How Do You Calculate the Magnitude of a Daughter Nucleus's Momentum?

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SUMMARY

The discussion revolves around calculating the magnitude and angle of the linear momentum of a daughter nucleus resulting from a radioactive decay process. The parent nucleus is at rest, and the emitted electron and neutrino have linear momenta of (-5.8 x 10-22 kg m/s)i and (-2.9 x 10-23 kg m/s)j, respectively. To find the magnitude of the daughter nucleus's momentum, one must apply vector addition to the momenta of the emitted particles and use the Pythagorean theorem. The correct approach involves recognizing that the momentum of the daughter nucleus is equal in magnitude but opposite in direction to the total momentum of the emitted particles.

PREREQUISITES
  • Understanding of linear momentum and its vector nature
  • Familiarity with vector addition and the Pythagorean theorem
  • Basic knowledge of radioactive decay processes
  • Ability to interpret coordinate systems in physics
NEXT STEPS
  • Study vector addition in physics to enhance understanding of momentum calculations
  • Learn about radioactive decay and the conservation of momentum principles
  • Explore examples of momentum calculations in two-dimensional systems
  • Review the relationship between mass, velocity, and momentum using p=mv
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding momentum calculations in the context of radioactive decay and particle physics.

sophzilla
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Hello, I need help with my homework problem:

A certain radioactive (parent) nucleus transforms to a different (daughter) nucleus by emitting an electron and a neutrino. The parent was at rest at the origin of an xy coordinate system. The electron moves away from the origin with linear momentum (-5.8 x 10-22 kg m/s)i; the neutrino moves away from the origin with linear momentum (-2.9 x 10-23 kg m/s)j. What are (a) the magnitude and (b) angle (from the +x axis) of the linear momentum of the daughter nucleus?

I easily got part B, but I'm having a problem with part A. They want the momentum, so the equation to use is p=mv. However, I don't know how to get the velocity from the 2 vectors. It seems very easy and it probably is, but I'm not getting the answer right (I tried adding them, etc). I clearly see that i is x-direction and j is y-direction, but that's as far as I can get.

I would appreciate it if someone can help. Thanks.
 
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They want the momentum, so the equation to use is p=mv.
Why is that the equation to use? As you know, that relates momentum, mass, and velocity. What made you interested in velocity and mass?

You should figure out what ideas you want to use to solve the problem, then figure out which equation to use.
 
Last edited:
Thank you; you are right. Clearly I missed the word MAGNITUDE that was right in front of my face.
 

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