Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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

Sagot :

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.