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An object of mass m1 initially hangs from a rod of length L and negligible mass that can pivot freely in the vertical plane, as shown in the figure above. A projectile of mass m2 is moving to the right at speed v when it strikes the hanging object and then drops straight down. The hanging object then swings upward and comes to rest at the top of a half circle as shown. What is the initial speed of the projectile v?

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