Determine the stiffness kT of the single spring such that the force F will stretch it by the same amount s as the force F stretches the two springs. Express kT in terms of stiffness k1 and k2 of the two springs.
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Step 1: Write the equation for the force on the single spring: \[ F = k_1x_1 = k_2x_2 \] Show more…
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A force $F$ is applied to a spring of spring constant $k_{0}$, stretching it a distance $x$. Consider the spring to be made up of two smaller springs of equal length, with the same force $F$ still applied. Use $F=-k x$ to find the spring constant $k_{1}$ of each of the smaller springs.
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