Maximum acceleration of a car

In summary, the maximum acceleration a car can undergo is dependent on the coefficient of static friction between the tires and the ground, as well as the normal force. Without a given mass, this equation cannot be solved.
  • #1
Hailcanadien
7
0

Homework Statement


What is the maximum acceleration a car can undergo if the coefficient of static friction between the tires and the ground is 0.38?

that is it, no mass or anything else

Homework Equations


F=ma
(friction coefficient)Fn=Ffr
Fn = normal force
Ffr = friction force


The Attempt at a Solution


I have tried different things, but I can't figure out how to do the problem without a mass...
 
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  • #2
Show your calculations.
The car will start moving when the applied force overcomes the frictional force.
 
  • #3
Hailcanadien said:
1.
I have tried different things, but I can't figure out how to do the problem without a mass...


The fact that no mass is given should be a clue. In other words you can expect that the mass of the car will cancel from the equation you want to develop.

The previous hint was not quite correct. In essence you can think of the car being the car is accelerated by any force less than, or just equal to the static frictional force between the tires and the road. Above that and the tires will spin causing rubber to be burned and the car accelerates more slowly.

Hence you need to combine F = ma and your equation for the frictional force. Remember that the frictional force is given by the coefficient of static friction times the normal force. What is the normal force? There you will find a mass that will cancel the m in F = ma.
 

1. What is maximum acceleration?

The maximum acceleration of a car is the highest rate of change in velocity that a car can achieve. It is a measure of how quickly a car can increase its speed.

2. How is maximum acceleration calculated?

Maximum acceleration is calculated by dividing the change in velocity by the time it takes to achieve that change. This can be represented by the equation a = Δv/Δt, where "a" is acceleration, "Δv" is the change in velocity, and "Δt" is the change in time.

3. What factors affect a car's maximum acceleration?

There are several factors that can affect a car's maximum acceleration, including the engine power, weight of the car, traction of the tires, and aerodynamics. The design and performance of the car's engine and transmission also play a significant role in determining its maximum acceleration.

4. What is a good maximum acceleration for a car?

The maximum acceleration of a car can vary greatly depending on the type and model of the car. In general, a well-performing sports car can have a maximum acceleration of around 0-60 mph in 3-4 seconds, while a standard sedan may have a maximum acceleration of around 0-60 mph in 8-10 seconds.

5. Can maximum acceleration be improved?

Yes, maximum acceleration can be improved through various means such as upgrading the engine or transmission, reducing the weight of the car, and improving the aerodynamics. Additionally, proper maintenance and tuning of the car can also help improve its maximum acceleration.

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