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Ail old firework shell from last year\'s July 4th show was launched but failed t

ID: 2222250 • Letter: A

Question

Ail old firework shell from last year's July 4th show was launched but failed to explode. Instead, it fell and came to rest, hanging by a thread from a tree branch above a school playground. Its mass is 7.98 kg. Now (many months later), it finally explodes-into three pieces. Immediately after the explosion: Piece A (mA = 1.30 kg) is moving horizontally eastward at 32.4 m/s. Piece B (mB = 0.65 kg) is moving horizontally westward at 64.8 m/s. All three pieces land eventually somewhere on the playground. As it happens, Piece C lands on (and sticks to) the surface of the merry-go-round (I= 120 kg m2), at a distance r = 1.30 m from its center hub, as shown here. The surface of the merry-go-round is 7.19 m lower in elevation than the position of the shell when it was hanging from the tree. Just before piece C lands on it, the merry-go-round is rotating at a rate of 2.50 rad/s. At what rate is it rotating just after piece C lands on it?

Explanation / Answer

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