You have two small spheres, each with a mass of 2.40 grams, separated by a distance of 10.0 cm. You remove the same number of electrons from each sphere. 1) What is the charge on each sphere if their gravitational attraction is exactly equal to their electrical repulsion?

2) How many electrons did you remove from each sphere?

q = 2.066* 10⁻¹³ C.

n = 1,291,250 electrons.

Explanation:

1)

If the gravitational attraction is equal to their electrical repulsion, we can write the following equation:

       

where Fg is the gravitational attraction, that can be written as follows        according Newton's Universal Law of Gravitation:

       

Fc, due to it is the electrical repulsion between both charged spheres, must obey Coulomb's Law (assuming  we can treat both spheres as point charges), as follows:

       

since m₁ = m₂ = 0.0024 kg, and  r₁₂ = 0.1m, G and k universal constants, and q₁ = q₂ = Q, we can replace the values in (2) and (3), so we can rewrite (1) as follows:

       

Since obviously the distance is the same on both sides, we can cancel them out, and solve (4) for Q² first, as follows:

       

Since both charges are the same, the charge on each sphere is just the square root of (5):Q = 2.066* 10⁻¹³ C.

2)

Assuming that both spheres were electrically neutral before being charged, the negative charge removed must be equal to the positive charge on the spheres.Now, since each electron carries an elementary charge equal to -1.6*10⁻¹⁹ C, in order to get the number of electrons removed from each sphere, we need to divide the charge removed from each sphere (the outcome of part 1) with negative sign) by the elementary charge, as follows:

Answer

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

explanation

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force