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Mechanics - How to predict the motion after two objects collide in 2D?

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I think no matter what are the mass of two objects, there must be a fix angle between the angle of two direction.
Is that using the center mass reference to calculate?
I say that because we can prove that when the two objects with same mass collide, then the angle between the direction of the objects'motion will be 90°.
That is proven based on the condition that they have same mass, what if different mass, do we have any fixed angle (eg the angle ≤ 180°)
These are elastic collision.
please guide . thank you.

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