A tank car is stopped by two spring bumpers A and B, having a stiffness of K

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A tank car is stopped by two spring bumpers A and B, having a stiffness of KA = 15(10³) lb/ft and kB = 20(10³) lb/ft, respectively. Bumper A is attached to the car, whereas bumper B is attached to the wall. If the car has a weight of 25(10³) lb and is freely coasting at 3 ft/s, determine the maximum deflection of each spring at the instant the bumpers stop the car.

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