For a personal project, I am attempting to write a fairly realistic collision simulator (for relatively large objects, not quantum stuff). As I was consulting my physics textbook and various online resources such as this hyperphysics article, or this one, it appears that all methods for determining collision force (or force/area) that I've found rely to some degree on conservation principles, which require some knowledge of post-collision parameters (such as distance traveled after impact, post-collision vectors, time of collision, etc.).
If I have absolutely no knowledge of any post-collision parameters, but I have theoretical access to any and all physical, material and motion properties of the colliding objects:
- Is there a way I can determine (or at least estimate) the force exerted on each body as a result of the collision?
- What properties of the objects do I need to know?
In case anyone has any additional insights/criticisms/suggestions about my methods, I plan to use the collision force to determine whether yield strengths of either material are exceeded, which can help me determine what kind of collision results (elastic/inelastic), whether penetration occurs, breaking, shattering, etc.
What If I add the assumption that all colliding objects consist of a single material? i.e. no compound objects (such as cars) with multiple sub-components of various compositions.