Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 6 - Applications of the Integral - 6.5 Work and Energy - Exercises - Page 317: 17

Answer

$W$ = $3.92\times{10}^{6}$

Work Step by Step

volume of one layer of water is $32Δy$ $m^{3}$ force each layer is $(9.8)(1000)(32Δy)$ = $313600Δy$ $N$ $W$ = $\int_0^{5}(313600y)dy$ $W$ = $156800y^{2}|_0^5$ $W$ = $3.92\times{10}^{6}$
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