# Find the minimum kinetic energy of a proton.

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(a) Show that the kinetic energy of a nonrelativistic particle can be written in terms of its momentum as KE = P2 (squared)/2m. (b) Use the results of (a) to find the minimum kinetic energy of a proton confined within a nucleus having a diameter of 1.0 x 10-15 m.

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#### Solution Summary

Kinetic energy = E = 1/2mv^2 = (mv)^2/2m = p^2/2m' where p = mv = momentum of the particle.

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