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A light spring has an unstressed length l. It is described by Hooke's law with spring...

A light spring has an unstressed length l. It is described by Hooke's law with spring constant k. One end of the horizontal spring is attached to a vertical axle, and the other end is attached to a puck of mass m that can move without friction over a horizontal surface. The puck is set into uniform circlular motion with period 7.

(i) Firstly, derive the equation for the extension of the spring.

(ii) Thus, determine the mass of the puck beyond which the spring cannot constrain the circular motion.

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