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**Unformatted text preview: **= y at the point 2. Only gravity does work, so 3 3 2 2 U K U K + = + ( 29 R g m v m v m 2 tot 2 3 tot 2 1 2 2 tot 2 1 + = Use Rg v = 3 and solve for s m 13.1 5 : 2 2 = = gR v v Now apply conservation of momentum to the collision between the dart and the sphere. Let 1 v be the speed of the dart before the collision. ( 29 ( 29 ( 29 s m 1 . 13 kg . 25 kg 00 . 5 1 = v s m 5 . 65 1 = v...

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