## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson

# Chapter 9 - Work and Kinetic Energy - Conceptual Questions: 11

#### Answer

(a) The restoring force is $3F$ when the spring is stretched to a length of 13 cm. (b) The restoring force is $2F$ when the spring is compressed to a length of 8 cm.

#### Work Step by Step

The magnitude of a spring's restoring force is $F = kx$, where $x$ is the length that the spring is stretched or compressed. The problem statement tells us that the restoring force is $F$ when $x = 1~cm$. (a) The restoring force is $3F$ when the spring is stretched 3 cm. That is, the restoring force is $3F$ when the spring is stretched to a length of 13 cm. (b) The restoring force is $2F$ when the spring is compressed 2 cm. That is, the restoring force is $2F$ when the spring is compressed to a length of 8 cm.

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