University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 14 - Periodic Motion - Problems - Discussion Questions - Page 459: Q14.13

Answer

It will lose time.

Work Step by Step

The period of a simple pendulum is $T=2 \pi\sqrt{\frac{L}{g}}$. On the mountaintop, the acceleration due to gravity is smaller. This increases the period T of the pendulum clock, so it will lag behind a correct clock, and lose time.
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