A small plastic sphere with a charge of -7.0 nC is near another small plastic sphere with a...

Question:

A small plastic sphere with a charge of -7.0 nC is near another small plastic sphere with a charge of -13 nC.

Part A:

If the spheres repel one another with a force of magnitude {eq}8.7\times 10^{-4}\ N {/eq} , what is the distance between the spheres?

Express your answer using two significant figures

Coulomb's Law:

The electric force between charge particles is given by Coulomb's law. The expression for magnitude of Coulomb force(F) between two particles of charge {eq}q_1{/eq} and {eq}q_2{/eq} with separation distance of d, is given by:

{eq}F = \dfrac{1}{4\pi\epsilon_0}\times \dfrac{q_1 q_2}{d^2}{/eq}

Answer and Explanation:

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We are given:

  • Two small plastic spheres of respective charges:
    {eq}q_1 = -7.0 \ nC = -7.0\times 10^{-9} C\\q_2 = -13 \ nC = -13\times 10^{-9} C{/eq}
  • ...

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Coulomb's Law: Variables Affecting the Force Between Two Charged Particles

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Chapter 6 / Lesson 3
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In the 18th century, Charles Coulomb uncovered the secrets of electrostatic force between charged particles. The results of his experiments led to what is now known as Coulomb's Law, which tells us how force, charge, and distance are all related.


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