(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A photon collides with a stationary particle of rest mass m0 and is absorbed.

Find the mass and velocity of the composite particle

2. Relevant equations

Conservation of energy:

E + m0 * c^2 = \gamma * mt *c^2 where mt is the total mass

Conservation of momentum:

E/c = \gamma * mt * v

3. The attempt at a solution

I used the attachment as a diagram for the two different frames.

I then solved for the velocity first and found that:

v= E*c/(E+m0*c^2)

I then solved for the mass (mt) and found:

mt = E+m0*c^2/(\gamma*c^2)

However i am not sure if the solution for the total mass is correct because it involves \gamma. If it is correct i was wondering if there was any way to simplify equation, and maybe substitute an expression in for \gamma, so it is not in the equation?

Thanks

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# Homework Help: Mass of a composite particle using relativity.

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