Final answer:
The question seeks to establish the formula for friction force without the coefficient. Friction is dependent on the normal force and the contact surface types. The typical formula is f = μ N, but without μ, the focus shifts to N and surface qualities.
Step-by-step explanation:
The question is asking to determine the formula for the friction force without considering the coefficient of friction. From physics, we know that friction is the force resisting the relative motion of solid surfaces, fluid layers, or material elements sliding against each other. The formula typically includes the coefficient of friction and the normal force; however, when the coefficient is not considered, we refer to the general formula f = μ N, where f is the frictional force, μ is the coefficient of friction, and N is the normal force. An example illustrating the concept is if we have a crate with a mass of 100 kg on a flat surface, its weight W is the product of its mass m and the acceleration due to gravity g (W = mg). The normal force is equal to the weight if there are no other vertical forces, N = W. Without the coefficient, the normal force essentially becomes a key factor since friction is dependent on the perpendicular force exerted by the surface.
When analyzing kinetic friction or static friction without the specific coefficients, the analysis would revolve around understanding the types of materials in contact and the scenario of the interaction. For instance, if we consider two surfaces sliding against each other, the kinetic friction would normally be less than the maximum static friction due to the lower interaction forces once the object is in motion. This entire discussion underlines the concept that friction is not solely dependent on the coefficient but also involves the normal force and the nature of the surfaces in contact.