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A pump is required to lift 800 kg of water (about 210

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 91P Chapter 6

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 91P

A pump is required to lift 800 kg of water (about 210 gallons) per minute from a well 14.0 m deep and eject it with a speed of 18.0 m/s. (a) How much work is done per minute in lifting the water? (b) How much work is done in giving the water the kinetic energy it has when ejected? (c) What must be the power output of the pump?

Step-by-Step Solution:

Solution 91P a) Step 1: Depth of the well from where the pump lifted the water is 14 meters. Mass of the water which got lifted is 800 kg. Time taken is 1 minute. Work done is, W = force × distance = 800 kg × 9.8 m/s × 14 meters = 109760 J b) Step 2: Water ejected with a speed of 18 m/s. The final kinetic energy is, K.E = 1/2 mv = 0.5 × 800 × 18 = 129600 Initially the water is at rest so, the kinetic energy was zero. Change in kinetic energy is, K.E = 129600 0 = 129600 J . This is the work done as per the work-energy theorem. c)

Step 3 of 3

Chapter 6, Problem 91P is Solved
Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

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