loaded with a cab with a total mass of \( 1200 \text{ kg}, \) which is required to travel upward \( 18 \text{ m} \) in \( 100 \) seconds, starting and ending at rest. The elevator's counterweight has a mass of only \( 1000 \text{ kg}, \) so the elevator motor must help. With how much power must the motor do work to the cab?

The gravitational acceleration is \( g= 10 \text{ m/s}^2. \)