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.
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Here are the solutions to your electrostatics questions: QUESTION 2 2.1 Step 1: State Coulomb's law. Coulomb's law states that the electrostatic force between two point charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between their centers. 2.2 2.2.1 Step 1: Identify given values and the formula. Given: Force F = 1.44 × 10^-1 \, N Distance r = 0.5 \, m Coulomb's constant k = 9 × 10^9 \, N · m^2/C^2 Since the spheres are identical and negatively charged with the same magnitude, let their charge be Q. Coulomb's Law: F = k (|q_1 q_2|)/(r^2) = k (Q^2)/(r^2). Step 2: Calculate the magnitude of the charge on each sphere. Rearrange the formula to solve for Q: Q^2 = (F r^2)/(k) Q = sqrt((F r^2)/(k)) Substitute the values: Q = sqrt((1.44 × 10^-1) \, N) (0.5 \, m)^