Calculating Final Velocities in a 2-Dimensional Elastic Collision

AI Thread Summary
To find the final velocities of pucks A and B after their elastic collision, the conservation of momentum and kinetic energy equations must be applied. The initial momentum of puck A is 1.3136 kg·m/s, while puck B starts at rest. The angles of separation post-collision are 65 degrees for puck A and 37 degrees for puck B, necessitating the breakdown of momentum into x and y components for accurate calculations. The discussion emphasizes the importance of setting up equations for both momentum directions to solve for the final velocities. Overall, a thorough understanding of the collision dynamics and component analysis is essential for solving this problem.
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Homework Statement


Puck A has a mass of 0.236 kg and is moving along the x-axis with a velocity of 5.56 m/s. It makes a collision with puck B, which has a mass of 0.472 kg and is initially at rest. The collision is not head-on. After the collision, the two pucks fly apart with the angles shown in the drawing. Find the final speed of puck A and puck B.
After the collision puck A has an angle of 65 degrees (in quadrant 2) and puck B has an angle of 37 degrees (in quadrant 3).


Homework Equations


m1vi1 + m2vi2 = m1vf1 + m2vf2
1/2m1vi1^2 + 1/2m2vi2^2 = 1/2m1vf1^2 + 1/2m2vf2^2
A * B = ABcos(theta)

The Attempt at a Solution


I'm trying to solve for two final velocities, and I know the initial velocity of puck B is 0. After that, I don't really know where to go with the equations that I have.
 
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I have no idea what you've tried, but you need to break up the initial and final momentum into x and y components. Then you need to sum them up in each direction to get equations for what you need.
 
it's okay hage567, i had lecture today and my professor just went over the material on the homework that was due yesterday, so. this should be an interesting semester... looks like I'm going to go to the help room a lot.
 
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