Elastic Collision Problem. Help

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Homework Help Overview

The problem involves two objects, A and B, colliding elastically on a frictionless surface. Object A has a mass of 1 kg and is moving left at 2 m/s, while object B has a mass of 0.5 kg and is moving right at 1 m/s. The goal is to determine the velocities of both objects after the collision.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss applying the conservation of momentum and energy principles, noting the importance of the initial velocities' directions. There are mentions of different approaches to solving the problem, including focusing on momentum conservation first.

Discussion Status

Some participants have provided guidance on the principles to apply, and one participant indicates they have arrived at an answer, suggesting that the discussion may have been productive. However, there is no explicit consensus on the methods used or the final outcomes.

Contextual Notes

The discussion may be constrained by the need to adhere to homework guidelines, which could limit the depth of exploration into the solution process.

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Homework Statement


2 objects A & B rolling along a frictionless horizontal surface. object A of mass 1 kg is initially moving to the left @ 2 m/s while object B of mass 0.5 kg moves to the right @ 1 m/s. What is the velocity of each object after the collision if the collision is elastic?


Homework Equations



[m][/A][v][/A]+[m][/B][V]=[m][/A][v][/A]'+[m][V]'[SUBm][/SUB1]

The Attempt at a Solution



 
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Apply the law of conservation of momentum and law of conservation of energy. Take care that the two initial velocities are not in the same direction.
 
Since there is no net external force on the system, the momentum is conserved... and since it's also a elastic collision energy is also conserved.

The easiest way to go about this problem is to use conservation of linear momentum
7745116605c54295c6c3b696cea2d39f.png


another way of going about this is that since energy is also conserved.
bb6e6a256bd18a66718b52e694d5440c.png


Let me know how it goes...
 
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hey, thanks guys. Got the answer. phew..!:smile:
 

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