A 1200 Kg car rounds a corner of radius r = 45m. If the coefficient of static friction between the ties and the road is us = 0.82, what is the greatest speed the car can have in the corner without skidding?

The greatest speed of the car is 19.36m/s

Explanation:

The maximum speed the car will attain without skidding is given by:

F = uN = umg ... eq1

But F = mv^2/r

mv^2/r = umg

Dividing both sides by m, leaves you with:

V = Sqrt (ugr)

Where u = coefficient of static friction

g = acceleration due to gravity

r = raduis

Given:

U = 0.82

r=0.82

g = 9.8m/s

V = Sqrt (0.82 * 9.8 * 45)

V = Sqrt (374.85)

V = 19.36m/s