A particle of mass 0.20kg is attached to a light spring and oscillates along a horizontal line. The total mechanical energy of the system is 1.8J. When the displacement of the particle is 0.050m, its potential energy is 0.60J.
(a) Determine the amplitude of oscillation.
(b) Calculate the angular frequency of oscillation.
(c) Find the maximum speed of the particle.
(d) When the displacement is 0.020m, compute the kinetic energy and the potential energy of the particle.