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College and Engineering Physics Elastic and Inelastic Collisions 1 TOC Conservation Collisions

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College and Engineering Physics Elastic and Inelastic Collisions 2 TOC Conservation of Linear Momentum The change in momentum of a system is equal to the impulse put on the system.

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College and Engineering Physics Elastic and Inelastic Collisions 3 TOC Conservation of Linear Momentum For example: Jeff Bagwell hits a baseball… Initially

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College and Engineering Physics Elastic and Inelastic Collisions 4 TOC Conservation of Linear Momentum For example: Jeff Bagwell hits a baseball… During hit

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College and Engineering Physics Elastic and Inelastic Collisions 5 TOC Conservation of Linear Momentum For example: Jeff Bagwell hits a baseball… Finally

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College and Engineering Physics Elastic and Inelastic Collisions 6 TOC Two types of collisions Elastic: The objects do not stick together or change shape. Momentum and kinetic energy are conserved. Inelastic: The objects do stick together and/or change shape. Only momentum is conserved!

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College and Engineering Physics Elastic and Inelastic Collisions 7 TOC Example of an elastic collision The cue ball hits two billiard balls initially at rest on a billiard table. Assume that the cue ball stops after hitting the other balls. What is the final velocity of the red and blue ball? x y θ

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College and Engineering Physics Elastic and Inelastic Collisions 8 TOC x y θ

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College and Engineering Physics Elastic and Inelastic Collisions 9 TOC x y θ

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College and Engineering Physics Elastic and Inelastic Collisions 10 TOC x y θ We have three equations and four unknowns. We cannot solve this problem without more information. You will usually be given the speed or angle of one of the balls.

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College and Engineering Physics Elastic and Inelastic Collisions 11 TOC Example of an inelastic collision A pieces of putty is thrown against a box sitting at rest on a frictionless table. If the putty is twice the mass of the box, what is the speed of the box/putty combination compared to the original speed of the putty?

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College and Engineering Physics Elastic and Inelastic Collisions 12 TOC Impulse and Momentum Momentum Impulse x-component The total impulse acting on a systems is ALWAYS equal to the change in its momentum

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College and Engineering Physics Elastic and Inelastic Collisions 13 TOC Impulse and Momentum Elastic Collisions Inelastic Collisions Object 1Object 2 p 0x 2 kg m/s1 kg m/s p fx -3 kg m/s6 kg m/s p 0y 0 kg m/s p fy 2 kg m/s-2 kg m/s K0K0 12 J6 J KfKf 8 J10 J Object 1Object 2 p 0x 1 kg m/s p fx -3 kg m/s5 kg m/s p 0y 2 kg m/s0 kg m/s p fy 3 kg m/s-1 kg m/s During collisions momentum is always conserved and kinetic energy is sometimes conserved

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College and Engineering Physics Elastic and Inelastic Collisions 14 TOC This is the last slide. Click the back button on your browser to return to the Ebook.

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