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5.Two relativistic particles of mass m crash into each other, fusing to form a particle of...

5.Two relativistic particles of mass m crash into each other, fusing to form a particle of mass M, at rest in the lab, with no other particles emitted. Assuming that each mass m particle had (lab frame magnitude) momentum p prior to the collision, evaluate M in terms of m and p. Was momentum conserved in the fusion event?

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Answer #1

Here total Energy should be conserved.

so, M = 2*m + 2*p^2/(2*m)

= 2*m + p^2/m

Yes. momentum is conserved in the fusion in event. In any event momentum must be conserved.

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