4. A massive object is connected to a spring and undergoes simple one-dimensional motion. (a) Assume that we can treat the object as a classical particle. Write an expression for the total energy of the particle in terms of its position x, its mass m, its momentum p, and the force constant K of the spring. (b) Now treat the object as a quantum mechanical wave. Assume that the product of the uncertainties in position and momentum can be described by the minimum uncertainty condition ApAx~ Use the uncertainty principle to eliminate p and rewrite the energy expression from (a) in terms of x. Be sure to justify your steps. (c) Determine the minimum possible energy for the mass on a spring.