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# Lecture11_Pushkar - PHYSICS 220 Lecture 12 Momentum and...

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Lecture 11 Purdue University, Physics 220 1 Lecture 12 Momentum and Impulse PHYSICS 220

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Lecture 11 Purdue University, Physics 220 2 Obama’s Momentum
Lecture 11 Purdue University, Physics 220 3 Impulse and Momentum Define Momentum Momentum is a VECTOR Define Impulse Change in momentum requires Force acting over a period of time or Impulse p = F t or I = p Impulse: F t Vector Momentum transfer Work: F r r Scalar Energy transfer r p = m r v

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Lecture 11 Purdue University, Physics 220 4 For collection of objects – p total = Σ p Internal forces: forces between objects in system External forces: all other forces Σ F ext = 0 total momentum conserved ( p tot = 0) Impulse and Momentum For single object … F = 0 momentum conserved ( p = 0 ) I F t = p f - p i = p impulse-momentum theorem
Lecture 11 Purdue University, Physics 220 5 1-D F vs t Plot Impulse is simply the area under the F x (t) curve!

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Lecture 11 Purdue University, Physics 220 6 By what factor does an object’s kinetic energy change if its speed is doubled? By what factor does the magnitude of the momentum change? A) 0.5, 4 B) 2, 2 C) 4, 2 iClicker r p = m r v K = 1 2 mv 2
Lecture 11 Purdue University, Physics 220 7 Pushing Off… Fred and Jane are on skates facing each other. Jane then pushes Fred with force F N2L Fred: F JF = m Fred a Fred v Fred = a Fred t = (F JF /m Fred ) t m Fred v Fred = F JF t N2L Jane: F FJ = m Jane a Jane v Jane = a Jane t = (F FJ /m Jane ) t m Jane

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Lecture11_Pushkar - PHYSICS 220 Lecture 12 Momentum and...

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