Physics

Problem

A railway buffer consists of two different springs in series compressed by a train car of mass

10\,000\,\text{kg}

moving at

1\,\text{m/s}

. If the springs have constants

k_{1} = 50\,000\,\text{N/m}

and

k_{2} = 50\,000\,\text{N/m}

, calculate the maximum compression of the buffer system to bring the car to a momentary stop. (Ignore friction).