Essential University Physics: Volume 1 (4th Edition) Clone

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

Chapter 15 - Exercises and Problems - Page 290: 44

Answer

The dam does not need to be reinforced.

Work Step by Step

We find the force on the dam: $ F = \int_0^H (\rho gbh)dh \\ F = .5\rho gbh^2 $ Plugging in the known values, it follows: $F=.5(1000)(9.81)(1500)(95^2) = 66.4 \ GN$ We find: $\frac{100}{66.4} = 1.51$ This is greater than 1.5 times the force, so the dam is fine.
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