## Success in the portion of our class covering the Conservation of Momentum for a system of particles is determined by your being able to accomplish the tasks listed below. The major objectives are listed by number. The list under each major objective includes both subtopics of that objective (usually topics which are required for a complete understanding of that major objective) and also the multiple representations of the task in which you are expected to be proficient. 1. Understand and apply Newton's Second Law for a system of particles Definition of the center of mass of a system of particles Velocity of the center of mass Acceleration of the center of mass The difference between internal and external forces in a system of particles The First Law for a system of particles, and its relation to Conservation of Momentum for the system and to the velocity of the center of mass of the system 2. Understand and apply the Impulse-Momentum Theorem for a single particle Definition of momentum Relation between momentum and kinetic energy Definition of impulse Definition of time-average force Origin of the Impulse-Momentum Theorem 3. Understand and apply the principle of Conservation of Momentum for a system of particles Requirements for validity of Momentum Conservation for a system of particles Relation to Impulse-Momentum Theorem for a system of particles Applications in one or two dimensions Applications for explosions Applications for perfectly inelastic collisions Definition of a perfectly inelastic collision Applications for elastic collisions Definition of an elastic collision Relation to velocity of system center-of-mass Applications requiring an understanding of both Energy and Momentum Conservation (eg. the ballistic pendulum)