what is the magnitude kinetic frictional force between a 1500 kg car decelerating at a rate of 5.0m/s^2 skidding across a horizontal road.
To calculate the magnitude of the kinetic frictional force, we need to use the following formula:
Frictional Force (Fk) = coefficient of kinetic friction (μk) * Normal force (N)
The coefficient of kinetic friction depends on the materials in contact. Let's assume a typical range of 0.1 to 0.8 for a car on a road.
To find the normal force (N), we need to consider that the car is skidding across a horizontal road. In this case, the normal force is equal to the gravitational force acting on the car, which is given by:
Normal force (N) = mass (m) * acceleration due to gravity (g)
The mass of the car is 1500 kg, and the acceleration due to gravity is approximately 9.8 m/s^2.
Normal force (N) = 1500 kg * 9.8 m/s^2 = 14,700 N
Now we can calculate the kinetic frictional force:
Fk = μk * N
Substituting the normal force and assuming a coefficient of kinetic friction of 0.5 (as a typical value), we have:
Fk = 0.5 * 14,700 N = 7,350 N
Therefore, the magnitude of the kinetic frictional force between the car and the road is 7,350 Newtons.