Finding speed of particle after collision

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StaryNight
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I'm having problem with the following special relativity question:

An object with energy E and momentum p collides with a mass m at rest and coalesces with it to form a single body without loss of energy. Show that the speed of the composite body is p/(m+E/c^2).

I've tried using the mass-energy invariant but can't seem to derive the above. Any help would be much appreciated.
 
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