An proton-antiproton pair is produced by a 2.20 × 10 3 mev photon. what is the kinetic energy of the antiproton if the kinetic energy of the proton is 242.85 mev? use the following joules-to-electron-volts conversion 1ev = 1.602 × 10-19 j. the rest mass of a proton is 1.67 × 10 − 27 kg.

K = 80.75 MeV    

Explanation:

To calculate the kinetic energy of the antiproton we need to use conservation of energy:

where : is the photon energy, : are the rest energies of the proton and the antiproton, respectively, equals to m₀c², : are the kinetic energies of the proton and the antiproton, respectively, c: speed of light, and m₀: rest mass.        

Therefore the kinetic energy of the antiproton is:    

The proton mass is equal to the antiproton mass, so:

Hence, the kinetic energy of the antiproton is 80.75 MeV.

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