When the coefficient of friction increases, and the force between the two surfaces remains constant, the friction force will:

When the coefficient of friction increases while the force between two surfaces remains constant, the friction force will indeed increase. The friction force is calculated by multiplying the coefficient of friction by the normal force (the perpendicular force acting between the surfaces in contact).

As the coefficient of friction rises, it indicates a greater resistance to movement between the two surfaces. Therefore, if the normal force remains unchanged, a higher coefficient means that the resulting frictional force will be greater. This relationship highlights how essential the coefficient of friction is in determining the overall frictional force acting on the surfaces.

In contrast, if the coefficient of friction were to decrease or remain the same, the frictional force would either diminish or stay constant, not increase. This reinforces the principle that the frictional force is directly proportional to the coefficient of friction under consistent normal force conditions.