How to determine the force absorbed by an object in a collision?

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To determine the force absorbed by an object in a collision, it's essential to consider the masses, speed vectors, and impulse of the colliding objects. The restitution coefficients of the objects play a crucial role in calculating the net restitution during the collision. When two objects with different restitution coefficients collide, the net restitution can be determined by averaging their coefficients, often weighted by their masses. Additionally, the energy lost by each object can be calculated using the difference in kinetic energy before and after the collision, factoring in their respective restitution coefficients. Understanding these principles is vital for accurately simulating collision responses in a game engine.
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I'm working on a physics reaction in a simple game engine, and I need to retain the amount of force absorbed by an object.

The collisions and their responses are based on vectors.

I have the objects respective masses, their speed vectors, from which I can determine the impulse and the new movement vectors.

But I need to know ... what effects how much force is lost during the collision when two objects with DIFFERENT restitution coefficients collide?

What I mean is, if two objects have different restitution co-efficients, how is the net restitution determined?

Also, based on those different restitution co-efficients, is it possible to determine how much energy is lost by each respective object?

...sorry if this is the wrong section.
 
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Force=dp/dt
change in momentum divided by the impact time .
 
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