Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 10 - Interactions and Potential Energy - Exercises and Problems: 3

Answer

The change in potential energy is $2.9\times 10^6~J$

Work Step by Step

Note that the summit of Mount Whitney is 4505 meters higher than the floor of Death Valley. The height of the hiker increases by 4505 meters when moving from the floor of Death Valley to the summit of Mount Whitney. We can find the change in potential energy as; $\Delta PE = mg~\Delta h$ $\Delta PE = (65~kg)(9.80~m/s^2)(4505~m)$ $\Delta PE = 2.9\times 10^6~J$ The change in potential energy is $2.9\times 10^6~J$.
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