QuestionMay 27, 2025

6. Calculate the electrostatic force between two protons that are 0.5m apart from each other

6. Calculate the electrostatic force between two protons that are 0.5m apart from each other
6. Calculate the electrostatic force between two protons that are 0.5m apart from each other

Solution
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Answer

9.19 \times 10^{-28} \, \text{N} Explanation 1. Identify the formula for electrostatic force Use Coulomb's Law: **F = \frac{k \cdot |q_1 \cdot q_2|}{r^2}**, where k = 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2, q_1 = q_2 = 1.6 \times 10^{-19} \, \text{C} (charge of a proton), and r = 0.5 \, \text{m}. 2. Substitute values into the formula F = \frac{8.99 \times 10^9 \cdot (1.6 \times 10^{-19})^2}{(0.5)^2} 3. Calculate the result F = \frac{8.99 \times 10^9 \cdot 2.56 \times 10^{-38}}{0.25} = 9.19 \times 10^{-28} \, \text{N}

Explanation

1. Identify the formula for electrostatic force<br /> Use Coulomb's Law: **$F = \frac{k \cdot |q_1 \cdot q_2|}{r^2}$**, where $k = 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2$, $q_1 = q_2 = 1.6 \times 10^{-19} \, \text{C}$ (charge of a proton), and $r = 0.5 \, \text{m}$.<br /><br />2. Substitute values into the formula<br /> $F = \frac{8.99 \times 10^9 \cdot (1.6 \times 10^{-19})^2}{(0.5)^2}$<br /><br />3. Calculate the result<br /> $F = \frac{8.99 \times 10^9 \cdot 2.56 \times 10^{-38}}{0.25} = 9.19 \times 10^{-28} \, \text{N}$
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