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**[SOLVED] relativistic momentum**

## Homework Statement

a particle with mass M and v=0 decomposes to a massless particle and another particle with the mass Q.

find the momentum of the Q particle

## Homework Equations

[tex]E^2_{cm}=m^2c^4=(\sum{E})^2-(\sum{P})^2c^2[/tex]

## The Attempt at a Solution

i tried using that equation and also tried to do some equations with the conservation of energy and momentum but i just cant figure it out

please help if you can

thanks

and also if you can explain to me the whole deal with center of mass in relativistic momentum and energy

when does the conservation of energy apply?

what happens in the center of the mass as oppose of out of it?