Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 22 - Think and Explain: 65

Answer

The force is multiplied by 4. The force is multiplied by 16. The force is divided by a factor of 16.

Work Step by Step

Coulomb's Law guides our answers, in particular, the inverse-square nature of the law. The force is inversely proportional to the square of the distance. $$F = k \frac{q_{1} \; q_{2}}{d^{2}}$$ If the two charges are brought closer together, dividing their separation distance by a factor of 2, the force is multiplied by a factor of 4. If the two charges are brought closer together, dividing their separation distance by a factor of 4, the force is multiplied by a factor of 16. If the two charges are moved farther apart, multiplying their separation distance by a factor of 4, the force is divided by a factor of 16.
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