Question

How much stronger is the electric force between two protons than the gravitational force between them?

Answer 1

The electric force between two protons is 10^36 times stronger than the gravitational force between them.

Step-by-step explanation:

Answer 2

`F_e=1.23* 10^(36)* F_G`

Step-by-step explanation:

The charge on proton is
`1.6* 10^(-19)\ C`

The mass of proton is
`1.67* 10^(-27)\ kg`

The electric force between two charges is given by :

`F_e=(kq^2)/(r^2)\ ......(1)`

The gravitational force between two protons is given by :

`F_G=G(m^2)/(r^2)\ ......(2)`

From equations (1) and (2).

`(F_e)/(F_G)=(kq^2)/(Gm^2)\\\\=(9* 10^9* (1.6* 10^(-19))^2)/(6.67* 10^(-11)* (1.67* 10^(-27))^2)\\\\=1.23* 10^(36)\\\\F_e=1.23* 10^(36)* F_G`

So, the electric force between two protons is
`1.23* 10^(36)` times that of the gravitational force between them.