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).Correct
(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.
Answer: (A)
Solution
The centripetal acceleration is . At the same speed it is inversely proportional to the radius, so it is smaller on a gentle curve (large
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