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 />
1.Angular momentum is conserved
Question 2A child is standing at the rim of a freely rotating disk holding a rock. The disk rotates without friction. The rock is dropped at the instant shown. As a result of dropping the rock, what happens to the angular velocity of the child and disk?
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)
1.increases
2.stays the same
3.decreases
4.cannot be determined