Physics Circular Motion Level: Misc Level

A certain string breaks when it is subjected to 400 N of tension. A boy uses this string to whirl a 5.0-kg stone in a horizontal circle of radius 5.0 m. The boy continuously increases the speed of the stone.At approximately what speed will the string break?(Multiple Choice answer below, but of course, we have to show work)

(a) 10. m/s, (b) 20.m/s, (c) 80. m/s(d)100 m/s (1.0 x102 m/s), or (e)400 m/s (4.0 xlo2 m/s) What is the rotation rate (revolutions per minute (rpm)) of the stone just before the string breaks?

(f) 0.050 rpm, (g)0.64 rpm, (h) 1.6 rpm, (i) 38 rpm,or (j) 60 rpm