A 450 g mass oscillates horizontally on a friction-free surface between two springs whose combined spring constant is 15 Nm−1. The amplitude of the oscillations is 30 cm.
Calculate
(a) the time period of the oscillations.
(b) the total energy, ET, of the mass–spring system.
(c) the kinetic energy, EK, of the mass when it is displaced 20 cm from its equilibrium position.
(d) the potential energy, EP, stored in the springs when the mass is displaced 20 cm from its equilibrium position.