A spring of force constant k is compressed by a distance x from its equilibrium length.

$($a$)$ Does the mass of the spring change when the spring is compressed? Explain.

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$($b$)$ Find an expression for the change in mass of the spring in terms of k$,$ x$,$ and c$.$

$$m $=$

$($c$)$ What is the change in mass if the force constant is $1\mathrm{.}9102$ N$/$m and

x $=16$ cm$?$