Two springs together more elastic?

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The discussion centers on the relationship between the total spring constant of two springs in series and their individual spring constants, as expressed by the equation 1/ktot = 1/k1 + 1/k2. The total spring constant (ktot) is lower than either individual spring constant (k1 or k2), indicating increased elasticity when the springs are combined. This phenomenon occurs because the combined system stretches more easily under a load, resulting in greater overall elasticity. The physics behind this can be understood through the concept of how forces distribute across the springs when they are connected in series. Overall, combining springs leads to a system that behaves more elastically than the individual components.
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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