Friction is primarily considered independent of surface area, as indicated by the Coulomb model, which states that static and dynamic coefficients of friction are constants related only to normal force. This model is effective for rigid objects with hard surfaces in controlled conditions, but it oversimplifies the complexities of friction. More advanced models take into account factors like material flexibility and atomic structure, which are typically analyzed through computer simulations rather than manual calculations. There is confusion among students regarding the nature of Coulomb's law compared to other physical laws, highlighting the need for deeper understanding. The discussion also raises the question of whether the friction equation can be derived from Coulomb's law for electric charges.