Question

the diagram below represents a roller coaster car traveling counterclockwise in a vertical circle.
when the car is in the position shown, what are the directions of the centripetal force acting on the car and the velocity of
the car?
a. the centripetal force is directed to the right and the velocity is directed downward.
b. the centripetal force is directed downward and the velocity is directed to the right.
c. the centripetal force and velocity are both directed to the right.
d. the centripetal force and velocity are both directed downward.

Explanation:

1. Centripetal Force Direction: Centripetal force always acts toward the center of the circular path. In the given diagram, the car is on the left - hand side of the vertical circle. The center of the circle is to the right of the car's position. So, the centripetal force acting on the car is directed toward the center, which is to the right.
2. Velocity Direction: The velocity of an object moving in a circular path is tangent to the path at the object's position. For a counter - clockwise - moving roller - coaster car at the left - hand side of the vertical circle, the tangent to the circle at that point is directed downward. So, the velocity of the car is directed downward.

Answer:

A. The centripetal force is directed to the right and the velocity is directed downward.