Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 6 - Force and Motion-II - Problems - Page 140: 10a

Answer

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Work Step by Step

$F_{x}=F\cos\theta$$=0.500\times m\times9.8\,m/s^{2}\times\cos 20^{\circ}=(4.6m)\,m/s^{2}$ $f_{s,\,max}=\mu_{s}N=\mu_{s}(mg-F_{y})=\mu_{s}(mg-F\sin\theta)$$=0.600(m\times9.8\,m/s^{2}-0.500\times m\times9.8\,m/s^{2}\times\sin20^{\circ})$$=(4.9m)\,m/s^{2}$ Horizontal component of the force is less than the maximum value of static friction. Therefore, the block remains stationary. That is, acceleration a=0.
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