Essential University Physics: Volume 1 (4th Edition) Clone

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

Chapter 7 - Section 7.2 - Potential Energy - Example - Page 118: 7.3

Answer

741 Joules

Work Step by Step

We know that the potential energy is equal to the negative integral of force as a function of distance. Thus, we find: $ U = - \int_{x_1}^{x_2}F(x)dx$ $ U = - \int_{0}^{x}(-kx - bx^2)dx$ $U = -\frac{1}{2}kx^2 - \frac{1}{3}bx^3$ Plugging in the given values, we find: $U = 741 \ J$
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