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A i. A f. B i. B f. To solve conservation of momentum problems, also known as collision problems, we use conservation of linear momentum in each direction. . Since momentum is a vector, we can’t simply add magnitudes, we must break the vectors into components. Eq. 1.

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  1. Ai Af Bi Bf To solve conservation of momentum problems, also known as collision problems, we use conservation of linear momentum in each direction. Since momentum is a vector, we can’t simply add magnitudes, we must break the vectors into components. Eq. 1 Where pyiAmeans the initial momentum in the y direction of puck A. We can write out the components of each initial and final momentum for each puck in each direction (2 pucks, 2 directions, 2 states in time, therefore 2x2x2=8 components we must figure out.) We then simply plug this into equation 1. We can then solve for a desired component, in this case the final velocities of each puck. Any collision can be solved in this way. Write out all the components of the momentum for each object, plug it into equation 1, and then its just algebra from there.

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