A 0.20kg block attached to a spring of force constant 80Nm−1 oscillates on a smooth horizontal surface with amplitude 0.12m. Answer the following:
(i) Calculate the total mechanical energy of the system.
(ii) Determine the kinetic energy of the block when its displacement from equilibrium is 0.06m.
(iii) Find the magnitude of displacement at which the kinetic energy of the block equals its potential energy.