Air Track Elastic Collision: Solving for Final Velocities

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SUMMARY

The discussion focuses on solving for the final velocities of two gliders involved in an elastic collision on a frictionless air track. The 0.159 kg glider, initially moving at 0.870 m/s, collides head-on with a 0.310 kg glider moving at 2.15 m/s in the opposite direction. The conservation of momentum and kinetic energy principles are applied to derive the final velocities, which the participants are struggling to calculate accurately. The correct approach involves setting up equations based on these conservation laws to find the final velocities of both gliders.

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  • Familiarity with kinetic energy equations
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Adel A
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Homework Statement


A 0.159kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.870m/s . It has a head-on collision with a 0.310kg glider that is moving to the left with a speed of 2.15m/s . Suppose the collision is elastic.

a) Find the magnitude of the final velocity of the 0.159kg glider.

b) Find the magnitude of the final velocity of the 0.310kg glider.

Homework Equations

The Attempt at a Solution


I know that both the kinetic energy and the momentum is preserved, and I have "constructed" both the equations, but I can't get the right answer!

Here are my previous answers (which were wrong):
Part A:
2.1752
1.7161
1.1262
0.4295

Part B:
0.5899
0.4295
0.2

Thanks!
 
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Adel A said:
I know that both the kinetic energy and the momentum is preserved, and I have "constructed" both the equations, but I can't get the right answer!
Show how you set up the equations and how you solved them.

Adel A said:
Here are my previous answers (which were wrong):
Part A:
2.1752
1.7161
1.1262
0.4295
Don't just give a list of answers. Show how you got them. That way we can see where you are going wrong.
 

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