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.

**Answer**

The centripetal acceleration is greater for the sharp curve than for the gentle curve.

Centripetal Acceleration, a_{c} = v^{2}/r

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

**The correct option is A.**