A 3 kg ball is attached to a rope as shown in the figure. The ball moves drawing a perfect circle on a horizontal table with no friction. The rope

is 2.2 m long and has a circular cross section of width 2 mm. The angle between the rope and the horizontal is 0=170. A. Write an equation balancing the vertical forces on the ball. B. Write an equation balancing the horizontal forces on the ball. C. Calculate the radius of the circle the ball describes. D. Calculate the speed of the ball. E. Calculate the tension in the rope. F. Calculate the cross-sectional area of the rope. Give your result in mm2. G. The Young's modulus of the rope is 7x1010 N/m². Calculate how much longer the rope iswith the tension you calculated in part E, than if there were no tension in the rope (howmuch the rope stretched). Give your result in mm.