we know that objects decelerate because of friction, and that on different surfaces they move at a slower or?

Question

faster average speed depending on the surface, but does the rate at which it decelerates follow the same rules as it would on any surface, or does the deceleration rate change and not obey any rules. for example, a falling object accelerates 9.8 m/s/s and after the 2nd second you would multiply that by 2 after three seconds you would multiply that by 3 and so forth...it basically follows a rule regardless of mass. my question is whether an object will become slower on a ruff surface at a much faster rate than it would if it were on another surface which was more smooth. i already know it will go slower from the get go.

Answer 1

It is multiplied by the number of seconds travelled , every surface has its own coefficient of friction which you must have before you can calculate frictional loses of any object moving.

The rate of change is controlled by the friction coefficient of the material ie. steel,wood, glass, etc.

Laws Of Friction
1. The maximum friction which can be developed is proportional to the normal reaction between the two surfaces.

2. The maximum friction force is in-dependant of the size of contact area .

3. The friction force always opposes motion and is always parallel to the plane of motion.

Answer 2

Generally, the rougher the surface, the higher the coefficient of friction.The force acting on an object due to friction is
F = μW, and
W = mg, so
F = μmg = ma
As is the case with an object falling in a vacuum with constant acceleration, the mass cancels out, and acceleration is
a = μg