A bullet of mass 0.00169 kg and speed v passes completely through a pendulum bob of mass 27.1 kg. The bullet emerges with a speed v/2. The pendulum bob is suspended by a stiff rod of length 0.45 m and negligible mass. The acceleration of gravity is 9.8 m/s 2 . v v/2 M l What is the minimum value of v such that the pendulum bob will barely swing through a complete vertical circle? Answer in units of m/s.

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