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Define impulse and linear momentum Systems of particles Conservation of linear momentum Explosions and collisions Cats playing with Newton's cradle Lecture 14: Linear momentum

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Linear Momentum Vector!

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Impulse Vector!

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Change in momentum and impulse Integrate:

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Example: kicking a ball

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System of particles Linear momentum vector of system

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System of particles Internal forces occur in action-reaction pairs, cancel. Only external forces remain

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Conservation of linear momentum If no external forces act: Example: explosions

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Example: Explosion A firecracker of mass M is traveling with speed V in the positive x-direction. It explodes into two fragments of equal mass. Fragment A moves away at an angle θ above the positive x-axis, as shown in the figure. Fragment B moves along the negative y-axis Find the speeds of the fragments.

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Summary of Litany for Momentum Problems 1.Draw before and after sketch 2.Label masses and draw momentum/velocity vectors 3.Draw vector components 4.Starting equation. 5.Conservation of momentum if appropriate 6.Sum initial and final momenta 7.Express components 8.Solve symbolically

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Short collisions

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Example: Collision

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Energy in collisions Demo: Elastic and inelastic 1-D collisions on air track

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Fractional change of kinetic energy

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Linear Momentum and Collisions

Linear Momentum and Collisions

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