Question: A (0.400-mathrm{kg}) object is oscillating on a spring for which the force constant is (300 mathrm{~N} / mathrm{m}). A damping force that is linearly proportional

A $0.400-\mathrm{kg}$ object is oscillating on a spring for which the force constant is $300 \mathrm{~N} / \mathrm{m}$. A damping force that is linearly proportional to the object's velocity is exerted on the system, and the damping coefficient is $b=5.00 \mathrm{~kg} / \mathrm{s}$.

(a) Verify that the units given for $b$ are correct.

(b) What is the frequency $f$ of the oscillation?

(c) What is the time constant $\tau$ ?

$(d)$ What is the quality factor $Q$ ?

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