Fundamentals of Physics Extended (10th Edition)

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

Chapter 8 - Potential Energy and Conservation of Energy - Problems: 9a

Answer

17.0 m/s

Work Step by Step

In this scenario, the mechanical energy $E_{mec}$ = K + U is conserved. At point A, the roller-coaster car is exactly at the same height as in the beginning, so U is the same as in the beginning and therefore also K (because K + U doesn’t change). Since K has the same value, the car must have the same speed $v_{0}$ = 17.0 m/s.
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