Task 2: Two identical spheres of mass m hanging from threads of length L repel each...

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Task 2: Two identical spheres of mass m hanging from threads of length L repel each other after being given identical charges of q, as shown in Figure 2. m L 0 : 0 L m Figure 2 (a) Draw a free-body diagram for the charge on the right. Include an appropriate coordinate system with the x and y directions explicitly drawn. (b) Without assuming specific values for any variables, derive the following model: the electrostatic force F on a charge is given by F= w tan 0, where w = mg. Hints: What kind of equilibrium is the charge in? How do you use Newton's laws to write out F, and F,? (c) Use Coulomb's law and your result in part (b) to derive the following model: 4L we 9= K (Note: qxq = q, not 2q. And for small angles, sin 0 tan 0 0.) Task 2: Two identical spheres of mass m hanging from threads of length L repel each other after being given identical charges of q, as shown in Figure 2. m L 0 : 0 L m Figure 2 (a) Draw a free-body diagram for the charge on the right. Include an appropriate coordinate system with the x and y directions explicitly drawn. (b) Without assuming specific values for any variables, derive the following model: the electrostatic force F on a charge is given by F= w tan 0, where w = mg. Hints: What kind of equilibrium is the charge in? How do you use Newton's laws to write out F, and F,? (c) Use Coulomb's law and your result in part (b) to derive the following model: 4L we 9= K (Note: qxq = q, not 2q. And for small angles, sin 0 tan 0 0.)