# L11F11 - P123 Fall 2011 Common Hour Exam 2 Score Histogram...

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P123 Fall 2011 Common Hour Exam 2 Score Histogram

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2 P123 F11 Lecture 11 11 Nov 2011 MOMENTUM; IMPULSE AND MOMENTUM CONSERVATION 1 2 K K K W W W W other el g tot ) ( ) ( 1 1 2 2 1 2 el g el g other U U K U U K W Let = Potential Energy = Total Mechanical Energy • Conservation of Energy • Force and Potential Energy dx dU F x int U W other ) ( ) ( 1 1 2 2 int 1 int 2 U U K U U K mech mech U K E el g U U U 1 2 E E W other  (Friction, Drag, …) 1 2 0 E E W other Conservation of mech. energy) dx dU dx dU ) ( x U x Review of Last Week’s Lecture • Elastic Potential Energy x = Displace.from Eqm. x = 0 eqm position
3 i Clicker Newton’s 3 rd Law B on A A Bon F F

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4 NEWTON’S 2 nd Law: but: a m F ) ( v m dt d dt v d m a m dt v d a ) ( v m dt d F • Define Linear Momentum: v m p (Units: kg-m/s = N.s) dt p d F Net force = Time rate of change of momentum Consider this relationship further: Define Impulse: Vector that equals change in momentum dt F p d dt p d F ) (  1 2 2 1 2 1 p p dt F p d t t p p 1 2 ) ( 2 1 p p dt F J t t
5 Had: Work-Energy Theorem , now have: Impulse – Momentum Theorem: Consider a variable force acting on an object from time t 1 to t 2 (e.g., basketball dribble) Integral of actual force from to is equal to average force times interval COMPARISON: MOMENTUM vs. KINETIC ENERGY: is a vector ; KE is a scalar related to time over which force acts ! related to distance over which force acts !

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L11F11 - P123 Fall 2011 Common Hour Exam 2 Score Histogram...

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