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show Picture representation, Algebra work (only symbols no numbers), Units check, and Numerical answer :) A proton is fired at a speed of 0.30c toward

show Picture representation, Algebra work (only symbols no numbers), Units check, and Numerical answer :) A proton is fired at a speed of 0.30c toward a stationary gold nucleus (m = 3.27 1025 kg). The proton is absorbed by the gold nucleus, thereby converting it into a mercury nucleus. What is the speed vf of the mercury nucleus immediately after the collision? (Note: the proton must be treated rela- tivistically in this problem, but it turns out that the mercury nucleus is traveling slowly enough so that it needn't be treated relativistically.)

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