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A puck of mass m on a horizontal, frictionless table is connected to a string that...

A puck of mass m on a horizontal, frictionless table is connected to a string that passes through a small hole in the table. The puck is set into circular motion of radius R, at which time its speed is vi. If the string is pulled from the bottom so that the radius of the circular path is decreased to r, what is the expression for the final speed vf of the puck?

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