College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 9 - Problems - Page 361: 15


The Dutch boy must exert a force of $13.1~N$

Work Step by Step

We can find the pressure at a depth of 3.0 m under the water surface: $P_{abs} = P_{atm}+P_g$ $P_{abs} = P_{atm}+\rho~gh$ $P_{abs} = (1.01\times 10^5~N/m^2)+(1025~kg/m^3)(9.80~m/s^2)(3.0~m)$ $P_{abs} = 1.31\times 10^5~N/m^2$ We can find the force the Dutch boy must exert: $F = P~A$ $F = (1.31\times 10^5~N/m^2)~(1.0\times 10^{-4}~m^2)$ $F = 13.1~N$ The Dutch boy must exert a force of $13.1~N$.
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