Two Billiard Balls Meeting at Origin - Final Direction & Speeds

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In an elastic collision between two billiard balls of equal mass, where ball A moves upwards at 2.0 m/s and ball B moves right at 3.7 m/s, the conservation of momentum must be applied. After the collision, ball B moves along the positive y-axis, indicating a change in direction. To determine the final direction and speeds of both balls, momentum conservation equations for both the x and y components should be utilized. The relevant formulas involve calculating the initial momentum and equating it to the final momentum for each axis. This approach will yield the final speeds and direction of ball A post-collision.
Ckoskie
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The question is:
- Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. Ball A is moving upwards along the y-axis at 2.0 m/s, and ball B is moving to the right along the x-axis with speed 3.7m/s. After the collision, assume elastic, ball B is moving along the positive y axis. What is the final direction of ball A and what are their two speeds?

How would I do this one and what formulas would I use??
 
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This might help:
http://upload.wikimedia.org/wikipedia/en/3/34/Deflection.png
 
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Use conservation of momentum, remember that momentum is a vector.
 

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