College Physics (4th Edition)

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

Chapter 9 - Problems - Page 366: 95

Answer

The height between the basement and the seventh floor is $23.0~m$

Work Step by Step

Let $P_1$ be the pressure on the seventh floor and let $P_2$ be the pressure in the basement. We can use Bernoulli's equation to find the height difference $h$: $P_1+\rho~g~h = P_2$ $h = \frac{P_2-P_1}{\rho~g}$ $h = \frac{(4.10\times 10^5~Pa)-(1.85\times 10^5~Pa)}{(1000~kg/m^3)(9.80~m/s^2)}$ $h = 23.0~m$ The height between the basement and the seventh floor is $23.0~m$.
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