Question

A ball is placed inside an unmounted tire, which is then rolled down a long hill. Identify the correct statement(s) about the ball and the tire .
I. The centripetal force on the tire operates in the same direction as the centripetal force on the ball.
II. The centripetal force acting on the tire is opposite the centripetal force acting on the ball.
III. The centripetal force acting on the ball is equal to the centripetal force on the tire.

• A. I only
• B. II only
• C. I and III only
• D. II and III only
• E. I, II, and III

Answer 1

The correct option is A I only

The direction of centripetal force is always towards the center of circle , as both tyre and ball are rotating together therefore centripetal force on tyre and ball will be in the same direction i.e. toward the center of circular motion.

Now centripetal force is given by , $f=m{v}^2/r$ ,

We can see that centripetal force depends upon mass of the object , as mass of ball is different from tyre therefore centripetal force is not equal.