Problem

Creating a Particle. Two protons (each with rest mass M = 1.67 × 10-27 kg) are initi...

Creating a Particle. Two protons (each with rest mass M = 1.67 × 10-27 kg) are initially moving with equal speeds in opposite directions. The protons continue to exist after a collision that also produces an η0 particle (see Chapter 44). The rest mass of the η0 is m = 9.75 × 10-28 kg. (a) If the two protons and the η0 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 η0, expressed in MeV? (d) Discuss the relationship between the answers to parts (b) and (c).

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