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Damped oscillations
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The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are$F = -kv \Rightarrow k = \frac{F}{v}$
Unit of k $= \frac{N}{m\,s^{-1}} = \frac{kg\,m\,s^{-2}}{m\,s^{-1}} = kg\,s^{-1}$