Two point charges of unknown mass, one of charge Q1=10.0 nC (gold color in the diagram) and one of charge Q2=15.0 nC (purple in the diagram), hang from two strings as shown in the figure (strings match the color of their hanging charge). The length of the left (gold) string is L1=1.74 m and the length of the right (purple) string is L2=2.00 m. String L1 makes an angle of 0₁= 20.0⁰ with the vertical (angle shown in gold on the diagram). String L2 makes an angle of 82= 35.0° with the vertical (angle shown in purple on the diagram). The entire region is exposed to a horizontally-pointing Electric Field, E, shown in light blue on the diagram, whose magnitude is 1.00e+03 N/C. The charges hang at exactly the same height. l₂ 9₂ M₂ E On the pages you intend to submit for your work for this problem, draw a Free Body Diagram for the charge on the right (The purple charge: Q2). Use a straight-edge and be NEAT. (HINT: There should be TWO electric forces on this charge. One of these forces is due to the other charge (Q1) to the left of this charge. The other electric force is due to the E-Field. You can identify those TWO forces as Fo1 and FE on the FBD. Be sure to identify the tension force (T) and mg as well. You need not include the gravitational attraction between the masses as they will be insignificant. Finally, show on the diagram where 82 ends up with respect to the tension force (T) and break that tension force into components in the diagram. Only the tension force should need to be broken into components.) Also on those work pages, use your Free Body Diagram and apply Newton's 2nd Law (EF=ma) to both the x and the y direction (recognizing that the charges are in equilibrium)- so that there is no acceleration to generate two equations. To answer questions (D) and (E) below, you will need to solve that system of two equations for the two unknowns (those unknowns being the mass, M2, and the tension, T, on the string L2). (A)What is the distance, in meters, between the two charges "Q1" and "Q2" (HINT: This is just a geometry problem. No physics is necessary.)? O0.828 1.80 00.215 00.552 01.16 00.480 x (B)What is the magnitude of the force on Q2 caused by the repulsion of Q1 (identified as FQ1 in the Free Body Diagram) in μN (that is microNewtons)? 03.85 014.4 09.35 01.73 06.64 04.43 (C)What is the magnitude of the force on Q2 caused by the Electric Field (identified as FE in the FBD) in μN (that is microNewtons)? (HINT: Remember, there is a simple formula for finding the force on a charge in an electric field) O13.1 O22.5 O5.85 048.9 031.7 15.0