Class Year

2015

Date

4-24-2015

Document Type

Thesis

Distinguished Thesis

Yes

Degree Name

Bachelor of Arts (BA)

Department or Program

Physics

First Advisor

Nathan W. Mueggenburg

Second Advisor

Michael M. Kash

Third Advisor

R. Scott Schappe

Fourth Advisor

DeJuran Richardson

Abstract

We investigate a peculiar feature of a simple model of collisions between point particles known as inelastic collapse. The model assumes that all particles move in one dimension at a constant velocity between collisions, and that an important ratio of velocities called the coefficient of restitution is constant for each collisions. With these assumptions, we show that it is possible for systems of particles in one dimension to collide infinitely often. We find the conditions on the initial velocities and the coefficient of restitution for inelastic collapse to occur analytically for systems with fixed collision orders and test them using Mathematica simulations.


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