Damping of a Spring System

Classical Mechanics Level pending

A \(2 \text{kg}\) mass attached to a spring of spring constant \(k = 10 \text{ N}/\text{m}\) oscillates through a fluid that exerts a damping force \(F_d = -(4 \text{ N}\cdot\text{s}/\text{m})\: v\) on the mass, where \(v\) is the velocity of the mass. Which of the following correctly describes the oscillatory behavior of the system?

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