Essential University Physics: Volume 1 (4th Edition)

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

Chapter 14 - Exercises and Problems - Page 272: 57


$v = \sqrt{\frac{kL(L-L_0)}{m}}$

Work Step by Step

We know that Force is given by $F= k(L-L_0)$. Using the fact that $\mu$ is a constant of mass per unit length, we can simplify the following equation for speed: $ v = \sqrt{\frac{F}{\mu}}= \sqrt{\frac{k(L-L_0)}{\frac{m}{L}}}=\sqrt{\frac{kL(L-L_0)}{m}}$
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