Non-Headon Collision Vector Representation

AI Thread Summary
In a non-head-on collision between two objects of similar mass, the momentum and energy conservation principles lead to a 90-degree separation of their trajectories. The discussion emphasizes the importance of representing the collision in vector form, particularly by analyzing the x and y components of momentum. Participants suggest using equations to explore the relationship between the momentum vectors and the resulting angles. The concept of elastic collisions is also highlighted, where no energy is lost, allowing for predictable outcomes. Understanding these principles is crucial for accurately modeling the collision dynamics.
shredder666
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Why does a non head on collision between objects with momentum and an object without momentum result in a 90 degree split? (objects have similar mass)

Could you please represent this in vector form? I'm not sure how I could represent this because it's not a head on collision but a side swipe...
 
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Normallly the objects have to be the same size, and there can be no losses in the collision (elastic collision), and the objects have to be free to travel in any direction, at least any direction on a plane.
 


well yea those conditions are assumed
 


I still don't get how the collision results in a 90 degree angle, could someone show me some vector calculation with variables
 


shredder666 said:
I still don't get how the collision results in a 90 degree angle, could someone show me some vector calculation with variables
You have to write down the x and y components of momentum and energy, and solve the equations, See Andy Mason's post #5 in
https://www.physicsforums.com/showthread.php?t=311193&highlight=collision+equal+mass
and determine what kind of triangle with sides A, B, and C (if any) satisfies the relation A2+B2 = C2.
 


oh ok thanks
 
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