Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 1, Problem 42GP
To determine

The loss of depth of a lake per year.

Expert Solution & Answer
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Answer to Problem 42GP

8.76 cm per year

Explanation of Solution

Given:

Water consumption of family of four people per day is 1200 liter

Number of people in the town are 40,000

Area of lake, A=50 km2=50×106 m2

Formula used:

Volume of the lake is given by,

  V=A×d

Here, V is volume, A is area and d is depth.

So, depth is,

  d=VA

Calculation:

Water consumption of one person per day =12004=300 liter

Thus, water consumption of one person per year,

  =300×365=1.095×105 liter

Water consumption of 40,000 people =1.095×105×40,000 lites=4.38×109 liter

Now, 1 litre=103 m3

Thus, volume of water used by 40,000 people is,

  V=4.38×106 m3

Substituting the values, we get

  d=4.38×106 m350×106 m2   = 0.0876 m   = 8.76 cm

Conclusion:

Thus, the depth of lake lose per year if its water is used by 40,000 people is 8.76 cm

Chapter 1 Solutions

Physics: Principles with Applications

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