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An object moves in a circular path with ...

An object moves in 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 acceleration 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.

Text Solution

Verified by Experts

The correct Answer is:
A
The centripetal acceleration of the object is smaller for a gentle curve (i.e., curve oflarger radius) than that for a sharp curve (i.e., curve of smaller radius).The centripetal acceleration is greater for the sharp curve than for the gentle curve. Centripetal Acceleration,
`a_(c)=v^(2)//r`
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