This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Identify the given charges and distance, and convert units. The first charge is q_1 = 2 × 10^-7 C. The second charge is q_2 = 3 × 10^-7 C. The distance between the charges is r = 30 cm. Convert this to meters: r = 30 × 10^-2 m = 0.3 m The electrostatic constant (Coulomb's constant) is k = 9 × 10^9 N m^2 C^-2. Step 2: Apply Coulomb's Law to find the force between the charges. Coulomb's Law states that the force (F) between two point charges is given by: F = k (q_1 q_2)/(r^2) Step 3: Substitute the values into Coulomb's Law and calculate the force. F = (9 × 10^9 N m^2 C^-2) (2 × 10^-7 C)(3 × 10^-7 C)(0.3 m)^2 F = (9 × 10^9) (6 × 10^-14)0.09 N F = 54 × 10^9-140.09 N F = 54 × 10^-50.09 N F = 600 × 10^-5 N F = 6 × 10^-3 N The force between the two charged spheres is 6 × 10^-3 N. That's 2 down. 3 left today — send the next one.