A micro-fabricated helical spring in a high-precision force sensor obeys Hooke's law. Under an applied axial load FFF, the spring undergoes a displacement. Let EEE be the elastic potential energy stored in the spring during this compression.
Determine the relationship between the applied load FFF and the stored energy EEE, expressing your result in the form F∝EmF \propto E^mF∝Em where mmm is a constant to be found.
