How to demostrate k in Hook' s law?
Experimentally, you could probably use a spring setup where a spring is suspended vertically, and a mass is hung at the end. You measure the length of stretch of the spring, as well as the force applied to it (which is the weight of the mass). Doing multiple trials with different masses will give you enough data to plot a graph of F vs. x. You will notice that the slope of this line is constant, and it is equal to k.
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