A subatomic particle A decays into two identical particles B, A=B + B particles. The two B are observed to have exactly equal and opposite momenta of magnitude P. i) What can be deduced about the velocity of A just before the decay? ii) Derive an expression for the mass mOA, of A in terms of mOB and PB.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter14: Special Theory Of Relativity
Section: Chapter Questions
Problem 14.32P
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A subatomic particle A decays into two identical particles B, A=B + B particles. The two B are observed to have exactly equal and opposite momenta of magnitude P.
i) What can be deduced about the velocity of A just before the decay?

ii) Derive an expression for the mass mOA, of A in terms of mOB and PB.

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