Question

What are the two factors that determine the strength of the force of friction between two sliding objects?

Answer 1

Hint: Friction is the opposition that one surface meets when passing over another. Friction depends on the harshness or smoothness of the surfaces that are in touch. Friction is free of the area that is in connection. Friction is proportional to the force acting on the contacting surfaces. The coefficient of friction and mass of objects plays a vital role in determining the strength of the friction between two sliding objects.

Complete step by step answer:
 The friction force is the force applied by a surface as an object passes across it or makes an effort to travel across it. When there is relative action between two surfaces in touch, forces produce opposing the movement. These forces are friction forces. Friction creates between solid surfaces, fluid surfaces, and fluid-solid surfaces. Viscosity is the fluid's friction. When two surfaces are in contact, and relative movement occurs, the frictional force's direction on the body is reverse of the body's action at the contact point. The limiting friction to the Normal reaction among two surfaces depends on the surfaces' materials and the surfaces' nature, not on the normal reaction's magnitude. The ratio is the coefficient of friction.
The friction force is:
$F_{f} = \mu F_{N}$
where $ F_{N}$ is the normal force.
$\mu$ is the coefficient of friction.
$ F_{N} = mg cos\theta$
Where, m is the mass of the object.
g is the acceleration due to gravity.
 $\theta$ is the angle.
The two factors that determine the strength of the force of friction between two sliding objects are the mass of the object, coefficient of friction.

Additional Information: The proportion between the frictional force and the perpendicular force between the surfaces also persists steady but slightly less than the limiting friction ratio. The friction force is reversing the direction of movement and free of velocity. The coefficient of static friction is slightly larger than the coefficient of dynamic friction.

Note: If the bodies' oppositional forces are sufficient to keep the bodies in equilibrium, then the frictional forces are called limiting friction. The extent of the limiting friction is not dependent on the junction area of the two surfaces. The sliding frictional forces persist consistently; the sliding frictional force is independent of the acceleration and velocity.