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: 9b

Answer

$0.14\,m/s^{2}$

Work Step by Step

It is the x component of the applied force that provides the acceleration. Some of this force is utilized to overcome friction. Using Newton's second law, we can write $F_{x}-f_{k}=ma$ That is, $15\,N\times\cos40^{\circ}-11\,N=3.5\,kg\times a$ (In the previous section, we found $f_{k}$ to be equal to 11 N) $\implies a=\frac{0.50\,N}{3.5\,kg}=0.14\,m/s^{2}$
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