Two springs together more elastic?

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SUMMARY

The discussion centers on the physics of combining two springs in series, specifically the equation 1/ktot = 1/k1 + 1/k2, which illustrates that the total spring constant (ktot) is less than the individual spring constants (k1 and k2). This relationship indicates that the combined system exhibits increased elasticity, as a smaller spring constant corresponds to a more elastic spring. The underlying physics is rooted in the way forces are distributed across the springs, leading to a greater overall extension when subjected to the same force.

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ys2050
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Based on the equation: 1/ktot = 1/k1 + 1/k2
Why is it that the reciprocal of the total spring force is equal to the reciprocals of each spring constants??
I know how to derive the equation, but what is the physics behind it??
The total spring constant is much less than those of the two individual springs... smaller k means that the spring is more elastic... why does two combined springs cause the elasticity to increase??
I know I'm asking a lot of questions.. but any help would be appreciated! :)
 
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