A 0.40kg block is attached to a horizontal spring of force constant 80Nm−1. The block is pulled 0.050m from equilibrium and released from rest on a friction-free surface.
(i) Calculate the angular frequency ω, the frequency f, and the time period T of the resulting oscillation.
(ii) Determine the maximum speed vmax reached by the block during its motion.
(iii) Find the total mechanical energy of the system.
(iv) Compute the speed of the block when its displacement from equilibrium is 0.030m toward the mean position.