How long would it take a 4.50 kW motor to raise a 175 kg object 15.0 m?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Conservation Of Energy
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How long would it take a 4.50 kW motor to raise a 175 kg object 15.0 m?

Expert Solution
Step 1

Given,

Power, P= 4.50 kW=4500 W, mass, m= 175 kg, and height, h= 15 m.

Step 2

The PE of the object at height 15 m is,

E=mgh=175 kg×9.8 m/s2×15 m=25725 J

Again, power can be written as,

P=Ett=EP

Putting the values, we have

t=EP=25725 J4500 W=5.72 s

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