University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 5 - Applying Newton's Laws - Problems - Discussion Questions - Page 159: Q5.20

Answer

The net force acting on a person moving around in a circle is $F = \frac{mv^2}{R}$, where $R$ is the radius of the circle. At the bottom of the loop, the speed $v$ will be faster than the speed at the top of the loop. Therefore, to make sure that the force on the person is within allowable limits, we can increase the radius $R$ at the bottom of the loop, which would decrease the force on the person.

Work Step by Step

The net force acting on a person moving around in a circle is $F = \frac{mv^2}{R}$, where $R$ is the radius of the circle. At the bottom of the loop, the speed $v$ will be faster than the speed at the top of the loop. Therefore, to make sure that the force on the person is within allowable limits, we can increase the radius $R$ at the bottom of the loop, which would decrease the force on the person.
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