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A physical pendulum consists of a vertical board of mass 5.37 kg, length 171 cm, and...

A physical pendulum consists of a vertical board of mass 5.37 kg, length 171 cm, and width 12 cm hanging from a horizontal, frictionless axle. A bullet of mass 149 g and a purely horizontal speed v impacts the pendulum at the bottom edge of the board. The board then makes a complete circle.

(a) If the bullet passed through the board, reducing its speed by a factor of 1/2, what is the minimum speed of the bullet?

(b) If the bullet embedded itself in the board, what is the minimum speed of the bullet?

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