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Before proceeding with the video analysis, you will need to determine how the force the prod exerts on the hanging ball (the Coulomb force, F.) depends on 10 REALTIME PHYSICS: ELECTRICITY AND MAGNETISM the position of the hanging ball. This will allow you to calculate the values of the Coulomb force using the data from your video analysis. The situation is shown in the diagram below.ou ysis in the diagram below. Draw a vector diagram with arrows showing the direction of each of the forces on the charged hanging ball with charge qı and mass m, including the grav- itational force, Fg the tension in the thread, Fr, and a horizontal electrostatic force, Fe due to the charge on the prod. 1. 9192 Hanging Ball rProd Xbal2. Show that, if there is no motion in the vertical direction, then ma and, therefore, F,- where ag is the gravitational acceleration.3. Show that, if there is no motion along the horizontal direction, then4. Show that Fe mag tan6.5. Find tan6 as a function of xball and L. Hint: Start by finding y as a function of xbal and L, in the diagram below. 91 YialCombine the equations you found in (4) and (5) to find the magnitude of the electrostatic force, Fe, as a function of L, Xball, m, and ag 6.Finally, use the assumption that θ is a small angle (that is, the displacement of the charged ball, xbaln, is small compared to the length, L, of the thread from which it is suspended) to simplify your equation. 7. Now, you can turn to the task of measuring how the charged ball moves as a func- tion of its horizontal distance from the prod, r. Then, using the equation you just obtained, you can analyze the video data to determine Fe as a function of r. You will need the following: . Re Time Phi lectricity md Magecism experiment configurationfiles computer-based video analysis softwareSorry this question has so many steps--Thank you in advance for the extra effort:)

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Le 2 cosD b cl ng5 L Sine b- no t L 9in0 9 a mo

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