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 185: 93

Answer

$26\frac{m}{s^2}$

Work Step by Step

We can find the required acceleration as follows: $\Sigma F_y=\mu_sN-mg=0$ $\implies N=\frac{mg}{\mu_s}$ Now the horizontal component of force is given as $\Sigma F_x=N$ $\implies ma=N$ $\implies a=\frac{N}{m}$ $\implies a=\frac{\frac{mg}{\mu_s}}{m}$ This simplifies to: $a=\frac{g}{\mu_s}$ We plug in the known values to obtain: $a=\frac{9.81}{0.38}$ $a=26\frac{m}{s^2}$
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