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)=6xx10^(24)kg,`
`r=1.5xx10^(11)m, F=3.5xx10^(22)N,`
`G=6.7xx10^(-11)N.m^(2)kg^(-2), m_(2)=?`
`F=(Gm_(1)m_(2))/(r^(2))`
`therefore m_(2)=(Fr^(2))/(Gm_(1))=(3.5xx10^(22)Nxx(1.5xx10^(11)m)^(2))/(6.7xx10^(-11)N.m^(2)kg^(-2)xx6xx10^(24)kg)`
`=(3.5xx1.5xx1.5xx10^(44))/(6.7xx6xx10^(13))kg`
`=1.96xx10^(30)"kg (mass of the Sun)."`