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Unformatted text preview: WANG (xw788) oldhomework 01 Turner (59070) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Two uncharged metal balls, Z and X , stand on insulating glass rods. A third ball, carrying a positive charge, is brought near the ball X as shown in the figure. A conducting wire is then run between Z and X and then removed. Finally the third ball is removed. X Z + conducting wire When all this is finished 1. ball Z is positive and ball X is neutral. 2. ball Z is negative and ball X is neutral. 3. balls Z and X are both negative, but ball X carries more charge than ball Z . 4. balls Z and X are both negative, but ball Z carries more charge than ball X . 5. balls Z and X are both positive. 6. ball Z is negative and ball X is positive. 7. balls Z and X are still uncharged. 8. ball Z is neutral and ball X is positive. 9. ball Z is neutral and ball X is negative. 10. ball Z is positive and ball X is negative. correct Explanation: When the conducting wire is run between Z and X , some positive charge flows from X to Z under the influence of the positive charge of the third ball. Therefore, after the wire is removed, Z is charged positive and X is charged negative. 002 10.0 points Three identical point charges hang from three strings, as shown. The Coulomb constant is 8 . 98755 10 9 N m 2 / C 2 , and the acceleration of gravity is 9 . 81 m / s 2 . 45 45 F g 35.0 cm 35.0 cm + + + +q +q +q 0.10 kg 0.10 kg 0.10 kg What is the value of q ? Correct answer: 2 . 31266 10 6 C. Explanation: Let : m = 0 . 10 kg , L = 35 . 0 cm , = 45 , and k e = 8 . 98755 10 9 N m 2 / C 2 . r = 2 L sin = 2 L sin 45 = 2 L 2 2 = L 2 F T,x = F T sin F T,y = F T cos Each sphere is in equilibrium horizontally F electric F T,x = 0 F electric F T sin = 0 and vertically F T,y F g = 0 F T cos F g = 0 F T = F g cos . WANG (xw788) oldhomework 01 Turner (59070) 2 From the horizontal equilibrium, F electric = parenleftbigg F g cos parenrightbigg sin F electric = F g tan = F g (tan45 ) = F g . For either of the end charges, F electric = k e q 2 r 2 + k e q 2 ( r 2 ) 2 = k e q 2 r 2 + 4 k e q 2 r 2 = 5 k e q 2 r 2 5 k e q 2 r 2 = mg . Thus | q | = radicalBigg r 2 mg 5 k e = radicalBigg ( L 2) 2 mg 5 k e = L radicalbigg 2 mg 5 k e = (35 cm) parenleftbigg 1 m 100 cm parenrightbigg radicalBigg 2(0 . 1 kg)(9 . 81 m / s 2 ) 5(8 . 98755 10 9 N m 2 / C 2 ) = 2 . 31266 10 6 C . 003 (part 1 of 2) 10.0 points Two identical small metal spheres with q 1 > and | q 1 | > | q 2 | attract each other with a force of magnitude 74 . 6 mN, as shown in the figure below....
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