Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 4 - Dynamics: Newton's Laws of Motion - Problems - Page 104: 62

Answer

$\mu_k = 0.21$

Work Step by Step

If the speed is constant, then the force of friction $F_f$ directed up the slope must equal the component of the skier's weight directed down the slope. Therefore, $\sum F = ma = 0$ $mg ~sin(\theta) -F_f = 0$ $mg ~sin(\theta) -mg ~cos(\theta)\cdot ~\mu_k = 0$ $mg ~sin(\theta) = mg ~cos(\theta)\cdot ~\mu_k$ $\mu_k = tan(\theta) = tan(12^{\circ}) = 0.21$ The coefficient of kinetic friction $\mu_k$ is 0.21
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