A 0.7-kg ball that can slide on a horizontal frictionless surface is attached to a fixed point O by means of an elastic cord of constant nt k = 150 N/m and un-deformed length 600 mm. The ball is placed at point A, 800 mm from O, and given an initial velocity v0 perpendicular to OA. Determine

(a) The smallest allowable value of the initial speed v0 if the cord is not to become slack,

(b) The closest distance d that the ball will come to point O if it is given half the initial speed found in part a.

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300 mm 500 m