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# Ask AI: F = 8.99 * 10^9 N m^2/C^2 * |0.003C * 0.006C| / (1.4m)^2 Perform the calculation

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Question: F = 8.99 * 10^9 N m^2/C^2 * |0.003C * 0.006C| / (1.4m)^2 Perform the calculation

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To perform this calculation, first multiply the two charges, then divide the resulting product by the square of the distance, and finally, multiply the result by the electrostatic constant. Given: - Electrostatic constant (F) = 8.99 * 10^9 N m^2/C^2 - Charge 1 (q1) = 0.003 C - Charge 2 (q2) = 0.006 C - Distance (r) = 1.4 m Apply Coulomb's law: F = k * |q1 * q2| / r^2 Calculate it step by step: 1. Calculate |q1 * q2|: = |0.003 C * 0.006 C| = 0.000018 C^2 2. Calculate the square of the distance (r^2): = (1.4 m)^2 = 1.96 m^2 3. Now, insert the values into Coulomb’s law: F = 8.99 * 10^9 N m^2/C^2 * 0.000018 C^2 / 1.96 m^2 4. Perform the multiplication and division: = (8.99 * 10^9 * 0.000018) / 1.96 = 81.9636 N So, the force (F) is approximately 81.96 N.

April 9, 2024, 11:14 a.m.

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