Oscillator A is a 0.50kg block on a frictionless surface attached to a spring with constant 100N/m. It is released from rest at amplitude 0.080m. Oscillator B has mass 0.30kg and is attached to a spring with constant 200N/m.
(a) Determine the amplitude AB required for Oscillator B to have the same total mechanical energy as Oscillator A.
(b) Using that amplitude, calculate the ratio of the maximum speed of Oscillator B to that of Oscillator A.