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A string under a tension of 58.5 N is used to whirl a rock in a horizontal circle of radius 2.75 m at a speed of 20.5 m/s on a frictionless surface as shown in the figure below. As the string is pulled in, the speed of the rock increases. When the string is 1.00 m long and the speed of the rock is 51.5 m/s, the string breaks. What is the breaking strength, in newtons, of the string?

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