Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 19 - Electric Charges, Forces, and Fields - Conceptual Questions - Page 682: 8

Answer

Slight changes in position of the ball disrupt the equilibrium. The equilibrium is unstable.

Work Step by Step

The magnitude of the electrostatic force is given by 19-5, $F =k\displaystyle \frac{|q_{1}||q_{2}|}{r^{2}}$ (Force is inversely proportional to the square of the distance between the charges.) If we displace the ball slightly downward, the distance will increase slightly, and as a consequence, the electrostatic force will decrease. The weight is the same as before, and now it is greater than the electrostatic force, so a net force will exist, pointing down, causing the -q charge to accelerate. If we displace the ball slightly upward, the distance will decrease slightly, and as a consequence, the electrostatic force will increase. The weight is the same as before, so a net force will exist, pointing up, causing the -q charge to accelerate. Slight changes in the position of the ball disrupt the equilibrium. The equilibrium is unstable.
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