Essential University Physics: Volume 1 (4th Edition)

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 13 - For Thought and Discussion - Page 245: 2


The answer is below.

Work Step by Step

When the spring constant is doubled, the frequency goes up by a factor of $ \sqrt 2$ since frequency is directly related to the square root of the spring constant. Since the frequency is inversely related to the square root of the mass, doubling the mass will cause the frequency to decrease by a factor of $ \sqrt 2$.
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