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: 9a

Answer

11 N

Work Step by Step

Coefficient of kinetic friction $\mu_{k}=0.25$ $F_{N}$ is equal but opposite to sum of all the forces downward. That is, $F_{N}=-(mg+F\sin\theta)$ $=-(3.5\,kg\times-9.8\,m/s^{2}+15\,N\times\sin(-40^{\circ}))=44\,N$ $f_{k}=\mu_{k}F_{N}=0.25\times44\,N=11\,N$
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