A 2100 lead sphere is hanging from a hook by a thin wire, Physics

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A 2100 lead sphere is hanging from a hook by a thin wire

A 21.00 lead sphere is hanging from a hook by a thin wire 3.90 long, and is free to swing in a complete circle. Suddenly it is struck horizontally by a 5.00 steel dart that embeds itself in the lead sphere.

What must be the minimum initial speed of the dart so that the combination makes a complete circular loop after the collision?

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Physics: A 2100 lead sphere is hanging from a hook by a thin wire

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