Creating a Particle two protons (each with rest mass M = 1.67 x 10-7 kg) are initially moving with equal speeds in opposite directions. The protons continue to exist after a collision that also produces a 71° particle (see Chapter 44). The rest mass of the 71° is m = 9.75 x 10-28 kg.
(a) If the two protons and the 71° are all at rest after the collision, find the initial speed of the protons, expressed as a fraction of the speed of light.
(b) What is the kinetic energy of each proton? Express your answer in MeV.
(c) What is the rest energy of the 71°, expressed in MeV?
(d) Discuss the relationship between the answers to parts (b) and (c).