Fundamentals of Physics Extended (10th Edition)

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

Chapter 4 - Motion in Two and Three Dimensions - Questions: 11

Answer

Train 2 has the greatest acceleration, then 1 and 4 area tied, and 3 has the lowest acceleration.

Work Step by Step

The equation that guides the thinking in this question is: [Centripetal Acceleration=Velocity^{2}$/Radius All the trains are traveling at the same velocity, so radius is the only variant between them. Radius and acceleration are inversely related, so as radius increases, acceleration decreases. Train 3 has the greatest radius, so it has the smallest acceleration. Trains 4 and 1 have the same radii, that are smaller than 3's; so they're tied for the second most acceleration. Finally, Train 2 has the smallest radius, so it has the greatest acceleration.
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