Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 10 - Energy - Exercises and Problems - Page 273: 39

Answer

The difference in maximum stored energy is $~~9.8~J$

Work Step by Step

We can find the maximum stored energy for sprinters: $U_{max} = \frac{1}{2}kx^2$ $U_{max} = (\frac{1}{2})(33\times 10^3~N/m)(0.041~m)^2$ $U_{max} = 27.7365~J$ We can find the maximum stored energy for nonathletes: $U_{max} = \frac{1}{2}kx^2$ $U_{max} = (\frac{1}{2})(33\times 10^3~N/m)(0.033~m)^2$ $U_{max} = 17.9685~J$ We can find the difference in maximum stored energy: $\Delta U_{max} = (27.7365~J)-(17.9685~J)$ $\Delta U_{max} = 9.8~J$ The difference in maximum stored energy is $~~9.8~J$
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