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AP Physics C: E&M
9.3 Conservation of Electric Energy
9.2 Electric Potential
9.1 Electric Potential Energy
IntermediateFRQDrawing RepresentationsGraphicalMathematicalProportional AnalysisConceptual24.8k
Figure 1. A charged particle launched toward a fixed charged sphere.
Figure 1. A charged particle launched toward a fixed charged sphere.
A small particle of mass \(m\) and positive charge \(+q\) is launched from a very large distance (assume \(r \to \infty\)) with initial speed \(v_0\) directly toward the center of a fixed, solid insulating sphere. The fixed sphere has radius \(R\) and a uniform positive charge \(+Q\). The particle momentarily comes to rest at a distance \(r_1\) from the center of the fixed sphere, where \(r_1 > R\). The effects of gravity are negligible.

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