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A force of 2.4x10² N exists between a positive charge of 8x10^-5C and a positive charge of 3x10^-5C.What distance separates the charges?

Sagot :

ANSWER:

0.3 m

STEP-BY-STEP EXPLANATION:

We have the following formula for the force between two charges:

[tex]\begin{gathered} F=k\cdot\frac{q_1\cdot q_2}{d^2} \\ \text{ solving for d} \\ d^2=k\cdot\frac{q_1\cdot q_2}{F} \\ d=\sqrt[]{k\cdot\frac{q_1\cdot q_2}{F}} \end{gathered}[/tex]

We replace the values and calculate the distance:

[tex]\begin{gathered} d=\sqrt{9\cdot10^9\frac{8\cdot10^{-5}\cdot3\cdot10^{-5}}{2.4\cdot10^2}} \\ dPorlo=0.3\text{ m} \end{gathered}[/tex]

Therefore, the distance between both charges is 0.3 m

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