1/2 (M+m)vo2, What is the direction of the electrostatic force on +q due to +Q and -Q, Which of the following Gaussian surfaces would be the simplest to use to determine the electric field intensity near a long straight charged wire? An insulated nonconducting sphere of radius R has a charge Q uniformly distributed throughout its volume. No net charge, but the sphere is polarized with negative charge on the left side Four point charges, each of the same magnitude, with varying signs are arranged at the corners of a square as shown. Angular Momentum: Stays the same D Q. (No pinned down pivot point!) angular momentum: Greater for S3, Kinetic energy: Less for S3 Two identical charged spheres are suspended by strings of equal length. D x = 16m Mechanical energy of the ball-Earth system There is no friction exerted on it Two identical charged spheres suspended from a common point by two massless strings of lengths l are initially at a distance d (d less than l) apart because of their mutual repulsion. A Two identical pith balls are charged by rubbing against each other. Positive (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. expressed in metre. 6 m/s2, A block of mass m on a horizontal surface is attached to one end of a horizontal spring. (a) Explain in detail why both these swings happen. Take a glass rod and rub it with a silk cloth to induce charge on the rod. C Point S is a distance x from the center of the sheet, and point T is a distance 4x from the center of the sheet. (mgsin(angle)/k)1/2 E Which of the following statements about the block is correct? Let L be the angular momentum and K the kinetic energy of the satellite. Kinetics of Rigid Bodies where IR is the moment of inertia tensor of the rod relative to the center of mass and FR is the angular velocity of the rod in reference frame F. Now since the {er,e,Ez} is a principle-axis basis, we have that IR = I rrer er + Ie e + IzzEz Ez (5.58) Furthermore, using the expression for FR as given in Eq. 3 C. 2 D. 1 A third charge q of mass m placed at the mid-point is displaced slightly by x (x << d) perpendicular to the line . 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. C Which of the five arrows shown below most accurately shows the direction of the net force on the charge -Q due to the presence of the three other charges? What distance d does the block slide down the plane before coming momentarily to rest? B Classify each of the following substances as a nonelectrolyte, weak electrolyte, or strong electrolyte in water: A simple pendulum of length L has a period T. What is the length of another simple pendulum of period 2T, assuming that both pendulums swing with small amplitude? Then Two identical small metal coated spheres R and S are given identical charges of 40nC each. At x = A, its acceleration is zero. D Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d (dl) apart because of their mutual repulsion. The period of vertical oscillations of the system will be As they are identical spheres, they have the same capacitance. Can I give you a word of advice? E A square piece of plywood on a horizontal tabletop is subjected to the two horizontal forces shown above right. This sphere is fixed in space and is not free to move. The strings make an angle of 30 with each other. C Which of the vectors shown represents the direction of the net force acting on the charge at the upper left hand corner of the square due to the other charges? Two metallic spheres each of mass M are suspended by two strings each of length L. the distance One end of a uniform rod of mass m and cross-sectional area A is suspended from a rigid support and In figure, two equal positive point charges q1 = q2 = 2.0C interact with a third . D C Quantities that are conserved for the student-platform system as the student jumps include which of the following? II. At equilibrium, the angle between the strings is \(a\). The dielectric constant of the liquid is (given the density of the metal sphere is .8g/cc) One half is given a charge q uniformly distributed along its arc. no net charge, but the sphere is polarized with positive charge on the left side y = 5 sin (3t) While a negatively charged rod is held near, but not touching sphere A, someone moves ball B away from A. (b) The sphere is grounded, allowing electrons to be attracted from the earth's ample supply. E/4, A particle moves along the x axis with a nonconstant acceleration described by a = 12t, where a is in meters per second squared and t is in seconds. B x = 12 m. Four point charges of equal magnitude but different signs are arranged on the corners of a square. Two fixed charges A and B of 5muC each are seperated by a distance of 6m. When suspended in a liquid of density 0.8gcm -3, the angle remains the same. (a) Explain in detail why both these swings happen. E V1 = Q . E (a) Explain in detail why both these swings happen. C ET/16 Consider Earth to be stationary, and the moon as orbiting Earth in a circle of radius R. If the masses of Earth and the Moon are ME and Mm, respectively, which of the following best represents the total mechanical energy of the Earth-Moon system? E A Problem: Two identical metal spheres A and B are on their insulator mountings, both initially neutral. 600 kg When suspended in a liquid of d. When the spacecraft is at position P shown, a short burst of the ship's engines results in a small increase in its speed. 0000012268 00000 n 14. D At the surface of the sphere, the electric field strength is E. If a second sphere of radius 2R was created of the same material and with the same charge density, what would be the strength of the electric field at the surface of the second sphere? C) The paper becomes electrically polarized by induction. Both are given identical charges, and the . The charges begin to leak from both the spheres at a constant rate. A sphere with the wire through its center Sphere Y is then brought close to X on the side opposite to the rubber rod. k/2, A 5 kg object suspended on a spring oscillates such that its position x as a function of time is given by x=0.8 m cos(2t). 14. Each plate carries a charge of magnitude $1000 \mu \mathrm{C}$. A particle with charge $-3.00 \mu \mathrm{C}$ and mass $2.00 \times 10^{-16} \mathrm{~kg}$ is fired from the positive plate toward the negative plate with an initial speed of $2.00 \times 10^{6} \mathrm{~m} / \mathrm{s}$. A Is it possible to choose the value of Q (that is non-zero) such that the force on Q is zero? If there is no change in the charge distributions, what is the direction of the net electrostatic force on an electron located at the center of the circle? The spheres repel each other after being charged to +91 nC and hang at rest as shown. C The acceleration of an astronaut in a perfectly circular orbit 300 kilometers above the Earth would be most nearly, A solid sphere rolls down an incline of height 3 m after starting from rest. amplitude of the motion were increased A A D LB=LA and KB>KA, A block of mass m is attached to a spring and placed on an inclined plane. angular momentum: Greater for S3 E) There is no excess or deficiency of electrons. Spheres A and B are touched together and then separated. Each of these forces will have components parallel to and perpendicular to the strings. A negatively charged rubber rod is brought close to, but does not make contact with, sphere X. 0000009092 00000 n Two identical pith balls each weigh 30 mg are hung from the same point of rigid support by 2 threads each of point 1 m. When equal amount of identical charges are Calculate the charge on either ball. E 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 physics. A The pendulum would have a period of 1.0 second if the At equilibrium both strings make the same angle with the vertical. There are no torques exerted on it, A conducting spherical shell S has a charge Q distributed over its surface. D , , , , , the sedimentation velocity of charged porous spheres in a given electrolyte solution can be calculated to the order of Q 2. A A Spring 1 indicated by the dashed line is linear but spring 2 is not. C A particle of mass m moves along a straight path with a speed v defined by the function v = bt2 + c, where b and c are constants and t is time. In moving from a distance R1 to a distance R2 from the center of the Earth of mass Me, the increase in kinetic energy of the spaceship, where G Is the universal gravitational constant, is, A positive charge +Q located at the origin produces an electric field E0 at point P (x=+1, y=0). The charges brgin to leak from both the spheres at a constant rate. None, Two identical conducting spheres are charged to +2Q and Q. apart because of their mutual repulsion. C The period of oscillation for a mass attached to spring 2 is, dependent on amplitude but never greater than for spring 1. 0000013319 00000 n A negatively charged rod is then held close to the left of A. How do the kinetic energy and the angular momentum of S3 compare with those of S2? The average distance between the moon and Jupiter These college confessions are beyond our imagination. 3 s, The Planet X has a mass M, radius R, and no atmosphere. 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? 4E Weve got your back. 0000004250 00000 n 0000002579 00000 n If the density of the material of the sphere is 1.6 g c m 3, the dielectric constant of the liquid is: A. trailer << /Size 438 /Info 391 0 R /Root 406 0 R /Prev 424702 /ID[<552265619177062a546f44ebb81a717e><552265619177062a546f44ebb81a717e>] >> startxref 0 %%EOF 406 0 obj << /Type /Catalog /Pages 390 0 R >> endobj 436 0 obj << /S 1678 /Filter /FlateDecode /Length 437 0 R >> stream My first thought upon reading your suggestion starts with taking, 2021 Physics Forums, All Rights Reserved, Which I know is wrong because, in that case, the, Angle between 2 charged spheres hanging from string. An electric dipole is released from rest in a uniform electric field with the orientation shown. Which of the following describes the resulting charge on the sphere? long, solid rod E) Sphere A: + Sphere B: - Each of three objects has a net charge. Y is allowed to touch X and then is removed some distance away. 20 N/m Q13 Two identical metal spheres are suspended from insulating threads. 3mbt1 + 2c. Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d(d << l) apart because of their mutual repulsion. The Literary Theory Handbook introduces students to the history and scope of literary theory, showing them how to perform literary analysis, and providing a greater understanding of the historical contexts for different theories.. A new edition of this highly successful text, which includes updated and refined chapters, and new sections on contemporary theories Then as a function of distance between them Option 1) Option 2) Option 3) Option 4) D Rotation of Rigid Bodies. 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. Angular Momentum: Decreases is the force on object 1 exerted by object 2 and. Both balls are heated (e.g., with a blow torch) until their radii have increased to the same value of 5.01 cm. Two identical charged spheres suspended from a common point by two mass less strings of lengths ?, are initially at a distance d(d < < ?)
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