Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 6 - Applications of Newton's Laws - Problems and Conceptual Exercises - Page 178: 11

Answer

$3.5\frac{m}{s^2}$

Work Step by Step

We know that $\Sigma F_y=N-mg-Fsin\theta=0$ $\implies N=mg+Fsin\theta $ Now the horizontal component is $\Sigma F_x=Fcos\theta-\mu_sN=ma_x$ This simplifies to: $a_x=\frac{1}{m}(Fcos\theta-\mu_sN)$ $\implies a_x=\frac{1}{m}(Fcos\theta-\mu_s(mg+Fsin\theta))$ We plug in the known values to obtain: $a_x=\frac{330cos21^{\circ}-(0.45)(32)(9.81)+330sin21^{\circ}}{32}$ $a_x=3.5\frac{m}{s^2}$
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