Chapter 10, Problem 40A

Under what conditions could a car remain on a banked track covered with slippery ice?

To determine

The conditions under which a car would remain on a banked track covered with slippery ice.

Explanation of Solution

Introduction:

The motion of a car on the ice becomes difficult because of the lack of necessary frictional force. The car tends to skid.

When the edges of a curved road are raised, it is called the banking of the road. The inclination angle of the vehicle is called the banking angle.

When a road is banked, the required centripetal force is provided by the horizontal component of the normal force. This keeps the car safely on a banked track covered with ice while making a turn. In addition to this, the speed of the car and radius of the track is also important factors.

Conclusion:

Thus, if the car moves with the correct speed and the normal force provides the necessary centripetal force, the car would remain on the banked track covered with slippery ice.