College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 13 - Vibrations and Waves - Learning Path Questions and Exercises - Exercises - Page 485: 23

Answer

444$\frac{N}{M}$

Work Step by Step

The formula for frequency is 1/Period. The equation for period is 2$\pi$$\sqrt{\frac{m}{k}}$. So, the equation for frequency is $\frac{1}{2\pi\sqrt{\frac{m}{k}}}$. Plugging in 5kg for m and 1.50 for frequency, after some algebra and rearranging variables, you get k is 444 N/M.
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