(a) Explanation Given information: The equation for the force for two electrons is F = 23 × 10 − 29 r 2 newtons . The fixed point of one electron is ( 1 , 0 ) . Calculation: Consider second electron has the x –coordinate of ρ . Then the square of the distance is taken as r 2 = ( ρ − 1 ) 2 . Determine the work done by an electron to move a second electron along the x –axis from the point ( − 1 , 0 ) to origin. W = ∫ a b F ( ρ ) d ρ Substitute –1 for a , 0 for b , and 23 × 10 − 29 r 2 newtons for F ( ρ ) . W = ∫ − 1 0 23 × 10 − 29 r 2 d ρ (1) Substitute ( ρ − 1 ) 2 for r 2 in Equation (1) (b) To determine Find the work done to move a third electron along the x –axis from the points ( 5 , 0 ) to ( 3 , 0 ) .

University Calculus: Early Transcendentals (4th Edition)

4th Edition

ISBN: 9780134995540

Author: Joel R. Hass, Christopher E. Heil, Przemyslaw Bogacki, Maurice D. Weir, George B. Thomas Jr.

Publisher: PEARSON

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Chapter 6.5, Problem 34E

(a)

To determine

Find the work done by an electron to move a second electron along the x–axis from the point (−1,0) to origin.

(b)

To determine

Find the work done to move a third electron along the x–axis from the points (5,0) to (3,0).

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Chapter 6.5, Problem 33E

Chapter 6.6, Problem 1E

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Find the work done by an electron to move a second electron along the x –axis from the point ( − 1 , 0 ) to origin.