Answer
$U = -x^3+\frac{5}{2}x^2+C$
Work Step by Step
We can find an expression for $U$:
$U = -\int F_x~dx$
$U = -\int (3x^2-5x)~dx$
$U = -x^3+\frac{5}{2}x^2+C$
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
by Knight, Randall D.
Published by
Pearson
ISBN 10:
0133942651
ISBN 13:
978-0-13394-265-1
Chapter 10 - Interactions and Potential Energy - Exercises and Problems - Page 259: 62
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