A particle moves in one-dimensional motion through a field for which the potential energy of the particle–field system is U(x) = (A)/(x3) - (B)/(x)where A = 0.150 eV ⋅ nm3 and B = 3.68 eV ⋅ nm. The shape of this function is shown. (a) Find the equilibrium position x0 of the particle. (b) Determine the depth U0 of this potential well. (c) In moving along the x axis, what maximum force toward the negative x direction does the particle experience? UtotalUoFigure P42.41 Problems 41 and 42.

given quantities: U(x)=(A)/(x3) -B/x A=0.15 B=3.68 (a) To find the equilibrium position , first ,…

Answered: Utotal Uo Figure P42.41 Problems 41 and…

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Utotal Uo Figure P42.41 Problems 41 and 42.

University Physics Volume 3

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Chapter9: Condensed Matter Physics

Section: Chapter Questions

Problem 53P: The measured density of a NaF crystal is 2.558 g/cm3 . What is the equilibrium separate distance of...

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Question

A particle moves in one-dimensional motion through a field for which the potential energy of the particle–field system is
U(x) = (A)/(x³) - (B)/(x)
where A = 0.150 eV ⋅ nm³ and B = 3.68 eV ⋅ nm. The shape of this function is shown. (a) Find the equilibrium position x₀ of the particle. (b) Determine the depth U₀ of this potential well. (c) In moving along the x axis, what maximum force toward the negative x direction does the particle experience?

Utotal
Uo
Figure P42.41 Problems 41 and 42.

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