Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 1 - Introduction, Measurement, Estimating - General Problems: 44

Answer

8.76 cm/year

Work Step by Step

First and foremost, we find the volume of water used by a single person per day: $$\frac{1200l}{4 people}=300l/person/day$$ Next, we find the volume of water used by the whole town in a year: $$(40000people)(\frac{300l}{1person})(\frac{365 days}{1 year})(\frac{1000cm^3}{1l})(\frac{1km}{100000cm})^{3}$$ $$=4.38\times 10^{-3}km^3/year$$ Finally, we find the depth of water lost per year by dividing the volume by the area: $$d=\frac{V}{A}=\frac{4.38\times 10^{-3}km^3/year}{50km^2}=(\frac{8.76\times 10^{-5}km}{1year})(\frac{100000cm}{1km})=8.76cm/year$$
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