Consider a metal bar of length L, cross-sectional area A, and Young's modulus Y. When a tensionforce F is applied to the bar, it causes an extension AL. Model the material as a cubic lattice,where the atoms lie at the corners of the cubes and are connected by springs with equilibriumlength x. Calculate the force constant k of the atomic springs by deriving expressions for(1) the number of atoms in any cross-sectional area,(2) the number of atoms in a single chain of length L,(3) the microscopic extension Ax between atoms,(4) the tensile force f between atoms,(5) write f = kAr and show that k = Yr,(6) calculate the value of k for a typical metal such as aluminum, for which Y = 70 GN/m² andx = 0.4 nm.

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Answered: Consider a metal bar of length L,…

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