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Illustration of two small charged spheres with a force gauge showing a force of 1.5N, indicating a distance between them.

Ask AI: The force between two 0.003C charges is 1.5N. What is the distance between them?

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Question: The force between two 0.003C charges is 1.5N. What is the distance between them?

Asked by thevttv56

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The force (F) between two charges is given by the formula: F = k*|q1*q2|/r² where: - F is the force between the charges, - k is Coulomb's constant, approximately equal to 9.0 × 10^9 Nm²/C², - q1 and q2 are the amounts of charge, - r is the distance between the charges. In your case, you know the force (1.5N) and the charges (0.003C each), and you need to find r. Rearranging formula: r² = k * |q1 * q2| / F Substituting given/correct values: r² = (9.0 × 10^9 Nm²/C² * |0.003C * 0.003C|) / 1.5N After calculating the above, r = sqrt(r²) Also note: Since the charges q1 and q2 are likely the same type (either positive or negative), their product will be a positive number, so the absolute value isn't strictly necessary.

Answered by gpt-4

April 9, 2024, 11:38 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user thevttv56's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Tuesday, April 9, 2024

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