Find the magnitude of the gravitational force between the Sun and the earth. (Mass of the Sun `=2xx10^(30)`kg, mass of the earth `=6xx10^(24)kg` and the distance between the centres of the Sun and the earth `=1.5xx10^(11)m`,
`(G=6.67xx10^(-11)N.m^(2)//kg^(2))`

Explanation

Data : `m_(1)=2xx10^(30)kg,`
`m_(2)=6xx10^(24)kg, r=1.5xx10^(11)m`,
`G=6.67xx10^(-11)N.m^(2)//kg^(2), F=?`
`F=G(m_(1)m_(2))/(r^(2))`
`=(6.6.7xx10^(-11)N.m^(2)//kg^(2)xx2xx10^(30)kgxx6xx10^(24)kg)/((1.5xx10^(11)m)^(2))`
`=(6.67xx2xx6)/(1.5xx1.5)xx10^(21)N=35.57xx10^(21)N`
`therefore F=3.557xx10^(22)N`
The magnitude of the gravitational fornce between the Sun the earth `=3.557xx10^(22)N.`