A driver in a 1000kg car traveling at 2.0m.s slams on the brakes and skids to a stop. If the coefficient of friction between the tires and the horizontal road is 0.8 how long will the skid marks be.

Answer 1

First, we need to find the stopping distance, which is the distance the car travels before coming to a complete stop. We can use the equation:

stopping distance = (initial velocity)^2 / (2 * acceleration)

where the acceleration is the frictional force acting on the car, which is equal to the coefficient of friction multiplied by the gravitational acceleration (9.81 m/s^2).

Initial velocity = 2.0 m/s
Acceleration = 0.8 * 9.81 m/s^2 = 7.848 m/s^2

Stopping distance = (2.0 m/s)^2 / (2 * 7.848 m/s^2) = 0.255 m

Therefore, the length of the skid marks will be 0.255 meters.