Useing newton's third law of motion explain how the motion of an automobile changes when the road surface is slippery

Refer to the diagrams shown below.

The normal reaction of the road on the automobile is equal to the weight of the automobile (Newtons 3rd Law).

That is,

N = mg (g = 9.8 m/s²)

When the road surface is dry, the resisting frictional force at the wheel is

F₁ = μ₁N

where

μ₁ = the kinetic coefficient of friction.

The value of μ₁ is about 0.7 - 0.9 on a dry road.

When the road is wet, the resisting frictional force is

F = μ₂N

where

μ₂ = the kinetic coefficient of friction on a wet road.

The value of μ₂ is about 0.1 - 0.4 on a wet road.

Because μ₂ < μ₁, the automobile tends to slip on a wet road, especially if the tires are worn.