Collisions question? (involving momentum)

AI Thread Summary
A 3.45 g ball collides with a stationary 5.82 g ball, initially moving at 45 m/s. After the collision, the first ball bounces off at a 36-degree angle with a velocity of 28 m/s. The discussion seeks to determine the magnitude and direction of the second ball's velocity post-collision and whether the collision is elastic. Participants are encouraged to share their calculations and insights to solve the problem. The focus remains on applying momentum principles to analyze the collision dynamics.
driftk
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I've been trying solve this problem for a long time but can't figure it out.

A 3.45 g ball is moving toward a stationary 5.82 g ball with a velocity of 45 m/s. The first ball bounces off at an angle of 36 degrees from its original path with a velocity of 28 m/s. What is the magnitude and direction of the velocity of the second ball after the collision? Is the collision elastic?

Thank you.
 
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What have you worked out so far? Let's see some workings out.

The Bob
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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