Decay Time of Damped Oscillator

A 10 kg10 \text{ kg} mass is attached to a spring of spring constant 10 N/m10 \text{ N}/\text{m}. The entire system is submerged in water, which exerts a viscous damping force on the mass Fd=(2 Ns/m)vF_d = -(2 \text{ N}\cdot \text{s}/\text{m}) \:v. The mass is pulled so that the spring is displaced from equilibrium by .1 m.1 \text{ m} and is released. Find the 1/e1/e decay time of oscillation in seconds.

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