Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 5 - Dynamics of Uniform Circular Motion - Check Your Understanding - Page 124: 5

Answer

$AB=DE\lt CD\lt BC$

Work Step by Step

In sections AB and DE, the car moves straight at a constant speed, so there is no acceleration in these two sections. In sections BC and CD, there is centripetal acceleration. We know that $$a_c=\frac{v^2}{r}$$ The car maintains its speed, so $v$ is constant. Radius of turning circle in BC is smaller than that in CD, so $a_c$ in BC is larger than $a_c$ in CD. So, ranking the accelerations, we end up with $AB=DE\lt CD\lt BC$
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