   Chapter 13, Problem 4CQ

Chapter
Section
Textbook Problem

If the spring constant shown in Figure CQ13.3 is doubled to 2k0, determine (a) the ratio of the new force to the original force, Fn/F0, and (b) the ratio of the new to the original elastic potential energy, PEsn/PEs0.

(a)

To determine
The ratio of the original force to the new force.

Explanation

Given info: In the original spring constant of the spring is k0 and the force on the spring is F0 . The new spring constant of the spring is 2k0 and the force is Fn .

Explanation:

The Hooke's law states that in simple harmonic motion the net force is proportional to the displacement from the equilibrium point and is always directed toward the equilibrium point

b)

To determine
The ratio of the new potential energy to the original potential energy.

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