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Unformatted text preview: vo (ytv59) oldhomework 02 Turner (56705) 1 This printout should have 10 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points Two identical small charged spheres hang in equilibrium with equal masses as shown in the figure. The length of the strings are equal and the angle (shown in the figure) with the vertical is identical. . 2 4 m 4 . 02 kg . 02 kg Find the magnitude of the charge on each sphere. The acceleration of gravity is 9 . 8 m / s 2 and the value of Coulombs constant is 8 . 98755 10 9 N m 2 / C 2 . Correct answer: 4 . 1348 10 8 C. Explanation: Let : L = 0 . 24 m , m = 0 . 02 kg , and = 4 . L a m m q q From the right triangle in the figure above, we see that sin = a L . Therefore a = L sin = (0 . 24 m) sin(4 ) = 0 . 0167416 m . The separation of the spheres is r = 2 a = . 0334831 m . The forces acting on one of the spheres are shown in the figure below. m g F T e T sin T cos Because the sphere is in equilibrium, the resultant of the forces in the horizontal and vertical directions must separately add up to zero: summationdisplay F x = T sin F e = 0 summationdisplay F y = T cos mg = 0 . F sin F cos = F e mg F e = mg tan = (0 . 02 kg) ( 9 . 8 m / s 2 ) tan(4 ) = 0 . 0137057 N , for the electric force. From Coulombs law, the electric force be tween the charges has magnitude  F e  = k e  q  2 r 2  q  = radicalBigg  F e  r 2 k e = radicalBigg (0 . 0137057 N) (0 . 0334831 m) 2 (8 . 98755 10 9 N m 2 / C 2 ) = 4 . 1348 10 8 C . 002 10.0 points The diagrams below depict three electric field patterns. Some of these patterns are physi cally impossible. Assume these electric field patterns are due to static electric charges outside the regions shown. vo (ytv59) oldhomework 02 Turner (56705) 2 (a) (b) (c) Which electrostatic field patterns are phys ically possible? 1. (a) and (b) 2. (a) and (c) 3. (b) and (c) 4. (a) only 5. (c) only 6. (b) only correct Explanation: Electrostatic lines of force do not intersect one another. Neither do they form a closed circuit (unless there is a changing magnetic field present)....
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 Fall '10
 turner
 Charge, Work

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