An object moves m a circular path with a constant speed. Which one of the following statements is correct?
A. The centripetal acceleration of the “object is smaller for a gentle curve (i.e.,curve of larger radius) than that for a sharp curve (i .e ., curve of smaller radius).
B. The centripetal accel eration is greater for a gentle curve than that for a sharp curve.
C. The centripetal acceleration is the same for both, the gentle and sharp curves.
D. The centripetal acceleration causes the object to slow down.
Correct option (a) The centripetal acceleration of the object is smaller for a gentle curve (i.e., curve of larger radius) than that for a sharp curve (i.e., curve of smaller radius).
Explanation:
Centripetal Acceleration is given by A= v^2/R, where v is the velocity and R is the radius of the curve.
Since the gentle curve has a larger radius, it has a smaller centripetal acceleration.
Hence, A is the correct statement.