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.