Question Detail

PHY 101 Work, Energy and Power Objective Question

Question

In Example 10, what minimum power must the motor deliver to lift the elevator at constant speed?
Options
A 64.8 kW
Correct Answer
B 6.48 kW
C 86.9 kW
D 2.16 × 10⁴ W
Correct Answer

Option A is the correct answer.

Detailed Explanation

First, find tension T = f + Mg = 4000 N + (1000+800)kg × 9.8 m/s² = 4000 + 17640 = 21640 N. Then power P = T v = 21640 N × 3 m/s = 64920 W = 64.92 kW, which is approximately 64.8 kW.

Hint

Power = force × velocity when force and velocity are in the same direction.

Question Info