5. What is the maximum acceleration a car can undergo if the coefficient of static friction between the tires and the ground is 0.24?
acceleration max=
2.352 m/s^2
To find the maximum acceleration a car can undergo, we need to use the concept of friction. The maximum acceleration also known as the maximum force of friction can be determined using the coefficient of static friction between the tires and the ground.
The formula to calculate the maximum force of friction can be written as:
F_friction = coefficient of static friction * normal force
Where:
F_friction is the maximum force of friction,
coefficient of static friction is given as 0.24,
normal force is the force exerted by the ground on the car, which is equal to the weight of the car (mass of the car * acceleration due to gravity).
Since we don't have the mass of the car, let's assume a mass of 1000 kg for our example.
Now, we can find the maximum force of friction:
F_friction = 0.24 * (mass * acceleration due to gravity)
Plugging in the values:
F_friction = 0.24 * (1000 kg * 9.8 m/s^2)
F_friction = 0.24 * 9800 N
F_friction = 2352 N
Therefore, the maximum force of friction (and thus maximum acceleration) the car can undergo is 2352 Newtons.