Two identical masses are attached to separate ideal springs. Spring X has force constant k, and spring Y has force constant 4k. Both masses are released from rest with the same amplitude A. Which statement correctly compares their total mechanical energies?
(a) The energy of the mass on spring X is four times that on spring Y.
(b) Both masses possess equal total mechanical energy.
(c) The energy of the mass on spring Y is four times that on spring X.
(d) The energy of the mass on spring Y is twice that on spring X.