Electric Charge and Spring Force Problem

AI Thread Summary
The problem involves a charged sphere attached to a spring on a frictionless surface, with a second point charge affecting its position. The sphere has a charge of 2.36 microCulombs and is displaced to 0.124 m when a point charge of -8.55 microCulombs is introduced. To solve the problem, understanding the spring force and Coulomb's law is essential. The spring force can be calculated using Hooke's law, while the electric force can be determined using Coulomb's law. A clear grasp of these concepts is necessary to find the solution effectively.
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Homework Statement



A small sphere with a charge of 2.36 microCulombs is attached to a relaxed horizontal spring whose force constant is 88.6 N/m. The spring extends along the x axis, and the sphere rests on a frictionless surface with its center at the origin. A point charge Q = - 8.55 microCulombs is now moved slowly from infinity to a point x = d > 0 on the x axis. This causes the small sphere to move to the position x = 0.124 m


Homework Equations



I don't even know where to begin with this problem :(

The Attempt at a Solution



I don't really understand the concept or even how to begin to solve this problem.. any explanation of the concept or where to start would be greatly greatly appreciated!
 
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Finding the force on that spring would be a reasonable start (what force would cause a displacement of 0.124 m?). Coulomb's law will help you with the rest.
 
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