The force needed to keep a car from skidding on a curve varies inversely as the radius ...

  

The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve and jointly(directly) as the weight of the car and the square of the speed. If 242 lb of force keeps a 2000 lb car from skidding on a curve of radius 500ft at 30 mph, what force would keep the same car and same curve from skidding going at 45 mph?
 

1. A mathematical model using variation (proportions) for solving this problem with terms/unknowns and values defined.
2. Correct constant of variation and answer with proper formatted work
3. Describe the implications of these results in real life?