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Two protons (rest mass M = 1.67 * 10^-27 kg) move at same speed in opposite...

Two protons (rest mass M = 1.67 * 10^-27 kg) move at same speed in opposite directions. After bumping into each other the protons remain, but as a consequence of the bump a new particle is created, which has a rest mass m = 1.75 * 10^-28 kg.

a) Calculate the protons' speed at the beginning by assuming that all particles are in rest after the bump. Give your answer in the unit light speed c.

b) Calculate the proton's kinetic energy in unit MeV.

c) Calculate the new particle's rest energy in unit MeV.

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