A 0.5 kg mass attached to a linear spring, with spring constant 5 N/m and damping constant 0.2 kg/s, is initially displaced 10 cm from equilibrium.
(a) What is the natural frequency of oscillation?
(b) What is its period of oscillation?
(c) How long does it take for the amplitude to decrease to 10% of its starting value?
(d) How many oscillations have occurred in this time?
(e) What fraction of the initial energy remains after this time?Please show all work necessary.