Question 98500
 The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve and jointly as the weight of the car and the square of the speed
Force = {{{(car weight * speed^2)/(curve radius)}}}k 
:
If 242 pounds of force keep a 2000 pound car from skidding on a curve of radius 500 feet at 30 miles per hour,
:
Find k
{{{(2000*30^2)/500}}}k = 242
:
{{{(2000*900)/500}}}k = 242 
:
{{{(1800000)/500}}}k = 242
:
3600k = 242
:
k = 242/3600
:
k = .0672
:
:
what force would keep the same car from skidding on a curve radius 750 feet at 50 miles per hour?
:
Using .0672 for k in the same formula
:
F = .0672{{{((2000*50^2)/750)}}}
:
F = .0672{{{((2000*50^2)/750)}}}
:
F = .0672{{{((50000000)/750)}}}
:
F = .0672 * 6666.67
:
F = 448 lb