Lecture_11

Lecture_11 - P123 Fall 2010 Common Hour Exam 2 Score...

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Unformatted text preview: P123 Fall 2010 Common Hour Exam 2 Score Histogram P123 Lecture 11 12 Nov 2010 MOMENTUM; IMPULSE AND MOMENTUM CONSERVATION Review of Last Weeks Lecture Elastic Potential Energy x = Displace.from Eqm. x = eqm position 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 U K E el g U U U 1 2 E E W othe Conservation of Energy U W 1 2 other (Friction, Drag, ) 1 2 ( E E W other Conservation of mech. energy) Conservation of Energy Force and Potential Energy int U W other ) ( ) ( 1 1 2 2 int 1 int 2 U U K U U K mech mech dU ) ( x U 2 dx dU F x dx dU dx x i Clicker rd Newtons 3 rd Law B on A A Bon F F 3 MOMENTUM & IMPULSE NEWTONS 2 nd Law: a m F but: ) ( v m dt d dt v d m a m dt v d a m F d ) ( v m F dt d 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: d dt F p d dt p d F ) ( 2 2 p p d F p d t p Define Impulse: 1 2 1 1 p p dt F p d t p 4 Vector that equals change in momentum 1 2 ) ( 2 1 p p dt F J t t Had: Work-Energy Theorem , now have: Impulse Momentum Theorem: p p J Impulse Momentum Theorem: Consider a variable force acting on a body from time t 1 to t 2 (e.g., basketball dribble) 1 2 p p J dt F J t t y y 2 1 y F y F F J Integral of actual force from to is equal to average force times interva 2 t 1 t t 1 t 2 t ) ( 1 2...
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This note was uploaded on 03/14/2011 for the course P 123 taught by Professor Stevens during the Spring '11 term at Rust.

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Lecture_11 - P123 Fall 2010 Common Hour Exam 2 Score...

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