1. Two identical, small insulating balls are suspended by separate 0.25 m threads that are attached to a common point on the ceiling. Each ball has a mass of 2 x 10-3 kg. Initially the balls are uncharged and hang straightdown. They are then given identical positive charges and, as a result, spread apart with an angle 36° between the threads. Determine a) the charge on each ball and b) the tension in the threads. 360 L= 0.25 m
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- A neutral plastic strip is rubbed with cotton and acquires a positive charge. Which of the following statements are true of the positively-charged strip? It lost some electrons to the cotton during the charging process. It lost all of its electrons to the cotton during the charging process. It has the opposite charge as the cotton. It would now be repelled by the piece of cotton which was used to charge it. It gained protons during the rubbing process. As a material, plastic has a greater affinity for electrons than cotton. It could exert either a repulsive or attractive influence upon neutral paper bits. It has an excess of protons compared to the number of electrons. It could be used to charge an electroscope negatively by the process of induction. It lost negative electrons and gained positive electrons during the charging process. It lost neutrons during the charging process (or at the very least, its neutrons became ineffective).1. In the following problems, you don't need to understand the physics to complete the questions. Focus on the equations. (a) The force of gravity, F, between two masses, m and M, separated by a distance r, is given by GmM where G is a constant. Write an equation of r in terms of other variables in the equation F= for F: r= GmM F (b) The electric force between two charges q=3-10-6 units and Q=-4·10¯6 units separated by a distance, d = 3.10-4 units, is given by F= kqQ d² I where k=9. 10⁹ units. Without using a calculator, calculate the F. F= -12x10 -5 Ⓡ√Three neutral metal balls A, B and Care suspended by cotton threads with B touching C. A negatively charged rod is brought close to A and C is touched with a finger. The finger is then removed under the presence of the rod. After the rod is removed, the charge on the balls will be A A: neutral B: negative C: negative OA: positive B: negative C: negative OA: positive B: negative C: positive A: neutral B: neutral C: neutral BXC OA: neutral B: positive C: positive
- 104. In copper there is approximately one free electron for each atom. A copper coin has a mass of m=3 g. (k=9.10° N.m²/C², NA=6.02.10²3 mol-¹, e--1.6.10-¹9 C, M-63.5 g/mol) 1) What percentage of the free charge would have to be extracted from the currency for it to acquire a charge of q=15 UC? a)2,69.107 % b)2,99.107 % c)3,29.10.7 % d)3,59.10-7% e)3,89.107 % II) What would be the force of repulsion between two coins that have this charge, if they were separated by a distance of d = 25 cm? (Assume currency as a point charge) (a)30.4 N b)32.4 N (c)34.4 N (d)36.4 N (e)38.4 NTwo parallel plates that are initially uncharged are separated by |1.7 mm. What charge must be transferred from one plate to the other if 19.0 kJ of energy are to be stored in the plates? The area of each plate is 16.0 mm2. O 6.0 mC 80 μC O 40 µC O 56 µC1. Three identical metallic conducting spheres carry the following charges: 91 = +5.00 μC, q2 = +1.40 µC, and 93 -9.20 μC. The spheres that carry the charges 9₁ and 92 are brought into contact. Then they are separated. After that, one of those two spheres is brought into contact with the third sphere that carries the charge 93; those two are then separated as well. ROJS a) What is the final charge on the third sphere?60 SS μC sf60 s60 s ssf60 ssfo ssf603 60 ssf60 ssi
- = 32.2 nC. The figure below shows a small, hollow, plastic sphere hanging vertically from a thin, lightweight thread. The sphere has a mass of 7.10 g and a uniformly distributed charge of 91 Directly below it is a second sphere with the same mass, but a charge of 92 = -58.0 nC. (Assume this second sphere is fixed in place.) The centers of the two plastic spheres are a distance d = 2.00 cm apart. 91 92 (a) What is the tension (in N) in the thread? 0.11154376 N (b) The thread will break if the tension in it exceeds 0.180 N. What is the smallest possible value of d (in cm) before the thread breaks? The analysis is the same as in part (a), including the magnitude and direction of the gravitational and electric forces. Note that Coulomb's law depends on the square of the distance d. Use the threshold value of the tension to solve for d. cm1. 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?Three point charges are located as shown in the figure. q1 =-9 x 10-12 [C) and d =5 [cm] 92 =1x 10-12 (C] and d; = 1 [cm] 93 =-4 x 10-2 (C) and dy = 7 [cm] 93 d3 a. n Jami the t 1 at the- 92 INA d, d, de electri nyutuae or tne eiectrio neld created by the charge g at the origin d E What ie thadie origin. e.t harge qs at the origin. UR OL ne e E = (N/C f. JWha Oi Calculate ther THL NT Î IN/C) A charge go equal to -1.6 x 10-19 is located at the origin. The net electric field at the origin and the total force applied on the charge g will have: Osame direction Oopposite direction ik s]A charge go equal to -1.6x 10-19 is located at the origin, where the net electric field vector is supposed to be Ener "-4 i +4 ĵ IN/C). Calculate the net electric force vector created on go and select its unit (DO NOT USE THE VALUES FOUND IN THE PREVIOUS PARTS) met
- 5. Two parallel, metal plates with separation distance d=2.00 cm carry charges of equal magnitude but opposite sign. Assume the electric field has a magnitude of 2,000 N/C. A charged particle with mass 2.00x10-16 kg and charge 1.00x106 C is projected from the center of the bottom negative plate with an initial speed of 1.00x105 m/s at an angle of 45 degrees above the horizontal. Assume the plates are square with side length 20.0 cm. a. Where does the particle strike? Answer: b. What is the minimum initial speed the particle must have in order to reach the positive plate. Answer:A rubber rod is rubbed with a soft fur towel in order to clean it. In the process, the rod acquires a charge of -6.4 x10-9 C. a) What is the charge of the soft fur towel? b) How much mass has been transferred to the rod?A small plastic ball with a mass of 6.65 10-3 kg and with a charge of +0.149 µC is suspended from an insulating thread and hangs between the plates of a capacitor (see the drawing). The ball is in equilibrium, with the thread making an angle of 30.0° with respect to the vertical. The area of each plate is 0.0138 m2. What is the magnitude of the charge on each plate? C