A child whirls a rubber ball on a string in a horizontal circle at speed and radius

PHYSICS · Single correct · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A child whirls a rubber ball on a string in a horizontal circle at speed v0v_0 and radius r0r_0. The child then shortens the string so that the radius becomes 12r0\tfrac{1}{2}r_0 while wishing to keep the magnitude of the ball’s centripetal acceleration the same as before. Which of the following is closest to the required new speed? (a) 1.41 v01.41\,v_0 (b) 0.71 v00.71\,v_0 (c) 0.50 v00.50\,v_0 (d) 2.00 v02.00\,v_0

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