A massless spring of unstretched length L and elastic constant k is suspended from a vertical support. Then a mass m is hung from the lower end of the spring, resulting in a new equilibrium position. a)What is the location of the mass in the new equilibrium position with respect to the point of suspension? b)Setting the vertical coordinate to have its origin at m’s equilibrium position, show that the potential energy of the system can be expressed as proportional to the square of that vertical coordinate. Find the constant of proportionality.

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