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Suppose that a very simple ballistic pendulum is made by attaching a 25 kg rectangular wooden block with dimensions L = 0.50 m, W = 0.40 m and H = 0.25 m to a 1.5 m long thin metal rod with a mass of 2.5 kg. The rod is attached to the block in the center of one of the faces with area WL (the rod is parallel to the sides of length H). The apparatus is hung straight down from a smooth axle so that the block is at the bottom. The pendulum can rotate freely about the axle. A 4.0 g bullet moving perfectly horizontally at 920 m/s strikes the block in the exact center of one of the faces with area WH (the bullet was moving parallel to the sides of length L). The bullet embeds itself in the exact center of the block. What is the angular speed of the entire system about the axle after the collision?

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