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A puck is moving in a circle in a circle...

A puck is moving in a circle in a circle of radius `r_(0)` with a constant speed `v_(0)` on a level frictionless table. A string is attached to the punk, which holds it in the circle, the string passes through a frictionless hole and is attached on the other end to a hanging object of mass M. The puck is mow made to move with a speed `v' = 3v_(0)`, but still in circle. The mass of the hanging object is left unchanged. The acceleration a' of the punk and the radius r' of the circle are now given by

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