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Problem 8 (momentum and energy in special relativity) (8 points) A particle of mass m, moving at speed ? 0.945c, collides with an identical particle that is at rest. The two particles react to produce a new particle of mass M and nothing else. (Use the following as necessary: c and m.) (a) What is the speed V of the composite particle in terms of the speed of light? (b) What is its mass M in terms of the mass m?

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1-V2 1- V e2 2 O. 04Se 2- 1-(0.4925)2. 5.389m

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