Calculate the ratio of electric and gravitational force between two protons. Charge of each proton is `1.6 xx 10^(-19)C`, mass is `1.672 xx 10^(-27)` kg and `G = 6.67 xx 10^(-11) Nm^(-2)kg^(-2)`? 

Explanation

`Q_1 = 1.6 xx 10^(-19) C, Q_2 = 1.6 xx 10^(-19) C`
r is the distance between the two protons
Electrostatic force between two protons
`F_1 = 9 xx 10^(9) (Q_1Q_2)/(r^2) m_1 = m_2 = 1.672 xx 10^(-27) kg`
`G = 6.67 xx 10^(-11) Nm^(2)//kg^(2)`
Gravitational force between them
`F_2 = G(m_1 m_2)/(r^2) :. (F_1)/(F_2) = (9 xx 10^9 Q_1Q_2)/(G.m_1 m_2)`
`= (9 xx 10^(9) xx 1.6 xx 10^(-19) xx 1.6 xx 10^(-19))/(6.67 xx 10^(-11) xx 1.672 xx 10^(-27) xx 1.672 xx 10^(-27)) = 1.23 xx 10^(36)`