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Only two things set the period of a mass on a spring: the force constant and the:

AMotion
BMedium
CMoment
DMass
Answer & Solution
Correct answer: D. Mass
1. A stiffer spring shortens the period. 2. The other factor is what the spring has to move. 3. That factor is the mass. _Source: OpenStax College Physics 2e, Chapter 16, Oscillatory Motion and Waves._
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