Essential University Physics: Volume 1 (4th Edition)

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

Chapter 7 - Exercises and Problems - Page 132: 51


a) $-2.5x^2+.5x^4$ b) $x=.7m,2m$

Work Step by Step

a) We know that the potential energy is equal to the negative integral of the force with respect to distance. Thus, it follows: $U=\int(-5x+2x^3)dx=-2.5x^2+.5x^4$ b) The turning points will occur where U equals -1. Thus, we find: $-1 = -2.5x^2 +.5x^4$ $x=.7m,2m$
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