SOLUTION: 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. If 242 lb. of

Algebra.Com
Question 402921: 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. If 242 lb. of force keeps a 2000-lb. car from skidding on a curve of radius 500 ft. at 30 mph, what force would keep the same car from skidding on a curve of radius 750ft. at 50mph?
Any help would be Great! Thanks

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
"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" ___ f = k * w * s^2 / r^2

use the given conditions to find k ___ k = (f * r^2) / (w * s^2) = (242 * 500^2) / (2000 * 30^2)

use the calculated value of k to find the new force

RELATED QUESTIONS

Skidding Car: The force needed to keep a car from skidding on a curve varies inversely as (answered by KMST)
The force needed to keep a car from skidding on a curve varies inversely as the radius of (answered by josgarithmetic,greenestamps,mananth)
The force needed to keep a car from skidding on a curve varies inversely as the radius of (answered by Alan3354,Boreal)
The force (f) needed to keep a car from skidding on a curve varies jointly as the weight... (answered by josgarithmetic)
The force needed to keep a car from skidding on a curve varies jointly as the weight of... (answered by Earlsdon)
The force needed to keep a car from skidding on a curve varies jointly as the weight of... (answered by scott8148)
Solve: The force needed to keep a car from skidding on a curve varies jointly as the... (answered by stanbon)
The force needed to keep a car from skidding on a curve varies jointly as the weight of... (answered by stanbon)
Solve: The force needed to keep a car from skidding on a curve varies jointly as the... (answered by Edwin McCravy)