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To calculate the electrostatic force between two electrons in vacuum, we can use Coulomb's law: F = k * (q1 * q2) / r^2 Where: F is the force (in newtons) k is Coulomb's constant (approx. 8.99 x 10^9 N*m^2/C^2) q1 and q2 are the charges of the two electrons (in coulombs) r is the distance between the two electrons (in meters) Since the charge of an electron is -1.6 x 10^-19 C, the force between two electrons in vacuum can be calculated as: F = k * (-1.6 x 10^-19 C)^2 / r^2 To calculate the gravitational force between two electrons in vacuum, we can use Newton's law of gravitation: F = G * (m1 * m2) / r^2 Where: F is the force (in newtons) G is the gravitational constant (approx. 6.67 x 10^-11 N*m^2/kg^2) m1 and m2 are the masses of the two electrons (in kilograms) r is the distance between the two electrons (in meters) Since the mass of an electron is 9.11 x 10^-31 kg, the force between two electrons in vacuum can be calculated as: F = G * (9.11 x 10^-31 kg)^2 / r^2 As you can see, the gravitational force is much smaller than the electrostatic force between two electrons in vacuum, due to the much smaller value of G compared to k. For example, if the distance between the two electrons is 1 meter, the electrostatic force between them is about 8.9810^28 N, while the gravitational force between them is about 2.2410^-62 N. This means that the electrostatic force is much larger than the gravitational force, and in most cases, the gravitational force can be ignored.

The electrostatic force between two electrons in vacuum is roughly 10^36 times greater than the gravitational force. This is because the electrostatic force is inversely proportional to the square of the distance between particles, while gravitational forces behave as if they were a point mass and therefore decrease with the cube of the distance between particles. Therefore, at a certain distance, there will be much more electrostatic force than gravitational force.

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