Explanation The free-body diagram for force on a sphere, Write the expression for Coulomb’s law. F → = k q 1 q 2 r 2 r ^ Here, F is the electrostatic force between the spheres, k is the Coulomb’s constant, q 1 is the charge of sphere 1, q 2 is the charge of sphere 2, r is the distance between the centers of the spheres. The net-force acting on the spheres will be equal to zero because the spheres are at static equilibrium. Write the expression for x-component of net-force acting on the spheres. ∑ F x = 0 F E − F s , max = 0 Here, F E is the electrostatic force on sphere, F s , max is the maximum static frictional force. Re-write the above expression using Coulomb’s law. k q 2 r 2 − μ s F N = 0 (I) Here, k is the Coulomb’s constant, μ s is the coefficient of static friction, F N is the normal force. Write the expression for y-component of net-force acting on the spheres. ∑ F y = 0 F N − F g = 0 Here, F g is gravitational force. Substitute m g for F g to find the y-component of net-force acting on the spheres. F N − m g = 0 Here, m is the mass of the spheres, g is acceleration due to gravity. Re-arrange the expression to find the F N . F N = m g (II) Substitute equation (II) in (I) to find the coefficient of static friction between the sphere and the surface

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Chapter 23, Problem 78PQ

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The coefficient of static friction between the sphere and the surface.

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Chapter 23, Problem 77PQ

Chapter 23, Problem 79PQ

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Ch. 23.2 - Initially a glass rod and a piece of silk are...Ch. 23.3 - a. In Figure 23.8, why are there three plus signs...Ch. 23.3 - When wool is rubbed against amber, the wool...Ch. 23.3 - Prob. 23.4CE Ch. 23.4 - The following scenarios involve a metal ball and a...Ch. 23.4 - Prob. 23.6CE Ch. 23 - What is the difference between a contact force and...Ch. 23 - Many textbooks claim Franklin decided that moving...Ch. 23 - An object has a charge of 35 nC. How many excess...Ch. 23 - As part of a demonstration, a physics professor...

Ch. 23 - A single coulomb represents a large amount of...Ch. 23 - A sphere has a net charge of 8.05 nC, and a...Ch. 23 - A glass rod is initially neutral. After it is...Ch. 23 - After an initially neutral glass rod is rubbed...Ch. 23 - A 50.0-g piece of aluminum has a net charge of...Ch. 23 - Prob. 10PQ Ch. 23 - A silk scarf is rubbed against glass, and a wool...Ch. 23 - CASE STUDY A person in Franklins time may have...Ch. 23 - Prob. 13PQ Ch. 23 - Prob. 14PQ Ch. 23 - A charge of 36.3 nC is transferred to a neutral...Ch. 23 - Prob. 16PQ Ch. 23 - Prob. 17PQ Ch. 23 - An electrophorus is a device developed more than...Ch. 23 - Prob. 19PQ Ch. 23 - An electroscope is a device used to measure the...Ch. 23 - Two particles with charges of +5.50 nC and 8.95 nC...Ch. 23 - Particle A has a charge of 34.5 nC, and particle B...Ch. 23 - Prob. 23PQ Ch. 23 - Prob. 24PQ Ch. 23 - Particle A has charge qA and particle B has charge...Ch. 23 - Two charged particles are placed along the y axis....Ch. 23 - A 1.75-nC charged particle located at the origin...Ch. 23 - A 1.75-nC charged particle located at the origin...Ch. 23 - Two particles with charges q1 and q2 are separated...Ch. 23 - An electron with charge e and mass m moves in a...Ch. 23 - Two electrons in adjacent atomic shells are...Ch. 23 - Two small, identical metal balls with charges 5.0...Ch. 23 - Two identical spheres each have a mass of 5.0 g...Ch. 23 - One end of a light spring with force constant k =...Ch. 23 - Two 25.0-g copper spheres are placed 75.0 cm...Ch. 23 - Three charged particles lie along a single line....Ch. 23 - Given the arrangement of charged particles shown...Ch. 23 - Given the arrangement of charged particles in...Ch. 23 - Given the arrangement of charged particles in...Ch. 23 - Three charged metal spheres are arrayed in the xy...Ch. 23 - Charges A, B, and C are arrayed along the y axis,...Ch. 23 - Three identical conducting spheres are fixed along...Ch. 23 - Charges A, B, and C are arranged in the xy plane...Ch. 23 - Prob. 44PQ Ch. 23 - A particle with charge q is located at the origin,...Ch. 23 - Figure P23.46 shows four identical conducting...Ch. 23 - Prob. 47PQ Ch. 23 - Two metal spheres of identical mass m = 4.00 g are...Ch. 23 - Figure P23.49 shows two identical small, charged...Ch. 23 - Two small spherical conductors are suspended from...Ch. 23 - Four equally charged particles with charge q are...Ch. 23 - Four charged particles q, q, q, and q are Fixed...Ch. 23 - A metal sphere with charge +8.00 nC is attached to...Ch. 23 - Prob. 54PQ Ch. 23 - Three small metallic spheres with identical mass m...Ch. 23 - How does a negatively charged rubber balloon stick...Ch. 23 - How many electrons are in a 1.00-g electrically...Ch. 23 - Prob. 58PQ Ch. 23 - Prob. 59PQ Ch. 23 - Prob. 60PQ Ch. 23 - Three charged particles are arranged in the xy...Ch. 23 - A We saw in Figure 23.16 that a neutral metal can...Ch. 23 - Prob. 63PQ Ch. 23 - A Figure P23.65 shows two identical conducting...Ch. 23 - Two helium-filled, spherical balloons, each with...Ch. 23 - Two small metallic spheres, each with a mass of...Ch. 23 - A Two positively charged spheres with charges 4e...Ch. 23 - Prob. 69PQ Ch. 23 - Three charged spheres are at rest in a plane as...Ch. 23 - Prob. 71PQ Ch. 23 - Three particles with charges of 1.0 C, 1.0 C, and...Ch. 23 - A Two positively charged particles, each with...Ch. 23 - Prob. 74PQ Ch. 23 - Eight small conducting spheres with identical...Ch. 23 - Prob. 76PQ Ch. 23 - Prob. 77PQ Ch. 23 - Prob. 78PQ Ch. 23 - Prob. 79PQ

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