A particle of mass 0.40kg attached to an ideal spring executes simple harmonic motion along a straight line. The force constant of the spring is 80Nm−1 and the total mechanical energy of the system is 1.6J.
a. (i) Calculate the amplitude of oscillation.
b. (ii) When the kinetic energy of the particle is 1.2J, determine the magnitude of its displacement from the mean position.
c. (iii) Find the speed of the particle at the instant mentioned in part (ii).