Equations for surface-object contact.

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ScienceNerd36
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Hello there my fellow physics fans!

I have decided to enter a national science competition in my potato obsessed homeland of Ireland called the "BT Young Scientist Awards".

I am simply looking for clarification of the uniqueness of my project concept:

I am planning on creating equations that predict the outcome of an object coming in contact with a surface.

If this description rings any bells please let me know.

Thanking you in advance for any help you may offer.

The Mysterious,
ScienceNerd36.
 
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Just to clarify, the components of this equation may be: surface consistency, impact of force, heights etc.
 
I suggest one of the first books you look at be Johnson's Contact Mechanics.