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A proton in a certain particle accelerator has a kinetic energy that is equal to its...

A proton in a certain particle accelerator has a kinetic energy that is equal to its rest energy.

(a) What is the total energy of the proton as measured by a physicist working with the accelerator?

(b) What is the momentum of the proton as measured by this physicist?

(c) This proton collides with an antiproton with the same total energy travelling in the opposite direction. What happens?

(d) Two particles result from the collision described in (c). What are:

(i) their speeds?  

(ii) their energies?

(iii) their momenta?

(iv) their relative directions of propagation?

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