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

Respuesta :

Answer:

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

Explanation:

Answer:

[tex]F_e=1.23\times 10^{36}\times F_G[/tex]

Explanation:

The charge on proton is [tex]1.6\times 10^{-19}\ C[/tex]

The mass of proton is [tex]1.67\times 10^{-27}\ kg[/tex]

The electric force between two charges is given by :

[tex]F_e=\dfrac{kq^2}{r^2}\ ......(1)[/tex]

The gravitational force between two protons is given by :

[tex]F_G=G\dfrac{m^2}{r^2}\ ......(2)[/tex]

From equations (1) and (2).

[tex]\dfrac{F_e}{F_G}=\dfrac{kq^2}{Gm^2}\\\\=\dfrac{9\times 10^9\times (1.6\times 10^{-19})^2}{6.67\times 10^{-11}\times (1.67\times 10^{-27})^2}\\\\=1.23\times 10^{36}\\\\F_e=1.23\times 10^{36}\times F_G[/tex]

So, the electric force between two protons is [tex]1.23\times 10^{36}[/tex] times that of the gravitational force between them.