Final answer:
To compare the electromagnetic and gravitational forces between two electrons, use Coulomb's Law and Newton's Law of Universal Gravitation.
The calculated electromagnetic force is much larger than the gravitational force by many orders of magnitude.
Step-by-step explanation:
To compare the magnitude of the electromagnetic and gravitational forces between two electrons separated by a distance of 2.00 m, we use two fundamental physics formulas. The electromagnetic force (Fe) is calculated using Coulomb's Law, and the gravitational force (Fg) is determined by Newton's Law of Universal Gravitation.
The formula for the electromagnetic force is:
Fe = k * q1 * q2 / r^2
where k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q1 and q2 are the charges of the electrons (1.61 x 10^-19 C), and r is the separation distance (2.00 m).
The formula for the gravitational force is:
Fg = G * m1 * m2 / r^2
where G is the gravitational constant (6.674 x 10^-11 Nm^2/kg^2), m1 and m2 are the masses of the electrons (9.11 x 10^-31 kg), and r is again the separation distance (2.00 m).
By plugging in the values and performing the calculations, you will find that the electromagnetic force greatly exceeds the gravitational force, by many orders of magnitude.