6. Two identical spheres with mass m are hung from silk threads of length L as shown in Fig. Each sphere has the same charge q1=92=9. L mass m charge q1 L mass m charge 92 The radius of each sphere is very small compared to the distance between the spheres, so they may be treated as point charges. Show that if the angle is small, the equilibrium separation between the spheres is d = -L) ³ \2π€omg

6. Two identical spheres with mass m are hung from silk threads of length L as shown in Fig. Each sphere has the same charge q1=92=9. L mass m charge q1 L mass m charge 92 The radius of each sphere is very small compared to the distance between the spheres, so they may be treated as point charges. Show that if the angle is small, the equilibrium separation between the spheres is d = -L) ³ \2π€omg

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

Two metal spheres, each of radius 4.2 cm, have a center-to-center separation of 1.9 m. Sphere 1 has a charge of + 1.5 x 10° C; sphere 2 has a charge of - 3.4 x 108 C. Assume that the separation is large enough for us to assume that the charge on each sphere is uniformly distributed (the spheres do not affect each other). With V= 0 at infinity, calculate in volts (a) the potential at the point halfway between their centers and the potential on the surface of (b) sphere 1 and (c) sphere 2. (a) Number i Units (b) Number i Units (c) Number i Units
You hold a ruler that has a charge on its tip 4 cm above a small piece of tissue paper to see if it can be picked up. The ruler has −12 µC of charge. The tissue has 1 g of mass. What is the minimum charge required to pick up the tissue paper?
You can give a rubber rod a negative charge by rubbing the rod with wool. What happens to the charge of the wool? The wool becomes neutrally charged because it gives up electrons to the rubber rod. The wool becomes negatively charged because it gives up electrons to the rubber rod. The wool becomes positively charged because it gives up electrons to the rubber rod.
Two positive charges are 2 cm apart. One has a charge of 10 µC the other 4 µC. What is the magnitude of the force on each of them from the other? The coulomb constant is 9 x 10° kgm3/s²c2. 900 N 150 N 18 N 80 N
Two point charges are 4 cm apart. They are moved to a new separation of 2 cm. By what factor does the resulting mutual force between them change? A 1/2 В 2 c) 1/4 2
In the figure, all the charges are point charges and the charge in the middle is Q=-3.1 nC. For what charge q1 will charge q2 be in static equilibrium? 10 cm 10 cm O 12 nC O 3.1 nC O none of the given choices O 25 nC O 6.2 nC
Three charges are situated at corners of a rectangle as in the figure below. How much energy would be expended in moving the 8.0 µC charge to infinity?
You have two point charges of the same sign and of magnitudes q1+ =q2+ =18nC If the charges are separated 9√3cm What would be the magnitude of the force on a charge q3+ =3nC situada to 9cm of each of the other charges?
Suppose Earth and the Moon each carried a net negative charge −Q. Approximate both bodies as point asses and point charges.(a) What value of Q is required to balance the gravitational attraction between Earth and the Moon?(b) Does the distance between Earth and the Moon affect your answer? Explain.(c) How many electrons would be needed to produce this charge?
A small metal sphere, carrying a net charge of qt= +7.5 mC, is held in a stationary position by insulating supports. A second small metal sphere, with net charge of 2' +3 mC and mass 2 g is projected toward q . When two spheres are 0.8 m apart, sa is moving toward qt with speed 22.0 mls, see Figure. Assume that the two spheres can be treated as point charges. Neglect the force of gravity. a) What is the speed ofqt when the spheres are 0.5 m apart† How close can q2 approach to q1 ?
Jwo metal spheres, each of radius 4.2 cm, have a center-to-center separation of 1.9 m. Sphere 1 has a charge of + 1.5 x 10 C; sphere 2 has a charge of - 3.4 x 10 C. Assume that the separation is large enough for us to assume that the charge on each sphere is uniformly distributed (the spheres do not affect each other). With V = 0 at infinity, calçulate in volts (a) the potential at the point halfway between their centers and the potential on the surface of (b) sphere 1 and (c) sphere 2. (a) Number i Units (b) Number i Units (c) Number i Units
Two point charges are placed on the x axis as shown in (Figure 1). The first charge, q1q1q_1 = 8.00 nCnC , is placed a distance 16.0 mm from the origin along the positive x axis; the second charge, q2q2q_2 = 6.00 nCnC , is placed a distance 9.00 mm from the origin along the negative x axis. Figure 1 of 2Two charges, labeled q 1 and q 2, are shown on the xy-plane. Point O is at the origin. Charge q 1, which is equal to 8 nanocoulombs, lies on the positive x-axis at distance 16 meters from the origin. Charge q 2, which is equal to 6 nanocoulombs, lies on the negative x-axis at distance 9 meters from the origin. 1.Find the x-component of the electric field at the origin, point O. Express your answer in newtons per coulomb to three significant figures, keeping in mind that an x component that points to the right is positive. 2. Now, assume that charge q2q2 is negative; q2=−6nCq2=−6nC, as shown in (Figure 2). What is the x-component of the net electric field at the origin,…