Calculate the ratio of electric to gravitational force b/w two electrons..?

Question

Calculate the ratio of electric to gravitational force b/w two electrons..?

Answer 1

Both are inverse square law, so the ratio stays the same irrespective of distance.  The electric force is F= Q1Q2/(4 pi epsilon r^2) and the gravitational force is F=GM1M2/ (r^2).  G is Newton's gravitational constant, epsilon is the electric permittivity of space, Q1,Q2,M1,M2 are the charges and masses respectively, and this works out that the electric force is about 10^39 times as strong as gravity; a very large ratio.

Answer 2

Gravitational attraction between two electrons is:

Fgrav = G m^2 / r^2

Electrostatic repulsion between two electrons is:

Felec = k q^2 / r^2

The ratio, therefore, is kq^2 / Gm^2.

Go look up coulomb's constant, k, newton's big G, and the mass and charge of an electron. Then grab a calculator and plugnchug.

2 hours ago

Answer 3

dunno

Answer 4

mistress bekki is correct

k = 8.99x10^9 Nm^2/C^2

G = 6.67x10^-11 Nm^2/kg^2

e = -1.60x10^-19 C

m = 9.11x10^-31 kg

Answer 5

The electric force is given by the equation Fe=(q)(q) / (4) (π) (ε0) (r^2)

Where Fe is the electric force, either q is the charge of an electron (-1.6E-19 Coulombs), π is pi (3.14), ε0 is the permittivity of free space (8.854188E-12), r^2 is the radius squared (this will cancel out with the gravitational force)

The gravitational force is Fg=(G) (m^2) / r^2

Where Fg is the force of gravity, G is the gravitational constant (G=6.67E-11), m^2 is the mass squared (8.3E-61), r^2 is again the radius squared.  

When we make a ratio of the two forces we get Fe/Fg = (q^2) (r^2) / (r^2) (4) (π) (ε0) (G) (m^2)

The two r^2 cancel and we finally get:

Fe/Fg = (q^2) / (4) (π) (ε0) (G) (m^2)

This gives us a ratio of about 4.17E42.  That's a huge difference!

Answer 6

Gravitational attraction between two electrons is:

Fgrav = G m^2 / r^2

Electrostatic repulsion between two electrons is:

Felec = k q^2 / r^2

The ratio, therefore, is kq^2 / Gm^2.

Go look up coulomb's constant, k, newton's big G, and the mass and charge of an electron.  Then grab a calculator and plugnchug.