Plot the responses of the bumper of Chapter Problem 3.43 when it is engaged by railroad cars traveling at \(20 \mathrm{~m} / \mathrm{s}\) when the mass of the railroad car is

(a) \(1500 \mathrm{~kg}\),

(b) \(22,000 \mathrm{~kg}\), and

(c) \(30000 \mathrm{~kg}\).

Data From Chapter Problem 3.43:

A railroad bumper is modeled as a linear spring in parallel with a viscous damper. What is the damping coefficient of a bumper of stiffness \(2 \times 10^{5} \mathrm{~N} / \mathrm{m}\) such that the system has a damping ratio of 1.15 when it is engaged by a 22,000-kg railroad car.