Answer to Question #106049 in Physics for Amanda

Question

Cable exerts a constant upward tension of magnitude 1.98 x 10^4 N on a 1.80 x 10^4 kg elevator as it rises through a vertical distance of 4.10 m

1. What is the work done by the tension force on the elevator.
2. What is the work done by the force of gravity on the elevator.

Answer 1

1. The work done by the tension force on the elevator is given by

$$W_1=Fd=1.98\times 10^4\times 4.10=8.12\times 10^4\:\rm J.$$

2. The work done by the force of gravity on the elevator is given by

$$W_2=mgd=1.80\times 10^4\times 9.8\times 4.10=7.23\times 10^5\:\rm J.$$