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Question

Does the spring constant change with mass?


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Solution

Explanation:

We know that,

Spring Force = -(Spring Constant) × (Displacement)

F=-kx

The negative sign indicates that the reaction force is pointing in the opposite direction.

Where,

F is the restoring force of the spring, directed towards equilibrium.

k is the spring constant.

x is the spring’s displacement from its equilibrium position.

k=-Fx

As from the spring constant equation, the spring constant depends on the spring force and spring displacement.

Therefore no, the mass of the spring does not affect the spring constant.

Hence, the spring constant does not change with mass.


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