A 25 kg block on the end of a spring is lifted upward to a point 2 m away from its equilibrium...

Question:

A 25 kg block on the end of a spring is lifted upward to a point 2 m away from its equilibrium position and released from rest. As the block heads downward back towards its equilibrium position it first arrives at a point 0.6 m above the equilibrium position after a time 0.3 seconds had elapsed. What is the spring constant of the spring?

Spring Constant:

In the context of mechanics, the spring constant is defined as the restoring force, which is used to expand or contract the unit length of the spring. Spring constant depends on the mass of the suspended body attached to the spring. If the mass increases, the force also increases; hence the spring constant varies.

Answer and Explanation: 1

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Given Data

  • The mass of block is: {eq}m = 25\;{\rm{kg}} {/eq}.
  • The amplitude at which spring lifted up is: {eq}A = 2\;{\rm{m}} {/eq}.
  • The time...

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Hooke's Law & the Spring Constant: Definition & Equation

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Chapter 4 / Lesson 19
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After watching this video, you will be able to explain what Hooke's Law is and use the equation for Hooke's Law to solve problems. A short quiz will follow.


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