Essential University Physics: Volume 1 (4th Edition)

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 15 - Exercises and Problems - Page 291: 63

Answer

6.83 m

Work Step by Step

Please see the attached image first. Here we use the Bernoulli's equation, $P+\frac{1}{2}\rho V^{2}+\rho gy = constant$ Where $P- Pressure$, $\frac{1}{2}\rho V^{2}-Kinetic\space energy\space per\space unit \space volume$, $\rho gy- Gravitational \space potential \space energy \space per\space unit \space volume.$ Let's plug known values into this equation. $P_{0}+0+0=P_{A}+\frac{1}{2}\rho V^{2}+0$ $P_{0}=\frac{33}{100}P_{0}+\rho gh$ $\frac{67P_{0}}{100}=\rho gh$ => $\frac{67P_{0}}{100\rho g}=h$ $\frac{67\times1\times10^{5}kg/ms^{2}}{100\times1000\space kg/m^{3}\times 9.8\space m/s^{2}}=h$ $6.83=h$ Maximum well depth = 6.83 m
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