A mass m = 2 kilograms is attached to the end of a rope of length r = 3 meters. The mass is whirled around at high speed. The rope can withstand a maximum tension of T = 60 Newtons. Write a program that accepts a rotation speed v and determines whether such a speed will cause the rope to break. Hint: T = mv² ⁄ r. A mass m is attached to the end of a rope of length r = 3 meters. The rope can only be whirled around at speeds of 1, 10, 20, or 40 meters per second. The rope can withstand a maximum tension of T = 60 Newtons. Write a program where the user enters the value of the mass m, and the program determines the greatest speed at which it can be whirled without breaking the rope. Hint: T = mv² ⁄ r.