The mass of the earth is ` 6 xx 10^(24) kg.` The distance between the earth and the sun is ` 1.5 xx 10^(11)` m. If the gravitational force between the two is ` 3.5 xx 10^(22)` N, what is the mass of the Sun ? Use ` G = 6.7 xx 10^(-11) N.m^(2) kg^(-2)` gt

Explanation

Data ` m_(1) = 6xx 10^(24) kg, r= 1.5 xx 10^(11) m `
` F= 3.5 xx 10^(22) N, G = 6.7 xx 10^(-11) N.m^(2) kg^(-2) , m= ?`
`F = (Gm_(1)m_(2))/(r^(2))`
` m_(2) = (Fr^(2))/(Gm_(1)) = (3.5 xx 10^(22) N xx (1.5 xx 10^(11) m)^(2))/( 6.7 xx 10^(-11) N.m^(2)Kg^(-2) xx 6 xx 10^(24) kg)`
` 1.96 xx 10^(30)` kg ( mass of the sun )