SOLUTION: I have tried to solve this I can't seem to get it set up right. The force needed to keep a car from skidding on a curve varies inversly as the radius of the curve and jointly as th

Question 98500This question is from textbook Mathematical ideas
: I have tried to solve this I can't seem to get it set up right. The force needed to keep a car from skidding on a curve varies inversly as the radius of the curve and jointly as the weight of the car and the square of the speed If 242 pounds of force keep a 2000 pound car from skidding on a curve of radius 500 feet at 30 miles per hour, what force would keep the same car from skidding on a curve radius 750 feet at 50 miles per hour? This question is from textbook Mathematical ideas

Answer by ankor@dixie-net.com(22740) (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
Force = 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
k = 242
:
k = 242
:
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
:
F = .0672
:
F = .0672
:
F = .0672 * 6666.67
:
F = 448 lb
RELATED QUESTIONS
The force needed to keep a car from skidding on a curve varies jointly as the weight of... (answered by Earlsdon)

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 scott8148)

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 Alan3354,Boreal)

Solve: The force needed to keep a car from skidding on a curve varies jointly as the... (answered by Edwin McCravy)

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 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 scott8148)