Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 8 - Dynamics II: Motion in a Plane - Exercises and Problems: 13

Answer

The car's maximum speed without flying off the road is 22 m/s

Work Step by Step

To find the maximum speed, we can assume that the gravitational force on the car is exactly equal to the required centripetal force to keep the car moving in a circular motion over the top of the hill. $F_c = \frac{mv^2}{r} = mg$ $v^2 = gr$ $v = \sqrt{gr}$ $v = \sqrt{(9.80~m/s^2)(50~m)}$ $v = 22~m/s$ The car's maximum speed without flying off the road is 22 m/s
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