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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

The three containers in Figure CQ9.1 are filled with water to the same level. Rank the pressures at the bottom of the containers (choose one): (a) PA > PB > PC (b) PA > PB = PC (c) PA = PB > Pc (d) PA< PB< PC (e) PA = PB = PC

images

Figure CQ9.1

To determine
The pressure at the bottom of the containers.

Answer
Option (e) PA=PB=PC

Explanation

Formula to calculate pressure is,

P=P0+ρgh

  • P0 is the atmospheric pressure.
  • ρ is the density of water.
  • g is the acceleration due to gravity.
  • h is the depth.

Conclusion:

The height of the water level corresponding to each container is the same. Hence, pressure at the bottom of the containers is the same. Therefore, option (e) is correct.

For the pressure to be different for each container, either the height of water level must be different or the liquid contained must be different. Therefore, options (a), (b), (c) and (d) are incorrect.

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