Elastic collision find final velocity 8.39

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In an elastic collision between two gliders, momentum and kinetic energy are conserved. The first glider has a mass of 0.147 kg and an initial speed of 0.720 m/s, while the second glider has a mass of 0.309 kg and an initial speed of 2.26 m/s in the opposite direction. To find the final velocities of both gliders, set up two equations based on conservation laws. The solution involves solving these equations simultaneously to determine the final speeds. The discussion emphasizes the importance of using both momentum and kinetic energy conservation principles to arrive at the correct final velocities.
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A glider of mass 0.147 kg is moving to the right on a frictionless, horizontal air track with a speed of 0.720m/s . It has a head-on collision with a glider 0.309 kg that is moving to the left with a speed of 2.26 m/s. Suppose the collision is elastic. Find the magnitude of the final velocity of the 0.147 glider. Find the magnitude of the final velocity of the 0.309 glider.

So fa all that I know is that both of the gilders will go in the direction of the left when they coliide. I started my problem thinking that i could add the momentum of the gliders together and go from there but i am haveing trou
ble sticcking to the plan
 
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Collision is elastic so kinetic energy is conserved and so is momentum.
 
anything else that can hellp me?
 
That's all you really need I believe,you'll get two equations with two unknowns and you can solve.
 

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