Physics: Principles with Applications (7th Edition)

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

Chapter 5 - Circular Motion; Gravitation - Problems - Page 132: 8

Answer

The coefficient of static friction must be at least $\mu_s = 0.55$

Work Step by Step

$v = (95 \frac{km}{h})(\frac{1000 ~m}{1 ~km})(\frac{1 ~h}{3600 ~s})$ $v = 26 ~m/s$ As long as the coefficient of static friction is high enough, the force of static friction provides the necessary force to round the curve. $F_f = m \frac{v^2}{r}$ $mg ~\mu_s = m \frac{v^2}{r}$ $\mu_s = \frac{v^2}{gr}$ $\mu_s = \frac{(26 ~m/s)^2}{(9.8 ~m/s^2)(125 ~m)}$ $\mu_s = 0.55$ Therefore, the coefficient of static friction must be at least $\mu_s = 0.55$
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