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A ball of mass m is connected to one end of a rubber band and swung...

A ball of mass m is connected to one end of a rubber band and swung in a circle. The rubber band has spring constant k, and its unstretched length is r0. If it is swung at an angular velocity ω, to what length will it stretch the rubber band?

Please use energy if you can !! I started to try it using spring potential = rotational kinetic and used I = mr^2 for moment of inertia. but if i plug in like (r+x) for the new radius then if you square there will be cross terms. please help

and if you do it through forces, do you plug in r+x for the spring force or the centripetal force ?

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