Question

Let's assume that two objects with masses m_{A} and m_{B} are mvoing with velocities v_{A} and v_{B} along the x-axis. The two objects collide elastically head-on. (see figure a). After the collision, their velocities are v_{A'} and v_{B'} as it is shown in figure b. For any v > 0, the object is moving to the right (increasing x), whereas for v < 0, the object is moving to the left (toward decreasing values of x). Find the velocities of the objects after the collision. What is the role of the masses if any in the final result?

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