An object moves m a circular path with a constant speed Which one of the following statements is cor...........

General Science (NDA) Physics

An object moves m a circular path with a constant speed. Which one of the following statements is correct?

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).

The centripetal accel eration is greater for a gentle curve than that for a sharp curve.

The centripetal acceleration is the same for both, the gentle and sharp curves.

The centripetal acceleration causes the object to slow down.

Explanation:

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).
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.