University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 7 - Potential Energy and Energy Conservation - Problems - Exercises - Page 231: 7.36

Answer

(a) At points b and d, the force on the marble is zero. (b) Point b is a position of stable equilibrium. (c) Point d is a position of unstable equilibrium.

Work Step by Step

(a) $F = -\frac{dU}{dx} = 0$ The force on the marble is zero when the slope of the potential energy curve is zero. At points b and d, the force on the marble is zero. (b) Stable equilibrium points are minima in the potential energy curve. Therefore, point b is a position of stable equilibrium. (c) Unstable equilibrium points are maxima in the potential energy curve. Therefore, point d is a position of unstable equilibrium.
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