Two small spheres of mass 215g are suspended from strings of length 1.1m that are connected at the same point. One sphere has charge Q=0.8µC , and the other has charge 2Q. In equilibrium the strings make angles 01 and 02 with vertical. Assume that 01 and 02 are small. Find the equilibrium distance r between the spheres. State your answers to nearest 0.01 cm. Take k=8.99x10° Nm²/C² and g=9.8m/s2

Two small spheres of mass 215g are suspended from strings of length 1.1m that are connected at the same point. One sphere has charge Q=0.8µC , and the other has charge 2Q. In equilibrium the strings make angles 01 and 02 with vertical. Assume that 01 and 02 are small. Find the equilibrium distance r between the spheres. State your answers to nearest 0.01 cm. Take k=8.99x10° Nm²/C² and g=9.8m/s2

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter23: Electric Forces

Section: Chapter Questions

Problem 55PQ: Three small metallic spheres with identical mass m and identical charge +q are suspended by light...

See similar textbooks

Similar questions

Two particles with charges q1 and q2 are separated by a distance d, and each exerts an electric force on the other with magnitude FE. a. In terms of these quantities, what separation distance would cause the magnitude of the electric force to be halved? b. In terms of these quantities, what separation distance would cause the magnitude of the electric force to be doubled?
Three small metallic spheres with identical mass m and identical charge +q are suspended by light strings from the same point (Fig. P23.55). The left-hand and right-hand strings have length L and make an angle with the vertical. What is the value of q in terms of k, g, m, L, and ? Figure P23.55
Panicle A of charge 3.00 104 C is at the origin, particle B of charge 6.00 104 C is at (4.00 m, 0), and panicle C of charge 1.00 104 C is at (0, 3.00 m). (a) What is the x-component of the electric force exerted by A on C? (b) What is the y-component of the force exerted by A on C? (c) Find the magnitude of the force exerted by B on C. (d) Calculate the x-component of the force exerted by B on C. (e) Calculate the y-component of the force exerted by B on C. (f) Sum the two x-components to obtain the resultant x-component of the electric force acting on C. (g) Repeat part (f) for the y-component. (h) Find the magnitude and direction of the resultant electric force acting on C.
A circular ring of charge of radius b has a total charge q uniformly distributed around it. Find the magnitude of the electric field in the center of the ring. (a) 0 (b) keq/b2 (c) keq2/b2 (d) keq2/b (e) None of these answers is correct.
Is it possible for a conducting sphere of radius 0.10 m to hold a charge of 4.0 C in air? The minimum field required to break down air and turn it into a conductor is 3.0 106 N/C.
Charges A, B, and C are arranged in the xy plane with qA = 5.60 C, qB = 4.00 C, and qC = 2.30 /C (Fig. P23.43). What are the magnitude and direction of the electrostatic force on charge B? Figure P23.43
A point charge of 4.00 nC is located at (0, 1.00) m. What is the x component of the electric field due to the point charge at (4.00, 2.00) m? (a) 1.15 N/C (b) 0.864 N/C (c) 1.44 N/C (d) 1.15 N/C (e) 0.864 N/C
Four charged particles q, q, q, and q are Fixed at the comers of a square with side length L as shown in Figure P23.52. If another charged particle of magnitude Q is placed at the center of the square, will it be in static equilibrium? Does the sign of the charge Q matter? Explain.
Panicle A of charge 3.00 104 C is at the origin, particle B of charge 6.00 104 C is at (4.00 m, 0), and panicle C of charge 1.00 104 C is at (0, 3.00 m). (a) What is the x-component of the electric force exerted by A on C? (b) What is the y-component of the force exerted by A on C? (c) Find the magnitude of the force exerted by B on C. (d) Calculate the x-component of the force exerted by B on C. (e) Calculate the y-component of the force exerted by B on C. (f) Sum the two x-components to obtain the resultant x-component of the electric force acting on C. (g) Repeat part (f) for the y-component. (h) Find the magnitude and direction of the resultant electric force acting on C.
A block with a mass of 10.6 g and a charge of +8.70 × 10-5 C is placed in an electric field with x component Ex = 3.69 × 103 N/C, y component Ey = -747 N/C, and z component Ez = 0. (a) What is the magnitude of the electrostatic force on the block and (b) what angle does that force make with the positive x direction? If the block is released from rest at the origin at time t = 0, what are its (c) x and (d) y coordinates at t = 2.97 s?
Two small metallic spheres, each of mass m = 0.35 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 theta = 8.00 with the vertical. If each string has length L = 38.0 cm, what is the magnitude of the charge on each sphere?
Two small metallic spheres, each of mass m = 0.40 g, are suspended as pendulums by light strings from a common point . 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 ? = 5.6° with the vertical. If each string has length L = 33.0 cm, what is the magnitude of the charge on each sphere?