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!)
I am not familiar with a length unit called an "augustro".
Do you possibly mean one Angstrom? That is 10^-8 cm
If you want the ratio of gravitational and electrical forces you have to say what the particles are. One cannot be a proton, since you have said they are both negative.
a) To find the magnitude of the electrostatic force between two negative charges separated by a distance, we can use Coulomb's law. The formula for Coulomb's law is:
F = (k * |q1 * q2|) / r^2
Where F is the electrostatic force, k is the electrostatic constant (k = 9 x 10^9 N*m^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, let's assume they have the same magnitude, so q1 = q2 = q. Also, the distance between them is given as 1 augustro.
Therefore, the formula becomes:
F = (k * |q * q|) / (1 augustro)^2
Note: The magnitude of a charge is always taken as a positive value.
b) The formula for the magnitude of the gravitational force between two objects is given by Newton's law of universal gravitation:
F = (G * |m1 * m2|) / r^2
Where F is the gravitational force, G is the gravitational constant (G ≈ 6.67430 x 10^-11 N*m^2/kg^2), m1 and m2 are the masses of the objects, and r is the distance between their centers of mass.
Assuming the question refers to the magnitude of the gravitational force between the two negative charges:
F = (G * |m1 * m2|) / r^2
c) To determine the ratio of the gravitational force to the electrostatic force, we can divide the magnitude of the gravitational force by the magnitude of the electrostatic force:
Ratio = (Gravitational Force) / (Electrostatic Force)
This ratio will depend on the specific values of the charges and masses, which are not provided in the question. You can substitute the values into the respective formulas to calculate the numerical ratio.