PHYS171_f11_lecture_33

PHYS171_f11_lecture_33 - and y components of v 1 , x and y...

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1 PHYS171 Chapter 9 Collisions in 2D In 2D we need to realize that momentum is a vector quantity, and its conservation applies to both x and y components individually. 2fy 2 1fy 1 2iy 2 1iy 1 2fx 2 1fx 1 2ix 2 1ix 1 v m v m v m v m v m v m v m v m + = + + = + θ φ m 1 m 2 m 1 m 2
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2 Chapter 9 Collisions in 2D 2fy 2 1fy 1 2iy 2 1iy 1 2fx 2 1fx 1 2ix 2 1ix 1 v m v m v m v m v m v m v m v m + = + + = + θ φ m 1 m 2 m 1 m 2 sin sin cos cos 2f 2 1f 1 2f 2 1f 1 v m v m v m v m + = + = Chapter 9 Collisions in 2D 2fy 2 1fy 1 2iy 2 1iy 1 2fx 2 1fx 1 2ix 2 1ix 1 v m v m v m v m v m v m v m v m + = + + = + Do we have enough information to solve this if initial conditions are known? Only two equations, but four unknowns ( x and y components of v 1 , x and y components of v 2 ) We need additional information Elastic Collision: Conservation of energy gives one additional constraint, but we still need additional information (such as the angle at which one of the particles leaves the collision) 2 2 2 2 2 2f 2 2 1f 1 2 2i 2 2 1i 1 v m v m v m v m + = +
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3 Chapter 9 Collisions in 2D 2fy 2 1fy 1 2iy 2 1iy 1 2fx 2 1fx 1 2ix 2 1ix 1 v m v m v m v m v m v m v m v m + = + + = + Do we have enough information to solve this if initial conditions are known? Only two equations, but four unknowns ( x
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Unformatted text preview: and y components of v 1 , x and y components of v 2 ) We need additional information Inelastic Collision: Particles stick together, so that the two output bodies have the same output velocity. 2fy 1fy 2fx 1fx , v v v v = = Chapter 9 Problem A 1500 kg car travels east with speed 25 m/s and a 2500 kg truck travels north with speed 20 m/s. They collide at an intersection and the two vehicles stick together. Find the velocity of the wreckage after the collision. 4 Chapter 9 Problem A billiard ball moving at 5 m/s strikes a stationary ball of the same mass. After the collision, the first ball moves at 4.33 m/s at an angle of 30 degrees with respect to the original line of motion. Assuming an elastic collision, find the struck balls velocity after the collision....
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This note was uploaded on 12/29/2011 for the course PHYSICS 171 taught by Professor La porta during the Fall '11 term at Maryland.

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PHYS171_f11_lecture_33 - and y components of v 1 , x and y...

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