## College Physics (4th Edition)

Published by McGraw-Hill Education

# Chapter 9 - Problems - Page 361: 23

#### Answer

(a) The pressure increase at a depth of 35.0 m below the surface is $343~kPa$ (b) The pressure decrease in going 35 m above the surface is $412~Pa$

#### Work Step by Step

(a) The pressure increase is the gauge pressure at a depth of 35.0 m below the surface: $P_g = \rho~gh$ $P_g = (10^3~kg/m^3)(9.80~m/s^2)(35.0~m)$ $P_g = 343\times 10^3~N/m^2$ $P_g = 343~kPa$ The pressure increase at a depth of 35.0 m below the surface is $343~kPa$ (b) To find the pressure decrease in going 35 m above the surface, we can find the gauge pressure for a height difference of 35 m: $P_g = \rho~gh$ $P_g = (1.20~kg/m^3)(9.80~m/s^2)(35~m)$ $P_g = 412~N/m^2$ $P_g = 412~Pa$ The pressure decrease in going 35 m above the surface is $412~Pa$.

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