Solving Mechanics Problem: Find Direction & Momentum of Recoiling Nucleus

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SUMMARY

The discussion focuses on solving a mechanics problem involving the momentum of a recoiling nucleus after spontaneous radioactive decay. The nucleus emits an electron with a momentum of 1.73 MeV/c and a neutrino with a momentum of 1 MeV/c, both at right angles to each other. The consensus is that while relativistic momentum concepts can be considered, the conservation of momentum principles suffice to find the direction and momentum of the recoiling nucleus without needing to delve into relativistic equations for this specific case.

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  • Understanding of momentum conservation principles
  • Familiarity with radioactive decay processes
  • Knowledge of relativistic momentum concepts
  • Basic physics equations related to particle interactions
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  • Learn about relativistic momentum calculations and their applications
  • Explore examples of radioactive decay and its effects on particle motion
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the mechanics of particle decay and momentum conservation in nuclear physics.

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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.

Homework Equations


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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