What is the angle 0? E Which one of the following statements is true concerning the electrostatic charge on a conductor? . A 32 N/m, If a person goes to the bottom of a deep mine shaft on a planet of uniform density, which of the following is true? 0 is called the permittivity constant 3 When several points charges are present, the total . mvo/M A Gaussian surface of radius r with r < R is used to calculate the magnitude of the electric field E at a distance r from the center of the sphere. They are shot into a region that contains a uniform electric field as shown. For small angles Tane-Sine-. Which of the following statements about the block is correct? The strings make an angle of 30 with each other. According to Coulombs law, these two like 0000004648 00000 n A block of mass of M 2 is attached to the free end of the rope. Two identical massless springs are hung from a horizontal support. The block is hung from the same two springs, but the springs are connected in series rather than in parallel. East Miami Residences, They are given an identical charge and spread apart to a distance 4 cm from each other. C A C Point P is equidistant from the charges. lower frequency of oscillation A directly propotional to r E Two identical charged spheres of mass 0 10 g are hung from the same point by silk threads. D The spring has a spring constant k, and there is negligible friction between the block and inclined plane. Two identical charged spheres suspended from a common point by two massless strings of length l are initially a distance d (d << l) apart because of their mutual repulsion. The block oscillates along the x axis with simple harmonic motion of amplitude A. The magnitude of the force exerted by each string on the object is 10sqrt(2)N. Find the magnitude of the mass of the object. x = 24 m One is charged with excess electrons, and the other is neutral. Which of the following statements about energy is correct? The charges begin to leak from both the spheres at a constant rate. B A negative charge -2Q is placed at such a point as to produce a net field of zero at point P. The second charge will be placed on the (2)1/2 cm 0.5 s Two identical charged spheres suspended in air by strings of equal lengths makes angle 30 degree, which is same when they are suspended in liquid with density 0.8 g/cc. ve/2 An electron traveling horizontally enters a region where a uniform electric field is directed upward. help of an insulated thread. Sketch the new positions of the spheres. As a result, the spheres approach each other with a velocity v. The dielectric constant of the liquid is (given the density of the metal sphere is .8g/cc) The interaction energy between two experiment charge e hard spheres is therefore (Fig. The negative ends of the capacitors are connected. The rod experiences a, net force to the left and a counterclockwise rotation, A charge +Q is uniformly distributed throughout a nonconducting spherical shell of inner radius R1 and outer radius R2, as shown above. David Halliday, Jearl Walker, Robert Resnick. LB=LA and KB=KA E When the displacement of the block is half the maximum value, its Instantaneous kinetic energy is, The radius of the Earth is approximately 6,000 kilometers. Publishing Support. Determine an expression for the magnitude and sign of Q so that the net force on the charge at A is zero newtons. Q.8. E is a unit vector that points from object 1 toward object 2. larger amplitude of oscillation E As a result the charges approach each other with a velocity v . D B 9. You're making this way harder than it needs to be. If . (b)Next, the spheres are connected by a conducting wire. Rotational Speed: Decreases The astronaut's mass on the Moon is most nearly. shorter period of oscillation Give the BNAT exam to get a 100% scholarship for BYJUS courses, Two small equally charged spheres, each of mass mm, are suspended from the same point by silk threads of length l. The distance between the spheres x << l. 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The time it takes for the moon to orbit Jupiter 3/5, What happens to the rotational speed of the turntable and the angular momentum of the clay turntable system about the axis as a result of the collision? At which point (or points) is the electric field zero N/C for the two point charges shown on the x axis? What are the final charges on the spheres? A B C A D bob were replaced by a 0.25 kg brass sphere, string were replaced by one about 0.25 meter long, The figure above represents satellites S2 and S3 of equal mass orbiting Earth in circles of radii 2Re, and 3Re respectively, where Re is the radius of Earth. C v is the 1 hangs vertically from a rigid support as shown below. A square piece of plywood on a horizontal tabletop is subjected to the two horizontal forces shown above right. Zhou, S. Density functional analysis of like-charged attraction between two similarly charged cylinder polyelectrolytes. The equation of motion of a simple harmonic oscillator is d2x/dt2 = - 9x, where x is displacement and t is time. Which one of the following figures shows a qualitatively accurate sketch of the electric field lines in and around this system? 1 and 2 only F1 =8 F2 The spring constant of the two springs are $ {{k}_{1}} $ and $ {{k}_{2}} $ respectively. These college confessions are beyond our imagination. Two uncharged, conducting spheres, A and B, are held at rest on insulating stands and are in contact. D F1 = F2 Two identical charged spheres suspended form a common point by two massless strings of lengths l, are initially at a distance d(d gt gt l) apart because of their mutual repulsion. The balls repel each other so that the separation between their centers is 6.4 cm. E Each string makes an angle theta with the vertical. 6 (3.14) s E The charges begin to leak from both the spheres at a constant rate. C D (6GM/(R))1/2 There will be two equation formed accordingly for the two medium. Show the variations for dual dimensioning by means of the bracket method. Which of the following graphs shows the kinetic energy K of the particle as a function of its displacement x ? The charges begin to leak from both the spheres ata constant rate. If the electric field points in the negative y direction, what will be the resulting paths for these particles? When the block is in equilibrium, each spring is stretched an additional 0.15 meter. A solid nonconducting sphere of radius R has a charge Q uniformly distributed throughout its volume. LB>LA and KB>KA The period of vertical oscillations of the system will be As they are identical spheres, they have the same capacitance. When the moon is at point A, its distance from the center of the planet is rA and its speed is vo . A 0.5 kilogram mass is attached to the block. (Right) The solid line represents the total potential energy on the vertical axis as a Two balls of same mass and carrying equal charge are hung from a fixed support of length l. At electrostatic equilibrium, assuming that angles made by each thread is small, the separation, x between the balls is proportional [Online April 9, 20131 to : (b) 12 (c) 12/3 (d) 11/3 Two identical charged spheres suspended from a common Two positively charged spheres of masses m1 and m2 are suspended from a common point at the ceiling by identical insulating massless. At which of the following times is the upward velocity of the object the greatest?
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