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On a planet whose size is the same and m...

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)`

Text Solution

Verified by Experts

On the earth, `g = (GM)/(R^(2))`,
On the planet, `g' = (G M)/(R^(2)) = (G xx 4M)/(R^(2)) = 4g`
`= 4 xx 10 = 40 ms^(-2)`
Energy needed `= mg' h = 3 xx 40 xx 3 = 360 J`
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