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Chapter08

# Chapter08 - Chapter 8 Momentum Impulse and Collisions Goals...

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Chapter 8: Momentum,  Impulse, and Collisions

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Goals for Chapter 8 To determine the momentum of a particle To add time and study the relationship of impulse and momentum To see when momentum is conserved and examine the implications of conservation To use momentum as a tool to explore a variety of collisions To understand the center of mass To study rocket propulsion
1. Momentum and Impulse Momentum (Linear momentum): Newton’s 2nd Law The rate of change of momentum of a body is proportional to the resultant force acting on the body and is in the same direction. p mv = r r : definition of momentum dP F dt = r r

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Impulse : Defined to be the product of the net force and the time interval. When net force is constant, General definition of impulse 2 1 ( ) J F t t F t = - = r r r J Fdt = r r
Impulse-momentum theorem The change in momentum of a particle during a time interval equals the impulse of the net force that acts on the particle during that interval. 2 1 2 1 t t J Fdt p p = = - r r r r

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Example 8.2) a) Find the impulse on the ball during its collision with the wall b) If the contact time is 0.010 s, what is the average horizontal force that the wall exerts on the ball?
2. Conservation of Momentum

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A Bon A dp F dt = r r B AonB dp F dt = r r Bon A AonB F F = - r r ( ) 0 A B Bon A Aon B A B dp dp F F dt dt d p p dt dP dt + = + = + = = r r r r r r r
Principle of conservation of momentum

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