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An object moves m 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 accel eration 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. |
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Answer» Correct option (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). Explanation: 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. Hence, A is the correct statement. |
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