Centripetal Forces

The required centripetal force to keep a car moving in a circular path is: This force is provided by static friction on a level road, not kinetic. The maximum value of static friction is . So for the car to maintain circular motion safely, Thus:

The total energy of a particle moving in a circular path is the sum of its kinetic and potential energies. The centripetal force is given by: The work done by this force leads to the potential energy. The kinetic energy is given by: Using the relation between centripetal force and velocity, we get the kinetic energy and potential energy. The total energy of the particle is: Thus, the correct answer is (A).