Authors: Eric Su
An isolated physical system of inelastic collision between two identical objects is chosen to manifest the physics law, conservation of momentum, in two inertial reference frames. In the first reference frame, the center of mass (COM) is stationary. In the second reference frame, one object is at rest before collision. By applying Lorentz transformation to the velocities of both objects, total momentum before and after the collision in the second reference frame can be compared. The comparison shows that conservation of momentum fails to hold when both objects move together at the same velocity.
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