File:Linear momentum conservation 2d.svg

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Description Graphical solution to an example conservation of linear momentum problem by CMG Lee.
1. A 3 g ball moving south at 2 m/s collides with a 2 g ball moving northeast at √8 m/s. If the 2 g ball reverses course at half its initial speed, how is the 3 g ball deflected? If instead the collision were perfectly inelastic, how do the balls move?
2. Vectors representing each momentum is drawn by multiplying each mass and velocity, keeping the resultant momentum before and after the collision the same.
3. Dividing the magnitude of the vector by its mass gives the desired velocity: 2 m/s eastwards. A perfectly inelastic collision would make the balls move together as a 5 g mass in the direction of the resultant dashed purple arrow at 2√5/5 m/s.
Source Own work
Author Cmglee

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Date/TimeThumbnailDimensionsUserComment
current11:25, 28 April 2025Thumbnail for version as of 11:25, 28 April 2025512 × 910 (7 KB)CmgleeAdd axes, align text and fix description
08:42, 27 April 2025Thumbnail for version as of 08:42, 27 April 2025512 × 910 (6 KB)CmgleeFlip diagram for clarity
22:08, 25 April 2025Thumbnail for version as of 22:08, 25 April 2025512 × 910 (6 KB)Cmglee{{Information |Description=Graphical solution to an example conservation of linear momentum problem by CMG Lee.<br />1. A 3 g ball moving south at 2 m/s collides with a 2 g ball moving northeast at √8 m/s. If the 2 g ball reverses course at half its initial speed, how is the 3 g ball deflected? If instead the collision were inelastic, how do the balls move?<br />2. Vectors representing each momentum is drawn by multiplying each mass and velocity, keeping the resultant momentum before an...

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