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

Given: `m_(1)=6x10^(24)kg`
`m_(2)=7.4xx10^(22)kg`
`r=3.84xx10^(5)km=3.84xx10^(8)m`
`G=6.7xx10^(-11)Nm^(2)//kg^(2)`
To find: `F=?`
Formula `F=(Gm_(1)m_(2))/(r^(2))`
Solution: `F=(6.7xx10^(-11)xx6x10^(24)xx7.4xx10^(22))/((3.84xx10^(8))^(2))`
`=(297.48xx10^(-11)xx10^(24)xx10^(22))/(14.74xx10^(16))`
`=(300xx10^(19))/15`
`=20xx10^(19)`
`F=2xx10^(20)N`
The gravitational force of attraction between Earth and Moon is `2xx10^(20)N`