Write down the energy-momentum four-vector p^u = (E / c, px, py, pz) for the different...

 

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Write down the energy-momentum four-vector p^u = (E / c, px, py, pz) for the different cases listed below. For each, assume that the particle has (rest) mass mo. (You can think of this as filling in a table of values for the energy and 3-momentum for the particle in each of the cases below.) (a) A particle moves in the positive x-direction in the laboratory with a total energy of five times its rest energy. (b) The same particle, but observed in a frame in which it is at rest. (c) Another particle moves in the z-direction with momentum equal to three times its rest mass times c. (d) Yet another particle moves in the negative y-direction with kinetic energy equal to four times its rest energy. Write down the energy-momentum four-vector p^u = (E / c, px, py, pz) for the different cases listed below. For each, assume that the particle has (rest) mass mo. (You can think of this as filling in a table of values for the energy and 3-momentum for the particle in each of the cases below.) (a) A particle moves in the positive x-direction in the laboratory with a total energy of five times its rest energy. (b) The same particle, but observed in a frame in which it is at rest. (c) Another particle moves in the z-direction with momentum equal to three times its rest mass times c. (d) Yet another particle moves in the negative y-direction with kinetic energy equal to four times its rest energy.

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