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A 3-kg mass attached to a spring with k = 142 N/m is oscillating in a vat of oil, which damps the oscillations.

(a) If the damping constant of the oil is b = 14 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 70% in 3 s?

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