Relative particle decay(velocity)

  • Thread starter matrix0978
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  • #1
matrix0978
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Homework Statement


A particle of mass M = 7m decays into two particles of mass m - one travels in the '+y' direction, the other in the -y' direction.
In the rest frame of M, find the total energy(in terms of m) and the speed of each m.


Homework Equations



E = mc2

[tex]\frac{u}{c}[/tex] = [tex]\frac{pc}{E}[/tex]

The Attempt at a Solution



I figured out the mass of each of the small particles is half of the rest energy of the parent particle and it came out to be (3.15x10^17 * m)Joules. I just dont know how to manipulate the equations to find the speed of each m...?
 

Answers and Replies

  • #2
betel
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Welcome to the forum.
Your results will be more easier to understand if you don't insert values for c. Just keep c^2. standing there. There is no need for actual numbers as your are not given m anyway.
Your first relation can be written in a more explicit way relating total energy, rest mass and momentum.
Once you have the momentum you then can relate it to the velocity using your second.
 

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