(a) A physics lab instructor is working on a new demonstration. She attaches two identical metal spheres with mass m = 0.220 g to strings of length L as shown in the figure. Ⓡ Both spheres have the same charge of 6.80 nC, and are in static equilibrium when 8 = 5.40°. What is L (in m)? Assume the strings are massless. 0.4985 Draw a free-body diagram, apply Newton's second law for a particle in equilibrium to one of the spheres. Find an equation for the distance between the two spheres in terms of L and 8, and use this expression in your Coulomb force equation. m (b) What If? The charge on both spheres is increased until each string makes an angle of 8 = 10.8° with the vertical. If both spheres have the same electric charge, what is the charge (in nC) on each sphere in this case? 39.9639 x Use the same reasoning as in part (a), only now, use the length found in part (a) and the new angle to solve for the charge. nC

Principles of Physics: A Calculus-Based Text
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Chapter19: Electric Forces And Electric Fields
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(a) A physics lab instructor is working on a new demonstration. She attaches two identical metal spheres with mass m = 0.220 g to strings of length L as shown in the figure.
A
Ⓡ
Both spheres have the same charge of 6.80 nC, and are in static equilibrium when 0 = 5.40°. What is L (in m)? Assume the strings are massless.
0.4985
X
Draw a free-body diagram, apply Newton's second law for a particle in equilibrium to one of the spheres. Find an equation for the distance between the two spheres in terms of L and 0, and use this expression in your Coulomb force equation. m
(b) What If? The charge on both spheres is increased until each string makes an angle of 0 = 10.8° with the vertical. If both spheres have the same electric charge, what is the charge (in nC) on each sphere in this case?
39.9639
X
Use the same reasoning as in part (a), only now, use the length found in part (a) and the new angle to solve for the charge. nC
Transcribed Image Text:(a) A physics lab instructor is working on a new demonstration. She attaches two identical metal spheres with mass m = 0.220 g to strings of length L as shown in the figure. A Ⓡ Both spheres have the same charge of 6.80 nC, and are in static equilibrium when 0 = 5.40°. What is L (in m)? Assume the strings are massless. 0.4985 X Draw a free-body diagram, apply Newton's second law for a particle in equilibrium to one of the spheres. Find an equation for the distance between the two spheres in terms of L and 0, and use this expression in your Coulomb force equation. m (b) What If? The charge on both spheres is increased until each string makes an angle of 0 = 10.8° with the vertical. If both spheres have the same electric charge, what is the charge (in nC) on each sphere in this case? 39.9639 X Use the same reasoning as in part (a), only now, use the length found in part (a) and the new angle to solve for the charge. nC
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