Problema Solution

The force needed to keep a car from skidding on a curve varies jointly as the weight of the car and the square of the car's speed, and inversely as the radius of the curve. If a force of 3600lbs is needed to keep an 1800lb car travelling at 20mph from skidding on a curve of radius of 600ft, what force would be required to keep the same car from skidding on a curve of radius 570ft at 50mph?

Answer provided by our tutors

he force needed to keep a car from skidding on a curve varies jointly as the weight of the car and the square of the car's speed, and inversely as the radius of the curve. If a force of 3600lbs is needed to keep an 1800lb car travelling at 20mph from skidding on a curve of radius of 600ft, what force would be required to keep the same car from skidding on a curve of radius 570ft at 50mph?

F = mv^2/r

F1/F2 = v^2*R/V^2*r

3600/F = 400*570 / 2500*600

F = 23684 lbs