Hooke's law:

$\overline{){\mathbf{F}}{\mathbf{=}}{\mathbf{-}}{\mathbf{k}}{\mathbf{x}}}$

The two springs experience equal force

F = -k_{1}x_{1} → x_{1} = -F/k_{1}

F2 = -k_{2}x_{2} → x_{2} = -F/k_{2}

Two springs with spring constants k_{1} and k_{2} are connected in series. What is the effective spring constant k_{eff}? In other words, if the mass is displaced by x, find the k_{eff} for which the force equals F = -(k_{eff})x.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Springs (Hooke's Law) concept. You can view video lessons to learn Intro to Springs (Hooke's Law). Or if you need more Intro to Springs (Hooke's Law) practice, you can also practice Intro to Springs (Hooke's Law) practice problems.