An electron and a positron are traveling toward each other, the electron with velocity +0.834c and the positron with velocity -0.428c. They collide and stick together to form a new composite particle. (a)Find the momentum and energy of the new particle. (b) What is the mass of the new particle? (c) Find the change in kinetic energy in the collision. How is the change in kinetic energy related to the mass of the new particle? (d) Which of the above answers would be different according to an observer in a different reference frame?

An electron and a positron are traveling toward each other, the electron with velocity +0.834c and the positron with velocity -0.428c. They collide and stick together to form a new composite particle. (a)Find the momentum and energy of the new particle. (b) What is the mass of the new particle? (c) Find the change in kinetic energy in the collision. How is the change in kinetic energy related to the mass of the new particle? (d) Which of the above answers would be different according to an observer in a different reference frame?

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Due to the complexity of the question, (a), (b) and (c) are answered. Momentum of electron is,

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Momentum of positron is,

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Momentum of new particle is,

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Using conservation of energy,

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(b) Energy of the new particle is,

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Hence, mass of the new particle is,

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