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

AI Thread Summary
To calculate the magnitude of the daughter nucleus's momentum after a radioactive decay event, the linear momenta of the emitted electron and neutrino must be considered. The momentum of the daughter nucleus can be found using conservation of momentum, where the total momentum before decay (zero, since the parent nucleus is at rest) equals the total momentum after decay. The user initially struggled with the calculation, mistakenly focusing on the relationship between momentum, mass, and velocity instead of directly calculating the resultant momentum vector. The correct approach involves summing the momentum vectors of the electron and neutrino, then determining the magnitude of the resulting vector. The discussion highlights the importance of carefully interpreting the problem's requirements, particularly the focus on magnitude.
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.
 
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Thank you; you are right. Clearly I missed the word MAGNITUDE that was right in front of my face.
 
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