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 find the answers to these questions, we can use the formulas for the electrostatic force and gravitational force, as well as the constant values related to these forces.
a) The magnitude of the electrostatic force between two charges can be calculated using Coulomb's Law:
F = (k * |q1 * q2|) / r^2
Where:
- F is the electrostatic force
- k is Coulomb's constant (~8.99 × 10^9 Nm^2/C^2)
- q1 and q2 are the magnitudes of the charges
- r is the distance between the charges
Given that the charges are negative, we can denote their magnitudes as |q1| and |q2|.
Therefore, to find the magnitude of the electrostatic force, substitute the given values into the formula: plug in the magnitude of the charges and the distance, and calculate.
b) The magnitude of the gravitational force between two charges can be calculated using Newton's Law of Universal Gravitation:
F = (G * |m1 * m2|) / r^2
Where:
- F is the gravitational force
- G is the gravitational constant (~6.674 × 10^-11 Nm^2/kg^2)
- m1 and m2 are the masses of the charges
- r is the distance between the charges
In this case, we have negative charges, not masses. So, let's assume the magnitude of the charges is the same as the magnitude of the masses: |m1| = |m2|.
Therefore, to find the magnitude of the gravitational force, substitute the given values into the formula: plug in the magnitude of the charges (with |m1| = |m2|), and the distance, and calculate.
c) To determine the ratio between the gravitational force and the electrostatic force, divide the magnitude of the gravitational force by the magnitude of the electrostatic force:
Ratio = (Gravitational Force) / (Electrostatic Force)
Substitute the calculated values for the forces into the ratio formula and evaluate it.
Remember to always use the correct units and be mindful of the signs of the charges when using the formulas.
a) The magnitude of the electrostatic force between two charges can be calculated using Coulomb's Law:
F = (k * |q1 * q2|) / r^2
Where:
- F is the magnitude of the electrostatic force
- k is the electrostatic constant, approximately 9 x 10^9 N*m^2/C^2
- |q1| and |q2| are the magnitudes of the charges
- r is the separation distance between the charges
In this case, since both charges are negative, let's assume they have the same magnitude of charge |q|.
Plugging in the given values:
F = (9 x 10^9 N*m^2/C^2 * |q * q|) / (1 augustro)^2
Note: The unit of "augustro" is not recognized. Please provide the separation distance in meters or another recognized unit.
b) The gravitational force between two charges is negligible compared to the electrostatic force between them. Gravitational force is normally associated with masses, not charges.
c) Since there is no gravitational force acting between the charges, the ratio of the gravitational force to the electrostatic force is 0:1.