Calculating Final Velocities in a 2-Dimensional Elastic Collision

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SUMMARY

The discussion focuses on calculating the final velocities of two pucks involved in a two-dimensional elastic collision. Puck A, with a mass of 0.236 kg and an initial velocity of 5.56 m/s, collides with puck B, which has a mass of 0.472 kg and is initially at rest. After the collision, puck A moves at an angle of 65 degrees, while puck B moves at an angle of 37 degrees. The conservation of momentum and kinetic energy equations are essential for solving this problem, specifically the equations m1vi1 + m2vi2 = m1vf1 + m2vf2 and 1/2m1vi1^2 + 1/2m2vi2^2 = 1/2m1vf1^2 + 1/2m2vf2^2.

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  • Understanding of elastic collision principles
  • Knowledge of momentum conservation laws
  • Familiarity with vector decomposition in physics
  • Ability to apply kinetic energy conservation equations
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  • Study vector decomposition techniques for momentum analysis
  • Learn about the conservation of momentum in two dimensions
  • Explore elastic collision problems in physics textbooks
  • Practice solving problems involving angles and velocities in collisions
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Students studying physics, particularly those focusing on mechanics and collision theory, as well as educators looking for practical examples of elastic collisions in two dimensions.

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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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