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An object with mass m is hanging from a spring with spring constant, k, and the whole system is...

Question:

An object with mass m is hanging from a spring with spring constant, k, and the whole system is at rest. Now suppose another mass m is added below the first mass hanging from the spring. Find the work done by spring when the system is at rest again.

Spring force:

  • Spring force is an example of conservative force.
  • Work done by a conservative force is equal to negative of change in potential energy.

Therefore, we can write

{eq}W_{\text{by spring force}}=- \text{change in potential energy stored in spring} {/eq}

Answer and Explanation:

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Variables Used:

  • k = spring constant
  • m = mass of each object
  • x = initial elongation in the spring
  • x' = final elongation in the spring
  • W = work done by...

See full answer below.


Learn more about this topic:

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Restoring Forces & Oscillation: Definition & Examples

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Chapter 11 / Lesson 1
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Restoring forces are what makes systems oscillate. In this lesson, we will investigate how restoring forces are involved in the motion of masses attached to springs and simple pendulums.


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