If we think of quarks as point-like particles, then the distance scale between two up quarks inside a proton is roughly 10-15 [m]. The charge of each up quark is e, where e is the fundamental unit of charge 1.6 × 10-19 [C]. A theoretical model of the potential energy between the quarks is given by U(r) = nr where n = 1.89 x 105 and r is the separation distance between the quarks. Part (a) What are the units of the constant n? Part (b) Find the expression for the force between two quarks. Part (c) Compare the strength of the electrostatic repulsion between two up quarks inside a proton to the strength of the force from Part (b).

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter26: Electric Potential
Section: Chapter Questions
Problem 14PQ: Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1...
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If we think of quarks as point-like particles, then the distance scale between two up quarks inside a proton is
roughly 10-15 [m]. The charge of each up quark is e, where e is the fundamental unit of charge 1.6 × 10-19
[C]. A theoretical model of the potential energy between the quarks is given by
U(r) = nr
where n = 1.89 x 105 and r is the separation distance between the quarks.
Part (a) What are the units of the constant n?
Part (b) Find the expression for the force between two quarks.
Part (c) Compare the strength of the electrostatic repulsion between two up quarks inside a proton to the
strength of the force from Part (b).
Transcribed Image Text:If we think of quarks as point-like particles, then the distance scale between two up quarks inside a proton is roughly 10-15 [m]. The charge of each up quark is e, where e is the fundamental unit of charge 1.6 × 10-19 [C]. A theoretical model of the potential energy between the quarks is given by U(r) = nr where n = 1.89 x 105 and r is the separation distance between the quarks. Part (a) What are the units of the constant n? Part (b) Find the expression for the force between two quarks. Part (c) Compare the strength of the electrostatic repulsion between two up quarks inside a proton to the strength of the force from Part (b).
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