For a damped simple harmonic oscillator, the block has a mass of 2.2 kg and the spring constant is 13 N/m. The damping force is given by -b(dx/dt), where b = 290 g/s. The block is pulled down 15.2 cm and released.
(a) Calculate the time required for the amplitude of the resulting oscillations to fall to 1/3 of its initial value.
(b) How many oscillations are made by the block in this time?