(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

(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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Please Asap
▼ Part A A charge 5.01 nC is placed at the origin of an xy-coordinate system, and a charge -2.00 nC is placed on the positive x-axis at x = 3.96 cm . A third particle, of charge 6.02 nC is now placed at the point x = 3.96 cm , y = 2.96 cm . Find the x-component of the total force exerted on the third charge by the other two. Express your answer in newtons. ΗV ΑΣφ ? Fa = N %3D Submit Request Answer Part B Find the y-component of the total force exerted on the third charge by the other two. Express your answer in newtons. ? Fy = N
Two small identical conducting spheres are placed with their centers 0.22 m apart. One is given a charge of 12 x 10-9 c, the other a charge of -22 x 10-9 c. (a) Find the electrostatic force exerted on one sphere by the other. N (b) The spheres are connected by a conducting wire. Find the electrostatic force between the two after equilibrium is reached. N
20. I| What is the force F on the 1.0 nC charge in FIGURE EX22.20? Give your answer as a magnitude and a direction. 1.0 nC 1.0 cm, 1.0 cm 60° 60% 1.0 cm 2.0 nC -2.0 nC FIGURE EX22.20
Consider the point charges shown below. What will be the magnitude and direction of the force on the 1.0µC charge if the -2.0µC and -3.0µC charges are held in place? -2.0 με 16.0 cm (+ 12.0 cm 1.0 μC -3.0 µC Part A The magnitude of the force on the 1.0uC will be: nνα ΑΣφ F = N Submit Request Answer Part B The point charge will experience the force at an angle of: Πνα ΑΣφ ?
Two small plastic balls hang from threads of negligible mass. Each ball has a mass of 0.250 gg and a charge of magnitude qqq. The balls are attracted to each other, and the threads attached to the balls make an angle of 20.0 ∘∘ with the vertical, as shown in the figure. 1. Find the magnitude of the electric force acting on each ball. 2. Find the tension in each of the threads. 3. Find the magnitude of the charge on the balls.
If this charge is replaced with a -2.7μC charge, what is the magnitude of the force will it experience? Express your answer using two significant figures. |F| = Submit Part B 15. ΑΣΦ VO Request Answer Find the direction of the force in this case. Submit O in the positive y direction in the negative y direction O in the negative a direction O in the positive a direction Request Answer ? N
Two small metallic spheres, each of mass m = 0.30 g, are suspended as pendulums by light strings from a common point as shown in the figure below. The spheres are given the same electric charge, and it is found that they come to equilibrium when each string is at an angle of 0 = 8.2° with the vertical. If each string has length L = 40.0 cm, what is the magnitude of the charge on each sphere? L m nC
Three positive point charges (A, B, and C) lie along the same line and are separated by a distance d, as shown. The symbol q represents a magnitude of electric charge. Let d= 0.165 m. If q = 0.961 μC what is magnitude of the total electric force on charge A
A conducting massive sphere of radius a is surrounded by a thin conducting spherical shell of radius b as shown in the figure. The sphere (a) is grounded and the outer shell is charged with electric charge Q b a Find the electrostatic energy stored in the system (in SI units). Select one: Q² a. U ○ b. U = ○ C. U = ○ d. U = ○ e. U = ○ f. 8πEO U = Q2 8πε Q2 8πεο Q² όπερα Q² σπερ b- a ab b a +a a3 a Q² b-a 8πTEO b2 ×
Two small metallic spheres, each of mass m = 0.15 g, are suspended as pendulums by light strings from a common point as shown in the figure below. The spheres are given the same electric charge, and it is found that they come to equilibrium when each string is at an angle of 0 = 4.8° with the vertical. If each string has length L = 40.0 cm, what is the magnitude of the charge on each sphere? L m Your response differs from the correct answer by more than 10%. Double check your calculations. nC
A spherical metallic object with a hole inside initially holds a net charge of g = 2.50 nC. Then a particle with a charge of g = -4.75 nC is placed at the center of the hole (beld by a perfect non-polarizable insulating material). The value of the net charge q2 on the outer surface of the conductor, upon reaching electrostatic equilibrium, is most nearly A. -7.25 C. B. 7.25 nC. C.-4.75 nC. D. -2.25 nC. E. 2.25 nC.