A rubber band at temperature T is fastened at one end to a peg, and supports from its other end a mass m in a gravitational field g. Model the rubber band as a linked polymer chain of N segments joined end-to-end. Each segment has a length a and can be oriented either parallel or anti-parallel to the vertical direction. Find an expression for the average length of the rubber band as a function of B, m, g, N, and a. You may neglect the kinetic energies and masses of the segments themselves, and any interaction between the segments.

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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A rubber band at temperature T is fastened at one end to a peg, and supports from its other end a mass m in a gravitational field g. Model the rubber band as a linked polymer chain of N segments joined end-to-end. Each segment has a length a and can be oriented either parallel or anti-parallel to the vertical direction. Find an expression for the average length of the rubber band as a function of B, m, g, N, and a. You may neglect the kinetic energies and masses of the segments themselves, and any interaction between the segments.

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