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

General Science (NDA) Physics

An object moves in 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 acceleration 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 is greater for the sharp curve than for the gentle curve.

Centripetal Acceleration, ac = v2/r

The speed is constant. If the speed (v) doesn't change, then the bigger the r is, the smaller ac will be. A gentle curve has a bigger radius than a sharp curve.