Let's assume your lab balloons, when filled with air, each had a mass of 3.00 grams. In a variation of your lab activity, you attach one of these balloons to a string such that the distance from the end of the string to the center of the balloon is 1.30 meters. Then, you rub the balloon with rabbit fur until the balloon gains 885 trillion electrons. Now, you introduce a tiny charged object close to the balloon, as shown in the figure to the left, which causes the balloon to hang at an angle of 0 = 18.0 to the vertical. 3. By Fy, determine the tension in the string. You must show all of your work! Use 3 sig figs in your answer. (5 pts) 4. Let's say that the center to center distance between the balloon and the tiny charged object is 0.660m. By Fx, determine the charge on the tiny charged object. You must show all of your work! Use 3 sig figs in your answer. (5 pts) 5. The tiny charged object is now removed from the vicinity of the balloon such that it no longer has any effect on the balloon. What is the magnitude of the electric field at the location where the tiny charged object used to be (call this location point P)? You must show all work! Use 3 sig figs in your answer. Hint: You should treat the balloon as a point charge now. Another hint: What will happen to the position of the balloon when the tiny charged object is no longer near it?? (5 pts) 6. Now, remove the balloon from the picture, and bring back the tiny charged object. Let's say a single, free proton is released a distance of 3.50m from the tiny charged object. Disregarding air resistance or gravitational forces, what would the initial acceleration of the proton be? You must show all work! Give your answer to 3 sig figs. (4 pts) Also, explain if and why that acceleration would or would not change. (1 pt)