A 3-kg mass attached to a spring with k = 130 N/m is oscillating in a vat of oil, which damps the oscillations.
(a) If the damping constant of the oil is b = 19 kg/s, how long will it take the amplitude of the oscillations to decrease to 1% of its original value?
(b) What should the damping constant be to reduce the amplitude of the oscillations by 78% in 4 s?
I am very confused on how to solve this, any help is much appreciated! Thank you.