Suppose that in cases B, C, and D in problem 1, each combination of springs were replaced by a single spring such that the motion of the block is the same as before the replacement. We will call the spring constant of this new spring the effective spring constant of the original combination. Quantitatively, the effective spring constant, keff , may be defined by the relationship Sigma Fvector block, spring = -Keff , where Sigma block, spring is the sum of all forces on the block by the springs, and is the position of the block with respect to the equilibrium position. Rank the four cases according to keff, from largest to smallest. Explain. Use your ranking above and the relationship T = 2pi root m/keff to rank the cases according to period of oscillation. Explain. Use your ranking from part a and the relationship E total = 1/2 keffA2 to rank the cases according to total energy. Explain.