The nucleus of an atom is positively charged because it consists of positively charged protons and uncharged

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The nucleus of an atom is positively charged because it consists of positively charged protons and uncharged neutrons. To bring a free proton toward a nucleus, a repulsive force F(r) = kqQ/r2 must be overcome, where q = 1.6 × 10-19 C (coulombs) is the charge on the proton, k = 9 × 109 N-m2/C2, Q is the charge on the nucleus, and r is the distance between the center of the nucleus and the proton. Find the work required to bring a free proton (assumed to be a point mass) from a large distance (r →∞) to the edge of a nucleus that has a charge Q = 50q and a radius of 6 × 10-11 m.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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