Final answer:
The force of attraction between charged particles depends on the distance between them and the charges involved. According to Coulomb's law, the force is inversely proportional to the square of the distance. In this case, the electron that is 0.1m away from the proton will have a greater force of attraction compared to the electron that is 0.5m away.
Step-by-step explanation:
The force of attraction between two charged particles is given by Coulomb's law:
F = k * (q1 * q2) / r^2
where F is the force, k is the proportionality constant (9 x 10^9 Nm^2/C^2), q1 and q2 are the charges of the particles, and r is the distance between them.
In this case, we have two electrons and one proton. Since both have the same charge of -e, the force of attraction will be equal in magnitude but opposite in direction.
Therefore, the distance between the particles determines which force is greater.
According to the question, one electron is 0.1m away from the proton, while the other electron is 0.5m away from the proton.
Applying Coulomb's law, we can calculate the forces as follows:
For the electron 0.1m away: F1 = (k * (-e)^2) / (0.1^2)
For the electron 0.5m away: F2 = (k * (-e)^2) / (0.5^2)
Calculating these values, we find that F1 is 100 times greater than F2.
Therefore, the electron that is 0.1m away from the proton has a greater force of attraction.