College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 7 - Circular Motion and Gravitation - Learning Path Questions and Exercises - Exercises - Page 261: 36

Answer

The car cannot negotiate the curve safely.

Work Step by Step

$83km/hr=23.1m/s$ $r=0.4km=400m$ Tires can support $a=1.25m/s^{2}$ But, $a_{c}=\frac{v^{2}}{r}=\frac{23.1^{2}}{400}=1.334m/s^{2}$ which is greater than what the tires can support. Hence, the car cannot negotiate the curve safely.
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