Calculating friction coefficients can be achieved using the formula μ = F/N, where F is the frictional force and N is the normal force. It's important to note that the normal force, R, acts perpendicular to the surface, and R = mg is applicable only on horizontal surfaces. For energy-based calculations, the work done by friction can be expressed as w = xRμ, leading to μ = w/(xR). Different methods exist for determining the coefficient of friction based on specific scenarios. Providing a specific example could help clarify any difficulties encountered in the calculations.