Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): When a coin is placed on a rotating record player, it is more likely to slip off if it is placed closer to the edge than near the center. Reason (R): The required centripetal force for a particle moving in a circle of constant radius is directly proportional to the square of its angular velocity. I

Step-by-step solution

For a coin placed on a rotating record player, the angular velocity is the same for all points. The required centripetal force to prevent slipping is F_c = m r ^2 . As the distance r from the center increases (closer to the edge), the required centripetal force increases. Since the maximum static friction f_s = m g is constant, the coin is more likely to slip at a larger radius. Thus, the Assertion is true. The Reason states that for a constant radius, F_c ^2 . This is a true statement based on F_c = m r ^2 . Howev