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 184: 78

Answer

Please see the work below.

Work Step by Step

(a) We know that $\Sigma F_y=N-mgcos\theta=0$ $\implies N=mgcos\theta$ Now $f_k=-\mu_kN$ $\implies f_k=-(0.23)(0.014)(9.81)cos25^{\circ}$ $f_k=-0.029N$ The negative sign shows that the direction of the force is downward. (b) We know that $f_k=\mu_k N$ $\implies f_k=\mu_k mgcos\theta$ We plug in the known values to obtain: $f_k=(0.23)(0.014)(9.81)cos25^{\circ}$ $f_k=0.029N$ The positive sign shows that the direction of the force is upward.
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