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UNIT 05 - Systems of Particles - Momentum
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1. CENTER OF MASS (study guide is HERE) |
| A) Students should understand the technique for finding center of mass, so they can: (C.O.M study guide) |
| (1) Identify by inspection the center of mass of a symmetrical object (4.1) |
| (2) Locate the center of mass of a system consisting of two such objects (C 4.2) |
| (3) Use integration to find the center of mass of a thin rod of non-uniform density (C 4.3) |
| B) Students should be able to understand and apply the relation between center-of-mass velocity and linear momentum, and between center-of-mass acceleration and net external force for a system of particles (C 4.4) |
| C) Students should be able to define center of gravity and to use this concept to express the gravitational potential energy of a rigid object in terms of the position of its center of mass (C 4.5) |
2. Impulse and momentum
Students should understand impulse and linear momentum, so they can: |
| A) Relate mass, velocity, and linear momentum for a moving object, and calculate the total linear momentum of a system of objects (C 4.6) |
| B) Relate impulse to the change in linear momentum and the average force acting on an object (C 4.7) |
| C) State and apply the relations between linear momentum and center-of-mass motion for a system of particles (C 4.8) |
| D) Calculate the area under a force versus time graph and relate it to the change in momentum of an object (C 4.9) |
E) Calculate the change in momentum of an object given a function  for the net force acting on the object (C 4.10) |
3. Conservation of Linear Momentum, Collisions |
| A) Students should understand linear momentum conservation, so they can: |
| (1) Explain how linear momentum conservation follows as a consequence of Newton’s Third Law for an isolated system (C 4.10) |
| (2) Identify situations in which linear momentum, or a component of the linear momentum vector, is conserved (C 4.11) |
| (3) Apply linear momentum conservation to one-dimensional elastic and inelastic collisions and two-dimensional completely inelastic collisions (C 4.12) |
| (4) Apply linear momentum conservation to two-dimensional elastic and inelastic collisions (C 4.13) |
| (5) Analyze situations in which two or more objects are pushed apart by a spring or other agency, and calculate how much energy is released in such a process (C 4.14) |
| B) Students should understand frames of reference, so they can: |
| (1) Analyze the uniform motion of an object relative to a moving medium such as a flowing stream (C 4.15) |
| (2) Analyze the motion of particles relative to a frame of reference that is accelerating horizontally or vertically at a uniform rate (C 4.16) |