class16 - 2 Elastic collisions We now apply the...

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2 Elastic collisions We now apply the conservation laws to the interaction of two particles, in particular collisions. In general, two types of collisions are possible: Elastic and Inelastic. By deFnition 1. Elastic collisions: P i = P f and K i = K f ; 2. Inelastic collisions: P i = P f and K i ± = K f ; where K is the kinetic energy of the system. We begin with a discussion of elastic collisions. In many occasions it is desirable to choose a coordinate system at rest with respect to the system’s center of mass (CM). In reality, actual measurements are carried out in a coordinate system where the observer is at rest, the laboratory (LAB) coordinate system. In the LAB system, one particle is in motion whereas the struck particle is usually at rest. In CM, we use the notation that m 1 is the mass of the moving particle, and m 2 the mass of the struck or stationary particle. In the LAB system the velocities of m 1 are u 1 = Initial (69) v 1 = ±inal (70) while in the CM system we use the same notation, but all variables are primed. Similar
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This note was uploaded on 09/20/2010 for the course AMATH 261 taught by Professor Rogermelko during the Spring '10 term at Waterloo.

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class16 - 2 Elastic collisions We now apply the...

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