a) Find the magnitude of the

electrostatic force between 2
negative charges separated by a
distance of 1augustro.
b)what is the magnitude of gravit'l
force between the negetive charges
(electro)?
c) determine the ratio of the gravt'l
force and electrostatic force.
(Help with even the formulae!)

To solve these questions, we need to use the formulas for the electrostatic force and gravitational force:

a) The formula for the electrostatic force between two point charges is given by Coulomb's Law:

Fe = k * (|q1| * |q2|) / r^2

where Fe is the electrostatic force, k is the electrostatic constant (8.99 x 10^9 Nm^2/C^2), |q1| and |q2| are the magnitudes of the charges, and r is the distance between the charges.

In this case, since both charges are negative, the magnitudes will be the same. So, |q1| = |q2| = q (let's call it q).

Therefore, the formula becomes:

Fe = k * (q^2) / r^2

where Fe is the magnitude of the electrostatic force, k is the electrostatic constant, q is the magnitude of the negative charge, and r is the distance between the charges.

Substituting the given values, Fe = (8.99 x 10^9 Nm^2/C^2) * (q^2) / (1 augustro)^2.

b) The formula for the gravitational force between two masses is given by Newton's Law of Universal Gravitation:

Fg = G * (|m1| * |m2|) / r^2

where Fg is the gravitational force, G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2), |m1| and |m2| are the magnitudes of the masses, and r is the distance between the masses.

In this case, since we are dealing with negative charges, we need to consider the concept of gravitational-electrostatic analogy. The magnitude of gravitational force between two charged bodies is equal to the magnitude of the electrostatic force between those bodies when the same charge is replaced by a mass that is equal in magnitude but opposite in sign.

So, the magnitude of the gravitational force between the negative charges (electro) is equivalent to the magnitude of the electrostatic force between the positive charges (masses). Therefore, the formula is the same as for the electrostatic force:

Fg = G * (m^2) / r^2

where Fg is the magnitude of the gravitational force, G is the gravitational constant, m is the magnitude of the mass equivalent to the negative charge, and r is the distance between the charges.

Substituting the given values, Fg = (6.67 x 10^-11 Nm^2/kg^2) * (m^2) / (1 augustro)^2.

c) To determine the ratio of the gravitational force to the electrostatic force, we can simply divide the magnitude of the gravitational force by the magnitude of the electrostatic force:

Ratio = Fg / Fe

Substituting the calculated values for Fg and Fe, we can evaluate the ratio.