Find the gravitational potential energy of a body of mass 10 kg when it is on the earth's surface. [M(earth) `=6xx10^(24)kg,"R (earth)"=6.4xx10^(6)m, G=6.67xx10^(-11)N.m^(2)//kg^(2)]`

Explanation

Data : `m=10kg, M=6xx10^(24)kg.`
`R=6.4xx10^(6)m, G=6.67xx10^(-11)N.m^(2)//kg^(2)`
The gravitational potential energy of the body
`=-(GMm)/(R)`
`=-(6.67xx10^(-11)N.m^(2)//kg^(2)xx6xx10^(24)kgxx10kg)/(6.4xx10^(6)m)`
`=-(6.67xx6)/(6.4)xx10^(8)J=-6.253xx10^(8)J.`