# A ball is tied to one end of a string. (Projectile Motion)

###### Question:

A ball is tied to one end of a string. The other end of the string is fixed. The ball isset in motion around a vertical circle without friction. At the top of thecircle, theball has a speed of √gR, as shown in the figure below. At what angle θ should the string be cut so that the ball will travel through the center ofthe circle?

PS. The answer is 100.6 I need to show work.

Energy = 1/2 mgR + mg(2R)

B/C Energy is conserved

Energy = mgR(5/2) J

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