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A gold nucleus is 192 fm (1 fm = 10-15 m) from a proton, which initially...

A gold nucleus is 192 fm (1 fm = 10-15 m) from a proton, which initially is at rest. When the proton is released, it speeds away because of the repulsion that it experiences due to the charge on the gold nucleus. What is the proton's speed a large distance (assume to be infinity) from the gold nucleus? (Assume the gold nucleus remains stationary.)

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Answer #1

Charge on the proton

Charge on gold nucleus

Distance between the charges

Mass of proton

Potential energy of the system of charges

When the proton is released, proton gains in kinetic energy (K).

Conserving the energy of system,

Proton's speed at a large distance is

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