The masses of the earth and moon are ` 6 xx 10^(24) kg and 7.4 xx 10^(22)` kg , respectively , The distance between them is `3.84 xx 10^(5)` km. Calculate the gravitational force of attraction between the two. Use ` G = 6.7 xx 10^(-11) N.m^(2) kg^(-2)`

Explanation

Data : `m_(1)=6xx10^(24)kg,`
`m_(2)=7.4xx10^(22)kg, r=3.84xx10^(5)km=3.84xx10^(8)m,`
`G=6.7xx10^(-11)N.m^(2)kg^(-2), F=?`
`F=(Gm_(1)m_(2))/(r^(2))`
`=(6.7xx10^(-11)N.m^(2)kg^(-2)xx6xx10^(24)kgxx7.4xx10^(22)kg)/((3.84xx10^(8)m)^(2))`
`=(6.7xx6xx7.4xx10^(35))/(3.84xx3.84xx10^(16))N=2.017xx10^(20)`
This is (the magnitude of ) the gravitational force between the earth the monn.