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A planet whose size is the same and mass...

A planet whose size is the same and mass `4` times as that of Earth, find the amount of energy needed to lift a `2 kg` mass vertically upwards through `2m` 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 4M)/(R^(2))`
So `g' = 4 g = 4 xx 10 = 40 ms^(-2)`
`:.` Energy needed `= mg' h = 2 xx 40 xx 2`
`= 160 J`
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Knowledge Check

  • On a planet (whose size is the same as that of earth and mass 4 times that of the earth ) the energy needed to lift a 2 kg mass vertically upwards through 2 m distance on the planet is (g = 10m// sec^(2) on surface of earth )

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    D
    320 J

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    A
    300 J
    B
    350 J
    C
    500 J
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    600 J

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