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1 Spring 2011 PHYS 172: Modern Mechanics Lecture 5 – Momentum conservation, Fundamental Forces, gravity Read 3.1 – 3.2, 3.11 System consisting of two objects Momentum principle: ( ) 1 ,1 ,1 1, 1,int f i surr p p p F F t Δ - = + Δ ° ° ° ° ° system 1 p ° 2 p ° 1, surr F ° 2, surr F ° 1,int F ° 2,int F ° ( ) 2 ,2 ,2 2, 2,int f i surr p p p F F t Δ - = + Δ ° ° ° ° ° + ( ) ,1 ,2 ,1 ,2 1, 2, 1,int 2,int f f i i surr surr p p p p F F F F t + - - = + + + Δ ° ° ° ° ° ° ° ° , , total f total i p p - ° ° , net surr F ° Clicker question: What is the last term in that equation? A) Zero B) Not zero, directed toward the larger object C) Not zero, directed toward the smaller object D) It is always positive E) It is always negative

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2 System consisting of two objects Momentum principle: ( ) 1 ,1 ,1 1, 1,int f i surr p p p F F t Δ - = + Δ ° ° ° ° ° system 1 p ° 2 p ° 1, surr F ° 2, surr F ° 1,int F ° 2,int F ° ( ) 2 ,2 ,2 2, 2,int f i surr p p p F F t Δ - = + Δ ° ° ° ° ° + ( ) ,1 ,2 ,1 ,2 1, 2, 1,int 2,int f f i i surr surr p p p p F F F F t + - - = + + + Δ ° ° ° ° ° ° ° ° , , total f total i p p - ° ° , net surr F ° 0 ° , , total total f total i net p p p F t Δ - = Δ ° ° ° ° Only from surrounding!
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