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What is the relationship of the force on the spring and stretch of the spring.(This is the spring we are looking at weights can be attached to it)

What is the relationship of the force on the spring and stretch of the spring.(This-example-1

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We will have the following:

We know that for a simple spring the following is true:


\begin{cases}F=-kx \\ \\ F=ma\end{cases}

So:


-kx=ma

So, the stretch of the spring is directly proportional to the force.

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