Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 6 - Force and Motion-II - Questions - Page 139: 9

Answer

The rider experiences the most centripetal force at arch 4, then arches 1,2,3 are tie, and arch 5 has the least.

Work Step by Step

The equation to guide the thinking in this question is: $F_{c}$=Mass$\times$($Velocity^{2}$/Radius) Mass and velocity are held constant in this experiment. Radius is inversely related to centripetal force, so as radius increases centripetal force decreases. Arch 4 has the smallest radius(R), arches 1,2 and 3 all have the next greatest radius(2R), and arch 5 has the biggest radius of them all (3R).
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