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)`)

Explanation

the mass ofhte earth ,`M=6xx10^(24)`kg
the mass of the moon ,
`m=7.4xx10^(22)`
the distance between the earth and the moon,
`d=3.84xx10^(5) km`
`=3.84xx10^(5)xx1000m`
`=3.84xx10^(8)m`
`G=6.7xx10^(-11) Nm^(2) kg^(-2)`
From Eq . (10.4) ,the force exerted by the earth on the moon is
`F=G(Mxxm)/(d^(2))`
`=(6.7xx10^(-11) Nm^(2) kg^(-2) xx6xx10^(24)kg xx7.4xx10^(22)kg)/((3.84xx10^(8)m)^(2))`
`=2.02xx10^(20)`N.
Rhus the force exerted by the earth on the moon is `2.02xx10^(20)` N.