Solving Mechanics Problem: Find Direction & Momentum of Recoiling Nucleus

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The discussion revolves around a physics problem involving the recoil of a nucleus after radioactive decay, where an electron and a neutrino are emitted with specified momenta. It emphasizes the importance of momentum conservation in solving the problem, suggesting that both relativistic and classical momentum calculations yield the same results for this scenario. However, it notes that for determining the recoil velocity, relativistic equations would be necessary for accuracy. Participants clarify that the momenta provided are sufficient for the calculations without needing to delve into relativistic concepts. The conversation concludes with a consensus on the appropriate approach to the problem.
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Homework Statement



A nucleus at rest undergoes spontaneous radioactive decayby emitting an electron of momentum 1.73 MeV/c and at right angle to to the direction of electron, a neutrino of momentum 1 MeV/c.Find the direction and momentum of the recoiling nucleus.
Here c is the velocity of light.

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The Attempt at a Solution



I CAN do this...but I am wondering if we are to employ the relativistic momentum concept...
Can anyone clarify?
 
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If the momenta given in the question have been accurately determined, you don't even have to bother about whether you should use relativistic or classical equations. Both would turn up the same answer, since we make use of only momentum conservation. Now if the question were to do with something like velocity of recoil, for accuracy you should use relativistic calculations.
 
I see...
Thank you.
 
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