Why is the force the same on each spring in series?

[Morass]

Homework Statement

I am trying to derive the effective spring constant of two springs, with different spring constants, in series. I know the equation is everyone online, so the effective spring constant is k1k2/k1+k2.

So the question is, when deriving it, the force exerted on each spring is constant, why is that??

Homework Equations

Hooke's Law -> Fx = kx

The Attempt at a Solution

Is it because of Newton's third law? If so, how does that work?? Force of mass on spring 2 is equal to force of spring 2 on spring 1? So the force acting on each spring is Fg??

 

[tiny-tim]

Hi Morass!

… Is it because of Newton's third law? If so, how does that work?? Force of mass on spring 2 is equal to force of spring 2 on spring 1?

Yes.