Ball A has mass m and velocity v0. Ball A moves to the right and hits Ball B, which is initially at rest in the lab frame S and has a mass of 3m. After, Ball A bounces back with a velocity of -v0/2 and Ball B is pushed forward with velocity +v0/2. Using the attatched relativistic velocity transformation, find the velocity of each ball before and after the collision in an S' frame that moves to the right at a velocity v0 relative to the lab. From your result, is momentum conserved in S' ?

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Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.