a. Explanation Given information: Two similarly charged particles repel each otherwith a force inversely proportional to the square of the distance between them.Suppose the force is 12 dynes when they are 5 cm apart. Formula used: The work done by the variable force F ( x ) in moving an object along the x-axis from x = a to x = b is given by W = ∫ a b F ( x ) d x Calculation: Since force is inversely proportional to the square of the distance between them, F α 1 x 2 . ⇒ F = k 1 x 2 ..........(1) The force is 12 dynes when they are 5 cm apart. (Given) ⇒ 12 = k 1 5 2 ⇒ k = ( 12 ) ( 25 ) ⇒ k = 300 Using k value in (1), we get ⇒ F b. To determine To analyse: A model to determine the amount of work done in moving one particle from an ‘infinite’ distanceto a distance of 8 cm from the other.

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 6.5, Problem 47PS

To determine

To find:The work done in moving one particle from a distance of 10 cm

to a distance of 8 cm from the other.

To determine

To analyse: A model to determine the amount of work done in moving one particle from an ‘infinite’ distanceto a distance of 8 cm from the other.

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Chapter 6.5, Problem 46PS

Chapter 6.5, Problem 48PS

Chapter 6 Solutions

Calculus

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The work done in moving one particle from a distance of 10 cm to a distance of 8 cm from the other.

Solution Summary: The author explains how the force is inversely proportional to the square of the distance between two similarly charged particles.