2-3 - Create assignment, 00224, Homework 3, Feb 05 at 9:08...

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Unformatted text preview: Create assignment, 00224, Homework 3, Feb 05 at 9:08 am 1 This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. The due time is Central time. Charge on Third Particle 23:05, trigonometry, numeric, > 1 min, wording-variable. 001 A particle with charge- 9 C is located on the x-axis at the point- 10 cm , and a sec- ond particle with charge 5 C is placed on the x-axis at 4 cm . The Coulomb constant is 8 . 9875 10 9 N m 2 / C 2 . 2 4 6 8 10- 2- 4- 6- 8- 10- 9 C 5 C 2 C x (cm) What is the magnitude of the total elec- trostatic force on a third particle with charge 2 C placed on the x-axis at 2 cm? Correct answer: 235 . 922 N. Explanation: Let : q 1 =- 9 C =- 9 10- 6 C , q 2 = 5 C = 5 10- 6 C , q 3 = 2 C = 2 10- 6 C , x 1 =- 10 cm =- . 1 m , x 2 = 4 cm = 0 . 04 m , and x 3 = 2 cm = 0 . 02 m . Coulombs law (in vector form) for the elec- tric force exerted by a charge q 1 on a second charge q 3 , written ~ F 13 is ~ F 13 = k e q 1 q 3 r 2 r 13 , where r 13 is a unit vector directed from q 1 to q 3 ; i.e. , ~r 13 = ~r 3- ~r 1 . x 13 = x 3- x 1 = (2 cm)- (- 10 cm) = 0 . 12 m x 23 = x 3- x 2 = (2 cm)- (4 cm) =- . 02 m x 13 = x 3- x 1 p ( x 3- x 1 ) 2 = + x 23 = x 3- x 2 p ( x 3- x 2 ) 2 =- Since the forces are collinear, the force on the third particle is the algebraic sum of the forces between the first and third and the second and third particles. ~ F = ~ F 13 + ~ F 23 = k e q 1 r 2 13 r 13 + q 2 r 2 23 r 23 q 3 = 8 . 9875 10 9 N m 2 / C 2 (- 9 10- 6 C) (0 . 12 m) 2 (+ ) + (5 10- 6 C) (- . 02 m) 2 (- ) (2 10- 6 C) = (- 11 . 2344 N) + (- 224 . 688 N) =- 235 . 922 N k ~ F k = 235 . 922 N . keywords: Magnitude of Force 23:05, highSchool, numeric, > 1 min, normal. 002 There are two identical small metal spheres with charges 33 C and- 26 . 4 C. The dis- tance between them is 5 cm. The spheres are placed in contact then set at their orig- inal distance. The Coulomb constant is 8 . 98755 10 9 N m 2 / C 2 ....
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2-3 - Create assignment, 00224, Homework 3, Feb 05 at 9:08...

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