OHW 2 - terry (ect328) oldhomework 02 Turner (59130) 1 This...

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Unformatted text preview: terry (ect328) oldhomework 02 Turner (59130) 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 2) 10.0 points Three charges are arranged as shown in the figure. The Coulomb cosnstant is 8 . 98755 10 9 N m 2 / C 2 . x y 3 . 7 nC 4 . 3 m . 9 nC . 6 nC 1 . 9 m Find the magnitude of the electrostatic force on the charge at the origin. Correct answer: 2 . 10413 nN. Explanation: Let : ( x , y ) = (0 m , 0 m) , q = . 9 nC , ( x 1 , y 1 ) = (4 . 3 m , 0 m) , q 1 = 3 . 7 nC , ( x 2 , y 2 ) = (0 m , 1 . 9 m) , and q 2 = 0 . 6 nC . x y q 1 x 1 q q 2 y 2 F The force vector F 10 (in the hatwider 10 direction, ) be- tween charge 9 10 10 C and 3 . 7 10 9 C is vector F 10 = + k e q q 1 x 2 1 ( ) = ( 8 . 98755 10 9 N m 2 / C 2 ) ( . 9 nC) (3 . 7 nC) (4 . 3 m) 2 = (1 . 61863 10 9 N) . The plus sign means the force vector F 10 is towards the positive x-axis. The force vector F 20 (in the hatwider 20 direction, + ) between charge 9 10 10 C and 6 10 10 C is vector F 20 = + k e q q 2 y 2 2 (+ ) = (8 . 98755 10 9 N m 2 / C 2 ) ( . 9 nC) (0 . 6 nC) ( 1 . 9 m) 2 = ( 1 . 3444 10 9 N) . The minus sign means the force vector F 20 is towards the negative y-axis. The magni- tude of the total force exerted on the charge 9 10 10 C is equal to bardbl vector F bardbl = radicalBig F 2 10 + F 2 20 = bracketleftBig (1 . 61863 10 9 N) 2 + ( 1 . 3444 10 9 N) 2 bracketrightBig 1 2 = 2 . 10413 10 9 N = 2 . 10413 N . 002 (part 2 of 2) 10.0 points What is the angle between the electrostatic force on the charge at the origin and the pos- itive x-axis? Answer in degrees as an angle between 180 and 180 measured from the positive x-axis, with counterclockwise posi- tive. Correct answer: 39 . 7122 . Explanation: The angle between vector F and the negative y- axis is = arctan parenleftbigg 1 . 3444 10 9 N 1 . 61863 10 9 N parenrightbigg = 39 . 7122 . terry (ect328) oldhomework 02 Turner (59130) 2 keywords: 003 (part 1 of 2) 10.0 points A charge Q is distributed uniformly along the x axis from x 1 to x 2 ....
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This note was uploaded on 02/17/2010 for the course PHY 59130 taught by Professor Turner during the Fall '09 term at University of Texas at Austin.

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OHW 2 - terry (ect328) oldhomework 02 Turner (59130) 1 This...

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