A string under a tension of 72 N is used to whirl a rock in a horizontal circle of radius 1.6 m at a speed of 29.64 m/s. The string is pulled in, and the speed of the rock increases. When the string is 1.16 m long and the speed of the rock is 49.9 m/s, the string breaks. What is the breaking strength of the string? Answer in units of N.