Finding the result of a collision

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To model a collision between two objects, it's essential to determine the result of the collision before calculating the force of impact. Pre-calculated constants can be helpful, but specific equations for collisions, such as those for billiard balls, provide a more direct approach. The relevant formulas for calculating final velocities after a collision are v1 = (u1(m1-m2)+2*m2*u2)/(m1+m2) and v2 = (u2(m2-m1)+2*m1*u1)/(m1+m2). Understanding the complexity of scattering in subatomic particles versus larger objects is also important in collision modeling. Further questions on this topic can be addressed in separate threads.
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I am trying to figure out how to correctly model a collision between two objects. My original plan was to get the force of impact and use that to get the result of the collision, but apparently you need the result of collision before you can find the force of impact.

How would I find out what the result of a collision is without the force of impact? Are pre-calculated constants used, like in friction?
 
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Thanks! These were the formulas I was looking for:
v1 = (u1(m1-m2)+2*m2*u2)/(m1+m2)
v2 = (u2(m2-m1)+2*m1*u1)/(m1+m2)

I have another question along these lines, but I'll make a new thread for it.
 
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