A car goes around a curve of a radius r at a constant speed v. Then it goes around the same curve at half of the original speed. Which of the following correctly identifies the change in force and the reason for it to occur? 1) The centripetal force increase by a factor of 2 because velocity and force are directly proportional when an object is traveling along a circular path.

2) The centripetal force decrease by a factor of 4 because velocity and force have a proportional ,but squared relationship when an object is traveling along a circular path.

3) The centripetal force increase by a factor of 1/2 because velocity and force have a proportional ,but squared relationship when an object is traveling along a circular path.

4) The centripetal force decrease by a factor of 1/4 because velocity and force have a proportional ,but squared relationship when an object is traveling along a circular path.