a car enters a 300m radius flat curve on a rainy day when the coefficient of static friction is between its tires and the road is .600. What is the maximum speed a car can travel around a curve without sliding.

Answer 1

centripetal force points towards the center of the circle, and force friction points the opposite way. Set the two equal to each other

Force Normal * coefficient of static friction = mass*velocity^2/radius

(mg)Us = mv^2/r
mass isn't given in the problem because it cancels on both sides.

9.8Us = V^2/r

9.8(.600) = v^2/300

v^2 = 1764

v = 42 m/s

Answer 2

A car enters a 300-m radius flat curve on a rainy day when the coefficient of static friction between its tires and the road is 0.600. What is the maximum speed which the car can travel around the curve without sliding?

m/s 33.1 0

m/s 29.6 0

m/s 42

m/s 24.8