The figure shows two tiny 5.0-g spheres suspended from two very thin 1.0-m-long threads. The spheres repel each other after being charged to +36 nC and hang at rest as shown. What is the angle 07 (1/47e-8.50 -10°N ²²) 1.0 m 5.00 g 6.6° 22 Ⓒ44 88 1.0m 5.0
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- Two hard rubber spheres, each of mass m = 16.3 g, are rubbed with fur on a dry day and are then suspended with two insulating strings of length L = 5.50 cm whose support points are a distance d = 3.21 cm from each other as shown in the figure below. During the rubbing process, one sphere receives exactly twice the charge of the other. They are observed to hang at equilibrium, each at an angle of ? = 10.9° with the vertical. Find the amount of charge on each sphere. (Assume the two spheres have charges q1 and q2 = 2q1)What amount of energy does it take to assemble a charge configuration consisting of 3 points charges all with a charge of q=6.75 *10^-6 C that are to be arranged into a straight line seperated consecutively by x=0.163 meters?A long thin rod is bent into a perfect semicircle of radius 4.30 m. The linear change density of the rod is λ = 3.10 nC/m. How much charge is on a small piece of the rod that subtends an angle Δθ = 0.170 radians? 13.3 nC 0.527 nC 2.27 nC 4.24 nC
- Two identical spheres are attached to silk threads of length L=0.60 m and hung from a common point as shown in the figure. Each sphere has a mass m=7.0 g. One sphere is given a charge q1, and the other is given a different charge q2, this causes the spheres to separate so that when the spheres are in equilibrium, each thread makes an angle = 20 degrees with the vertical. A small wire is then connected to the spheres, allowing charge to be transferred from one sphere to the other until the two spheres have equal charges, the wire is then removed. Each thread now makes an angle = 30 degrees. Determine the original charge (in micro-coulomb) of q1.1. A point charge q₁ –5 µC located at (x = 0, y = 0.4 m, z = 0) is moving with speed 9 × 10ª m/s. The charge q₁ is moving in the xy-plane, and its velocity ₁ makes a 45° angle with the y-axis as shown below. Another point charge 92 8 μC is located at (x = 0, y = 0, z = 0.3 m) and is moving with velocity 6.5 × 10-4 m/s in the +z-direction. = x - V₂ 92 Z V₁ 45° 91 y (a) What is the magnetic field produced by 9₁ at the location of 9₂? (b) What is the magnetic force exerted on 92 by 9₁?Problem 10: Two point charges, Q₁ = Q₂ = +1.51 µC, are fixed symmetrically on the x axis at x = ±0.357 m. A point particle of charge. Q3 +3.18 μC, with mass m = 13.3 mg can move freely along the y axis. ▷ If the particle on the y axis is released from rest at y₁ 0.0211 m, what will be its speed, in meters per second, when it reaches y2 = 0.0624 m? Consider electric forces only. v = 0.66 m/s