If the linearized dampers of Problem 1.60 are connected in series, determine the resulting equivalent damping constant.

Data From Problem 1.60:-

Consider two nonlinear dampers with the same force-velocity relationship given by \(F=1000 v+400 v^{2}+20 v^{3}\) with \(F\) in newton and \(v\) in meters/second. Find the linearized damping constant of the dampers at an operating velocity of \(10 \mathrm{~m} / \mathrm{s}\).