All we have to do is to transform the velocities into a reference frame moving with the initial velocity of particle 2, as illustrated in Figure \PageIndex3:. We do this by relativistically addi...All we have to do is to transform the velocities into a reference frame moving with the initial velocity of particle 2, as illustrated in Figure \PageIndex3:. We do this by relativistically adding U=−u2 to each velocity. (Note that the velocity U of the moving frame is positive since u2 is negative.) Using the relativistic velocity translation formula, we find that
In a collision, the ratio of the magnitudes of the initial and final relative velocities is called the coefficient of restitution and denoted by the symbol e, If the magnitude of the final relativ...In a collision, the ratio of the magnitudes of the initial and final relative velocities is called the coefficient of restitution and denoted by the symbol e, If the magnitude of the final relative velocity is less than the magnitude of the initial relative velocity, e<1, then the change in kinetic energy is negative. If the magnitude of the final relative velocity is greater than the magnitude of the initial relative velocity, e>1, then the change in kinetic energy is positive.
