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

2 Answers

4 votes

Answer:

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

Step-by-step explanation:

User Fgamess
by
4.6k points
1 vote

Answer:


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.

User Prince Ahmed
by
4.3k points