A particle of mass 250g attached to a spring performs simple harmonic motion along a straight line. Its total mechanical energy is 0.080J. When the particle is 0.030m away from the equilibrium position, its speed is 0.40ms−1.
(i) Determine the amplitude of oscillation.
(ii) Calculate the force constant of the spring.
(iii) Find the magnitude of displacement at which the kinetic energy of the particle equals its potential energy.