Elastic collision/ projectile motion

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SUMMARY

The discussion focuses on an elastic collision scenario involving a 4kg mass (m1) moving at 3m/s colliding with an 8kg mass (m2) at rest on a frictionless table. After the collision, m1 has a velocity of 2m/s and m2 has a velocity of 1m/s. The problem requires calculating the distance each mass travels from the base of the table after leaving the edge, given that m2 is positioned 0.66667m from the edge. The discussion emphasizes the need to apply conservation of momentum and energy principles to solve for the unknowns, particularly the height of the table and the time of flight.

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I have a 4kg mass (m1) moving at 3m/s towards a 8kg mass (m2) at rest on a 2m long frictionless table that is of unknown height. I solved for the velocities after the collsion m1= 2m/s and m2= 1m/, suppose the two masses were placed so that they left the edges of the table in opposite directions at the same time, ie the collision happened so that m2 was placed 0.66667m from the edge. What is the distance that each travels from the base of the table (delta x).
I have
m1= 4kg, and a initial vx of 2 m/s
m2= 8kg, and a initial vx of 1 m/s
I do not know the height or time of flight so any way I substitute equations I get 2 unknowns. Any help or ideas would be appreciated!
 
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This probably belongs in the homework section. You should show how you calculated your velocities. Hint: The values may be correct, but recheck which velocity is for which mass, and be alert for a rebound after collision. Try using simultaneous equations involving the conservation of momentum and the conservation of energy.
 

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