Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 7 - Kinetic Energy and Work - Problems - Page 176: 83b

Answer

-0.156 J

Work Step by Step

Given: $x_{i}=7.60\,mm=7.60\times10^{-3}\,m$, $x_{f}=(7.60+7.60)\,mm=15.2\times10^{-3}\,m$ and spring constant $k=18.0\,N/cm=\frac{18.0\,N}{10^{-2}m}$ Recall: Work done by the spring force $W_{s}=\frac{1}{2}kx_{i}^{2}-\frac{1}{2}kx_{f}^{2}$ Result: $W_{s}=\frac{1}{2}\times\frac{18.0\,N}{10^{-2}m}\times((7.60\times10^{-3}\,m)^{2}-(15.2\times10^{-3}\,m)^{2})$ $=-0.156\,J$
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