Final answer:
To calculate the Coulomb's force between two protons, use Coulomb's law: F = k * (q1 * q2) / r^2. Given the charges on the protons (1.69 x 10^-19 C) and the distance between them (10 cm), the force is 2.869 x 10^-8 N.
Step-by-step explanation:
To calculate the Coulomb's force between two protons, we need to use Coulomb's law, which states that the force between two charges is directly proportional to the magnitude of the charges and inversely proportional to the square of the distance between them. The formula for Coulomb's force is F = k * (q1 * q2) / r^2, where F is the force, k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between the charges.
Given that the charges on the protons are both 1.69 x 10^-19 C, and the distance between them is 10 cm (0.1 m), we can plug these values into the formula. Coulomb's constant is 9.0 x 10^9 N-m^2/C^2.
Calculating the force:
F = (9.0 x 10^9 N-m^2/C^2) * (1.69 x 10^-19 C * 1.69 x 10^-19 C) / (0.1 m)^2
F = 2.869 x 10^-8 N
Therefore, the Coulomb's force between the two protons is 2.869 x 10^-8 N.