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).

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).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

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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