1. At what maximum speed can a car travel without skidding on a horizontal bend of a road with a radius of 20 m if the coefficient of friction of the car's tires to the road surface is 0.6?

 

 

2. The car is driving on a hilly road. The bend radius of the road hill is 90 m. At its highest point, the speed of the car is 15 m/s. The mass of the car is 2 tons. Draw the forces acting on the car!

 

Calculations:

 

a) The surface reaction force acting on the car at the highest point of the hill;

 

b) At what speed must the car move in order for the car to reach the highest point of the hill if passengers would be weightless