A 0.20kg mass is attached to an ideal spring of force constant 50Nm−1 on a friction-free surface. The system is set into simple harmonic motion with an amplitude of 0.10m.
(a) Calculate the total mechanical energy of the system.
(b) Determine the kinetic and potential energies of the mass when its displacement from the equilibrium position is 0.06m.
(c) Find the speed of the mass at this displacement.