pWYxRJZ7cP36dbe9ypQ
pE4f40ZC5Y2UD5xBj4M
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 />
1.path (1)
2.path (2)
3.path (3)
4.path (4)
5.path (5)
6.none of the above
7.cannot be determined"
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. Which of the following statements is true about the process of dropping the rock?
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)