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I have a problem in which two objects collide (elastic) in two dimensions. I am given the vectorial components of the initial velocities of each object as well as their masses, which are different. I also know the final velocity of the smaller object, which is 0 (it comes to rest after the collision). I am to find the vectorial components of the final velocity of the larger object, assuming complete conservation of momentum.

The way I attempted this problem is by separating it into two one-dimensional problems, one for the X-axis and the other for the Y-axis, applying the proper vectorial components of the velocity to each problem, and the solution to them would be their respective vectorial components of the velocity of the larger object after the collision.

Is this the correct way to do this?

Edit: Well, I just calculated the total momentum of my solution, and it's nothing like the total momentum of the two objects prior to the collision. This isn't looking good.

The way I attempted this problem is by separating it into two one-dimensional problems, one for the X-axis and the other for the Y-axis, applying the proper vectorial components of the velocity to each problem, and the solution to them would be their respective vectorial components of the velocity of the larger object after the collision.

Is this the correct way to do this?

Edit: Well, I just calculated the total momentum of my solution, and it's nothing like the total momentum of the two objects prior to the collision. This isn't looking good.

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