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Download Unit Objectives: Understand the technique for finding center of mass
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AP Physics 2013-2014 Unit 7- Momentum, Impulse, Collisions Unit Objectives: Understand the technique for finding center of mass so you can: Identify by inspection the center of mass of a body that has a point of symmetry Locate the center of mass of a system consisting of two such bodies Use integration to find the center of mass of a thin rod of non-uniform density, of a plane lamina of uniform density, or of a solid revolution of uniform density State, prove 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 Define center of gravity and use this concept to express the gravitational potential energy of a rigid body in terms of the position of its center of mass Understand impulse and linear momentum so you can: Relate mass, velocity and linear momentum for a moving body, and calculate the total linear momentum of a system of bodies Relate impulse to the change in linear momentum and the average force acting on a body State and apply the relations between linear momentum and center-of-mass motion for a system of particles Define impulse, and prove and apply the relation between impulse and momentum Understand linear momentum conservation so you can: Explain how linear momentum conservation follows as a consequence of Newton’s Third Law for an isolated system Identify situations in which linear momentum, or a component of the linear momentum vector , is conserved Apply linear momentum conservation to determine the final velocity when two bodies that are moving along the same line, or at right angles, collide and stick together, and calculate how much kinetic energy is lost in such a situation Analyze collisions of particles in one or two dimensions to determine unknown masses or velocities, and calculate how much kinetic energy is lost in a collision Analyze situations in which two bodies are pushed apart by a spring or other agency, and calculate how much energy is released in such a process Understand frames of reference so you can: Analyze the uniform motion of a particle relative to a moving medium such as a flowing stream Transform the description of a collision or decay process to or from a frame of reference in which the center of mass of the system is at rest Analyze the motion of particles relative to a frame of reference that is accelerating horizontally or vertically at a uniform rate Unit Outline Date Topic/Activity Assignments M 12/2 Day 4 Impulse & Momentum Conservation of Momentum W 12/4 Day 1 Elastic & Inelastic Collisions Th 12/5 Day 2 F 12/6 Day 3 AP Momentum Problems ~Science Drop~ HW #19 (due Mon., 12/9): pg. 268-70 E: #1-5,9,11,13,14,17,19,20,24, 26,28,29 HW #20 (due Fri., 12/13):pg. 270-75 E: #34,36,41,42,43,47,48,67,69, 73,82,83,86,91,95,106 M 12/9 Day 4 W 12/11 Quiz: Momentum & Impulse Investigation: Momentum, Energy and Collisions Project Wrap-In Early Dismissal Th 12/12 Day 1 F 12/13 Day 2 M 12/16 Day 4 T 12/17 Day 4 12/20/13 1/5/14 1/6 – 1/10 M 1/13 Day 4 W 1/15 Day 1 2-D Collisions Center of Mass Solid Bodies Motion of a system of particles Exploding projectile Rocket propulsion 2-D AP problem Problem session Test: Momentum NO School Winter Break WINTERM HW #21(due Tues., 12/17): pg. 27172 E: #51,53,54,55,56,58,59 HW #22: Problem Handout optional – extra credit HW #23 (due Tues.,12/17): pg. 27276 E: #61,62,63,65,68,108,109 ( We’ll discuss procedure in class) Test: Momentum (corrections)/review Angular position, velocity, acceleration (Unit 8) Angular & Translational Quantities (Unit 8) Answers to even #’d problems (from book) are on Haiku….. Complete Data Analysis HW #24 (due Thurs., 1/23): pg.299301 E: #1,3,5,8,9,11,13,15,16,18,21,22, 23,26,29