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Solving: Linear Momentum and Collisions

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Problem: Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. One is moving upward along the y axis at 2.0 m/s, and the other is moving to the right along the x axis with speed 3.8 m/s. After the collision (assumed elastic), the second ball is moving along the positive y axis. Please view attachment to see diagram.

(a) What is the final direction of the first ball? (counterclockwise from the +x axis is positive)

(b) What are their two speeds?
v'1 =
v'2 =

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