Calculating Stopping Distance of Car with 0.45 Frictiongrade

In summary, the formula for calculating the stopping distance of a car with 0.45 frictiongrade is: Stopping Distance = (Initial Speed)^2 / (2 * Frictiongrade * Gravity). The initial speed of a car can be determined by using a speedometer or by measuring the distance traveled and time taken to cover that distance. The frictiongrade represents the coefficient of friction between the car's tires and the road surface and affects the car's braking ability. This formula can be used for all types of cars as long as the frictiongrade remains constant, but may not be accurate for cars with significant differences in weight or tire traction. It can be used in real-life scenarios to determine the minimum safe distance between cars and to understand the
  • #1
Izekid
40
0
Here it comes, I have a frictiongrade who is 0,45 A car who is driving in 18m/s and mass of the car 1200kg

For the Frictionpower it is : 0,45 * (mg) = 5,5 kN

And how do I calculate the meters the car travels until it stops?
 
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  • #2
initial kinetic energy - work done by friction = 0

(1/2)m(vo)^2 - f(delta x) = 0

solve for delta x
 
  • #3
Use the work-kinetic energy theorem. That is the work done by all of the forces acting on an object (or the resultant of all of these) is equal to it's change in kinetic energy:
[tex]W_{F_R}=\Delta K[/tex]
 

FAQ: Calculating Stopping Distance of Car with 0.45 Frictiongrade

What is the formula for calculating the stopping distance of a car with 0.45 frictiongrade?

The formula for calculating the stopping distance of a car with 0.45 frictiongrade is: Stopping Distance = (Initial Speed)^2 / (2 * Frictiongrade * Gravity)

How do you determine the initial speed of a car for this calculation?

The initial speed of a car can be determined by using a speedometer or by measuring the distance traveled and time taken to cover that distance.

What is the significance of the frictiongrade in this calculation?

The frictiongrade represents the coefficient of friction between the car's tires and the road surface. It determines how well the car's tires can grip the road and affect the car's braking ability.

Can this formula be used for all types of cars?

Yes, this formula can be used for all types of cars as long as the frictiongrade remains constant. However, it may not be accurate for cars with significant differences in weight or tire traction.

How can this calculation be used in real-life scenarios?

This calculation is used to determine the minimum safe distance a driver should maintain between their car and the car in front of them. It also helps in understanding the impact of road conditions, such as wet or icy roads, on the car's stopping distance.

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