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A 0.125 kg mass is attached to a spring and undergoes simple harmonic motion with a period of...

Question:

A 0.125 kg mass is attached to a spring and undergoes simple harmonic motion with a period of 0.41 s. The total energy of the system is 2.5 J. Find the amplitude of the motion. Answer in units of m.

Period of Oscillation:

In a spring-mass system when a small disturbance is applied to the mass m then it oscillates with a time period given by {eq}T=\displaystyle {2\pi} \sqrt { \displaystyle \frac{m} {k}}\\ {/eq}

  • where k is the force constant of the spring

Answer and Explanation:

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Given:

  • The mass of the object is m = 0.125 kg.
  • Time period of oscillation is T = 0.41 s.
  • The total energy of the system is E = 2.5 J.


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Practice Applying Spring Constant Formulas

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Chapter 17 / Lesson 11
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In this lesson, you'll have the chance to practice using the spring constant formula. The lesson includes four problems of medium difficulty involving a variety of real-life applications.


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