1.

On a planet whose size is the same and mass four times as that of our earth, find the amount of work done to lift `3 kg` mass vertically upwards through `3 m` distance on the planet. The value of `g` on the surface of earth is `10 ms^(-2)`

Answer» Here `R_(P)=R_(e),M_(P)=4,M_(e)`
`M=3kg, h=em,g_(e)=10m//s^(2)`
On the surface of the earth
`g_(e)=(GM_(e))/(R_(e)^(2)`
On the surface of the planet
`g_(P)=(GM_()P)/(R_(P)^(2))=(G4M_(e))/(R_(e)^(2))=3(GM_(e))/(R^(2))=4g_(e)`
`g_(P)=4xx10=40m//s^(2)`
work done `=mg_(p)h=3xx40xx3=360J`


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