College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 6 - Conceptual Questions - Page 225: 8

Answer

At a lower height, the potential energy is lower so the kinetic energy must be higher. If the kinetic energy is higher then the speed must be higher. At a greater height, the potential energy is greater so the kinetic energy must be lower. If the kinetic energy is lower then the speed must be lower.

Work Step by Step

The total mechanical energy in the system is the sum of the kinetic energy and the gravitational potential energy. Conservation of energy tells us that the sum of the kinetic energy and the gravitational potential energy is constant. At a lower height, the potential energy is lower so the kinetic energy must be higher. If the kinetic energy is higher then the speed must be higher. At a greater height, the potential energy is greater so the kinetic energy must be lower. If the kinetic energy is lower then the speed must be lower.
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