Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 7 - Work and Kinetic Energy - Problems and Conceptual Exercises - Page 214: 81

Answer

$-8.4\times 10^6N$

Work Step by Step

We can find the required force as $W=\Delta K.E$ $\implies Fd=\frac{1}{2}mv_f^2-\frac{1}{2}mv_i^2$ $\implies Fd=\frac{1}{2}m(0)^2-\frac{1}{2}mv_i^2$ This can be rearranged as: $F=\frac{-mv_i^2}{2d}$ We plug in the known values to obtain: $F=-\frac{(27lb\times 1Kg/2.2lb)(550)^2}{2(0.22)}$ $F=-8.4\times 10^6N$
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