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Discussion11

# Discussion11 - they are balanced then the total momentum of...

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Collisions General Physics I Mechanics Racquetball Striking a Wall Physics 140 Mt. Etna Stewart Hall

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2 2 2 2 1 2 1 1 2 1 2 1 1 2 1 2 2 1 1 1 1 f f i f f i v m v m v m v m v m v m + = = These can be solved (with some effort) to yield the solutions: ( ( i f v m m m m v 1 2 1 2 1 1 - = 1D totally elastic collision Conservation of momentum Conservation of energy 1 2 ( 29 i f v m m m v 1 2 1 1 2 2 + = i i f v m m m v m m m m v 2 2 1 2 1 2 1 2 1 1 2 + + + - = In general, if both bodies move before the collision: and similarly for v 2 f (just replace 1 2)
Center of Mass Position of the center of mass: Velocity of the center of mass: = i i i CM m r m r r r i i p v m r r r = = Acceleration of the center of mass: tot tot i CM m m v tot ext i i i CM m F m a m a = = r r r

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Motion of the Center of Mass If there are no external forces acting on the system (or if they are balanced), then the total momentum of the

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Unformatted text preview: they are balanced), then the total momentum of the system is conserved and its center of mass moves with constant velocity tot tot CM m p v r r = Motion of the Center of Mass • The center of mass moves as if all the mass were concentrated at that point and it were acted upon by a total force equal to the sum of all external forces on all particles in the system ext CM F a ∑ = r r tot m Problem 8.106 Question 8.26 Question 8.26 Problem 8.47 Problem 8.89 A. 24 N B. 78 N C. 84 N D. 102 N E. 132 N Problem 8.89 A. 24 N B. 78 N C. 84 N D. 102 N E. 132 N Problem 8.116...
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Discussion11 - they are balanced then the total momentum of...

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