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23. Devil's Coin Trick. Eustass, Luffy, and Law were having a casual drink together, when Luffy eagerly
asks Eustass to show him a trick using his devil fruit power. Eustass, drunk from the sake, happily obliges,
and proceeds to take out some coins. He lays 23 coins on the ground, forming the vertices of a convex regular
23-gon with side length 2.3 m. He then sets up the coins such that the 1st coin is always moving towards the
3rd coin, the 3rd coin is always moving towards the 5th coin, and so on. (The 23"d coin moves towards the
2nd coin, and the 22nd coin moves towards the 1st coin). After some time, the coins all converge together,
completing the coin trick. If the coins all move with constant velocity 0.23 m/s, find how much time it takes
for the coins to converge. Answer in s and 3 SF.
Transcribed Image Text:23. Devil's Coin Trick. Eustass, Luffy, and Law were having a casual drink together, when Luffy eagerly asks Eustass to show him a trick using his devil fruit power. Eustass, drunk from the sake, happily obliges, and proceeds to take out some coins. He lays 23 coins on the ground, forming the vertices of a convex regular 23-gon with side length 2.3 m. He then sets up the coins such that the 1st coin is always moving towards the 3rd coin, the 3rd coin is always moving towards the 5th coin, and so on. (The 23"d coin moves towards the 2nd coin, and the 22nd coin moves towards the 1st coin). After some time, the coins all converge together, completing the coin trick. If the coins all move with constant velocity 0.23 m/s, find how much time it takes for the coins to converge. Answer in s and 3 SF.
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