- #1

sweetride01

- 4

- 0

## Homework Statement

Ok, well I feel this is a little beyond introductory physics, but maybe I'm wrong. I'm helping to create a program to simulate a car stopping based on input variables - road surface, Vi, tyre compound, mass, etc. I do however, need some equations to simulate this. So in most cases, the tyres are the limiting factor. Assuming that the car has no ABS we can assume [tex]\mu[/tex]Fk . But anyway, the main problem is calculating how fast the car will stop, based upon the stopping force the tyres can provide (a % of force from brakes, depending on friction) and the other input variables. So, the force will be in Newtons. But these Newtons are "eating away" at the KE of the car. (or the momentum? I assume we'd be dealing with KE here).

Can anyone please derive an equation relating stopping force and deceleration of the car, for say a 2000kg car traveling at 30m/s?

## Homework Equations

Not sure...

## The Attempt at a Solution

None have come out nicely yet...