Help with determining other mass of a relativistic collision

dgresch
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Homework Statement


A 3.000 u (1 u = 931.5 MeV/c2) object moving to the right through a laboratory at
0.8c collides with a 4.000 u object moving to the left through the laboratory at
0.6c. Afterward there are two objects, one of which is a 6.000 u object at rest.
Determine the mass of the other object

Homework Equations


CONSERVATION OF ENERGY
\gammam1c2+\gammam2c2=\gammam3c2+\gammam4c2

The Attempt at a Solution


Each gamma is different because of different speeds but for the purpose of time management and the fact that past this I don't know what to do, I left them as gamma.
\gamma2794.5Mev+\gamma3726MeV=5589Mev+\gammam4c2

Am I supposed to assume both objects are at rest? Doesn't seem like that would be the case because the other object would just be 1u. Any thoughts anyone?
 
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You will also need to apply conservation of momentum. Together with conservation of energy, you will have two equations for the two unknowns \gamma_4, m_4.
 
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