Collisions - Momentum destribution

AI Thread Summary
In collisions, momentum is conserved, meaning the total momentum before and after the event remains constant. To determine the distribution of momentum between colliding objects, additional equations are necessary, such as conservation of energy or the coefficient of restitution. The scenario described involves a 10kg ball colliding with a stationary 5kg ball, leading to various potential outcomes. The specific result depends on factors like energy conservation or whether the balls stick together post-collision. Understanding these principles is crucial for accurately predicting the momentum of each ball after the collision.
Routaran
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Hello,
I was thinking about colliding balls and the conservation of momentum.

If a ball weighing 10kg traveling at 10m/s collides with another stationary ball weighing 5kg, then the two balls should be moving with some velocity so that the overall momentum is 100kg m/s

My question is what govern's the distribution of the momentum between the two balls?
The 10kg ball coming to a complete stop after the collision and the 5kg ball being shot off at 20m/s is a valid configuration after the collision. but there are an infinite number of valid configurations possible.

How does one determine exactly what will happen? what else do we need to consider to accurately predict the momentum of each ball after the collision?
 
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Hello Routaran! :wink:
Routaran said:
… what govern's the distribution of the momentum between the two balls?
The 10kg ball coming to a complete stop after the collision and the 5kg ball being shot off at 20m/s is a valid configuration after the collision. but there are an infinite number of valid configurations possible.

How does one determine exactly what will happen? what else do we need to consider to accurately predict the momentum of each ball after the collision?

In a collision, momentum is always conserved.

But you need another equation to completely solve the problem …

conservation of energy, or a coefficient of restitution equation, or some constraint such as that the particle stick together. :smile:
 
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