The mass of the earth is `6 × 10^(24)` kg and that of the moon is` 7.4 xx 10^(22)` kg. If the distance between the earth and the moon is `3.84xx10^(5)` km, calculate the force exerted by the earth on the moon. (Take G `= 6.7 xx 10^(–11) N m^(2) kg^(-2)`)

Answer

`2.02 xx 10^(20)N`

Explanation

Here, mass of Earth, `m_(1)=6xx10^(24)` kg , mass of Moon, `m_(2)=7.4xx10^(22)`kg
distance between earth and moon, `r=3.84xx10^(5) km =3.84xx10^(8)m`
force exerted by earth on moon, `F=? G=6.7XX10^(-11) Nm^(2)//kg^(2)`
Thus, `F=(Gm_(1)m_(2))/r^(2)=((6.7xx10^(-11)xx6xx10^(24))xx(7.4xx10^(22)))/(3.84xx10^(8))^(2)=2.02xx10^(20)N`