How much work is required to set up the four-charge configuration of the figure if q = 3.59 pC, a = 74.0 cm, and the particles are initially infinitely far apart and at rest? +1 -9 +q
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- A light, unstressed spring has length d. Two identical particles, each with charge q, are connected to the opposite ends of the spring. The particles are held stationary a distance d apart and then released at the same moment. The system then oscillates on a frictionless, horizontal table. The spring has a bit of internal kinetic friction, so the oscillation is damped. The particles eventually stop vibrating when the distance between them is 3d. Assume the system of the spring and two charged particles is isolated. Find the increase in internal energy that appears in the spring during the oscillations.A point charge, q = -5.0 nC, and m = 2.0 x 10-18 kg, is shot vertically upward with an initial speed of 3.0 x 105 m/s from a thin, infinite, planar sheet of uniform charge with surface charge density of σ = +4.0 nC/m^2 . To what vertical elevation will q rise above the sheet of charge? Neglect gravityOne end of a light spring with force constant k = 125 N/m is attached to a wall, and the other end to a metal block with charge A 1.94 μC on a horizontal, frictionless table as shown in the figure. A second block with charge qB -3.52 μC is brought close to the first block. The spring stretches as the blocks attract each other so that at equilibrium, the blocks are separated by a distance d = 12.8 cm. What is the displacement x of the spring? Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m ¦ 9A 6000000000000000 + 9A ¨¨¨¨¨¨¨¨ + |←x → ←——_—_d- == 9B
- Example 2: Two 2.0 cm × 2.0 cm square plates are charged with ±0.030 nC. The plates are balanced on an insulating table and are 6.0 mm apart. A 0.10 mm diameter water droplet that is missing 5.0x10° electrons is released from rest 2.0 cm above the table and halfway between the plates. Where does the droplet hit the table? 0.10 mm water droplet 2.0 cm X 2.0 cm 2.0 cm X 2.0 cm +0.030 nC -0.030 nCc) Considering electron and proton as two charged particles separated by d = 5 × 10-11 m calculate the following: i) the electrostatic potential at a distance d from the proton. ii) the potential energy of the electron in the field of the proton iii) the Coulomb force between proton and electron iv) the gravitational force between the proton and electron and find its ratio to the Coulomb force. Take the mass of the proton 1.7 x 10-27 kg, the mass of the electron 9.1 x 10-31 kg, the electron charge -1.6 x 10-19 C, the value of the universal gravitational constant 1 6.7 × 10-11 N kg-2m-2 and Απο 9 x 10° m/F.= A point charge q₁ 9.1 µC is held fixed at 0.42 μC and a mass origin. A second point charge 2 3.2 x 104 kg is placed on the x-axis, 0.96 m from the origin. The second point charge is released at rest. What is its speed when it is 0.24 m from the origin? =