In the collision shown, energy is conserved. because both objects have the
same speed and mass after as before the collision. Since the collision merely
reverses the velocities, the final (total) momentum is opposite the initial.
Thus, momentum can be conserved ooly if it is zero.
(a) Using the relativistically correct expression for momentum, show that the
total momentum is zero that momentum is conserved. (Masses are in arbitrary
units.)
(b) Using the relativistic velocity transformation, find the four velocities
in a frame moving to the right at \(0.6 c\)
(c) Verify that momentum is conserved in che new frame.