8. * Coulomb's Law described the force of attraction between charged particles. It states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. The figure shows particles with charge +1 located at positions 0 and 2 on a coordinate line and a particle with charge -1 at a position x between them. It follows from Coulomb's Law that the net force acting on the middle particle is k F(x)==+₂₁² [0

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For each function, use our techniques to sketch the graph. Include asymptotes, at least one intercept,
and a derivative chart.

8.
* Coulomb's Law described the force of attraction between charged particles. It states that the
force is directly proportional to the product of the charges and inversely proportional to the
square of the distance between them. The figure shows particles with charge +1 located at
positions 0 and 2 on a coordinate line and a particle with charge -1 at a position x between them.
It follows from Coulomb's Law that the net force acting on the middle particle is
x
k
F(x)==k+₁ [0<x<2]
X² (x-2)²
where k is a positive constant. Sketch the graph of the net force function (if it helps, let k=1). What
does the graph say about the force?
2
Transcribed Image Text:8. * Coulomb's Law described the force of attraction between charged particles. It states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. The figure shows particles with charge +1 located at positions 0 and 2 on a coordinate line and a particle with charge -1 at a position x between them. It follows from Coulomb's Law that the net force acting on the middle particle is x k F(x)==k+₁ [0<x<2] X² (x-2)² where k is a positive constant. Sketch the graph of the net force function (if it helps, let k=1). What does the graph say about the force? 2
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