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Relativistic Momentum of a particle

  • Thread starter ~Sam~
  • Start date
  • #1
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Homework Statement


A particle of unknown mass M decays into two particles of known masses m1 = 0.5 GeV/c2 and m2 = 1.0 GeV/c2, whose momenta are measured to be p1 = 2.0 GeV/c along the positive y-axis and p2 = 1.5 GeV/c along the positive x-axis. Find the unknown mass M and its speed.


Homework Equations



p=1/sqrt(1-v^2/c^2)(mu)

The Attempt at a Solution



I tried summing the momentas, via pythagoras theorem. after that I'm not sure.
 

Answers and Replies

  • #2
1,254
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What's the general principle which governs how you can find the answer? I.e. for a given mass 'M,' why wouldn't m1 = 500000 GeV and m2 = 100000 Gev?

Hint: what if you think about the decay reaction as a collision?
 
  • #3
80
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Ahh I got it...using conservation of energy.
 
  • #4
use conservation of momentum and energy to get the velocity in ground frame
 

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