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 447: 48

Answer

$E=0.436J$

Work Step by Step

For an undamped simple harmonic oscillator, energy is conserved. This means that the total energy is either elastic potential or kinetic. In this case, elastic potential energy can be expressed as $$U=\frac{1}{2}kA^2$$ Substituting known values of $k=13.3N/m$ and $A=0.256m$ yields a total mechanical energy of $$U=\frac{1}{2}(13.3N/m)(0.256m)^2=0.436J$$
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