Question about conservation of momentum

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The discussion centers on the conservation of momentum during collisions, specifically addressing the interaction between two objects with defined momenta. Object A has a momentum of 10 kg m/s horizontally, while Object B has a momentum of 20 kg m/s up-diagonally. According to the principle of conservation of momentum, the total momentum of the system must remain constant post-collision, meaning the resultant momentum can be redistributed but must equal the initial total momentum of 30 kg m/s. Therefore, it is not permissible for the post-collision momentum to be 15 kg m/s horizontally and 15 kg m/s up-diagonally, as this would violate the conservation principle.

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If object A and object B collide. Object A is going horizontally while object B is going up-diagonally. We find the momentum of object A to be 10 kg m/s while the momentum of B is 20 kgm/s. Does that mean that in the entire system after the collision there will have to be 10 kg m/s horizontally and 20 kgm/s up and diagonally or can there be let's say 15 horizontally and 15 up diagonally?

I hope it's not confusing, sorry if it is.
 
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