You have a lightweight spring whose unstretched length is 4.0 cm. First, you attach one end of the spring to the ceiling and hang a 1.6 g mass from it. This stretches the spring to a length of 5.0 cm. You then attach two small plastic beads to the opposite ends of the spring, lay the spring on a frictionless table, and give each plastic bead the same charge. This stretches the spring to a length of 4.6 cm. Part A What is the magnitude of the charge (in nC) on each bead? Express your answer in nanocoulombs. ► View Available Hint(s) q= IVE ΑΣΦ ? nC
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- Two identical point charges (q = +1.00 x 10-6 C) are fixed at opposite corners of a square whose sides have a length of 0.420 m. A test charge (90 = -7.50 × 10-8 C), with a mass of 2.80 x 10-8 kg, is released from rest at one of the corners of the square. Determine the speed of the test charge when it reaches the center of the square. Number i Units .90 VBTwo 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.One type of ink-jet printer, called an electrostatic ink-jet printer, forms the letters by using deflecting electrodes to steer charged ink drops up and down vertically as the ink jet sweeps horizontally across the page. The ink jet forms 35.0 μm-diameter drops of ink, charges them by spraying 800,000 electrons on the surface, and shoots them toward the page with a horizontal velocity of 17.0 m/s. Along the way, the drops pass through the long axis of two horizontal, parallel electrodes that are 6.0 mm long, 4.0 mm wide, and spaced 1.0 mm apart. The distance from the center of the electrodes to the paper is 1.90 cm. To form the letters, which have a maximum height of 6.0 mm, the drops need to be deflected up or down a maximum of 3.0 mm. Ink, which consists of dye particles suspended in alcohol, has a density of 800 kg/m³. 3 E D 80 C $ 4 R 888 F4 F V % 5 FS T ^ G 6 B Part A What electric field strength is needed between the electrodes to achieve this deflection? Express your answer with…
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