Determine the maximum speed that can be reached by a 20.11 N (as measured on Earth) steel ball tied to the end

Determine the maximum speed that can be reached by a 20.11 N (as measured on Earth) steel ball tied to the end of a thin thread. The ball, which is essentially weightless, is being whirled in a circle of 4.00 m radius by an astronaut out in space. The thread has a breaking strength of 18.0 N.

3.
180 = mv²/ R = (20.11/9.8) v²/4
v = 18.7 m/s
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