College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 4 - Force and Motion - Learning Path Questions and Exercises - Exercises - Page 135: 16

Answer

280 N

Work Step by Step

$F=ma$ Mass is already given. But we need to find the acceleration. When acceleration $a$ is constant $v^{2}=u^{2}+2a(x-x_{0})$. This implies that $a=\frac{v^{2}-u^{2}}{2(x-x_{0})}$ Then, $F=m\times\frac{v^{2}-u^{2}}{2(x-x_{0})}=0.050\,kg\times\frac{(100\,m/s)^{2}-0^{2}}{2\times0.90\,m}=280\,N$
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