Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 13 - Oscillations About Equilibrium - Problems and Conceptual Exercises - Page 450: 93

Answer

(a) $7.9\frac{N}{m}$ (b) $4.6Kg$

Work Step by Step

(a) As know that $T=2\pi \sqrt{\frac{m}{K}}$ This can be rearranged as: $K=(\frac{2\pi}{T})^2m$ We plug in the known values to obtain: $K=(\frac{2\pi}{1.5})^2(0.45)$ $K=7.9\frac{N}{m}$ (b) As $T=2\pi\sqrt{\frac{m}{K}}$ This can be rearranged as: $m=(\frac{T}{2\pi})^2K$ We plug in the known values to obtain: $m=(\frac{4.8}{2\pi})^2(7.9)$ $m=4.6Kg$
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