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 212: 35

Answer

(a) $0.45J$ (b) $0.24J$

Work Step by Step

(a) We can find the required work done as follows: $W_1=F_1d_1$ We plug in the known values to obtain: $W_1=(0.6N)(0.25-0m)=0.15J$ $W_2=F_2d_2$ We plug in the known values to obtain: $W_2=(0.4N)(0.5-0.25m)=0.1J$ $W_3=F_3d_3$ We plug in the known values to obtain: $W_3=(0.8N)(0.75-0.5)=0.2J$ Now the net work done is given as $W=W_1+W_2+W_3$ We plug in the known values to obtain: $W=0.15+0.1+0.2=0.45J$ (b) We know that $W_1=F_1d_1$ $W_1=(0.6N)(0.25m-0.15m)=0.06J$ $W_2=0.1J$ and $W_3=F_3d_3=(0.8N)(0.6m-0.5m)$ $W_3=0.08J$ Now the total work done is given as $W=0.06+0.1+0.08=0.24J$
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