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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
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.
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