# 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}

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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... Restoring Forces & Oscillation: Definition & Examples

from

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.