Question

Calculate the acceleration due to gravity on the surtace of a planet whose mass and radius are double than the mass and radius of the earth.​

Answer 1

Here, m = 2M

r = 2R

We know, g = Gm/r²

g’ = G×2M/(2R)²

g’ = G×M/2R² = 1/2g = 1/2 × 9.8 = 4.9m/s²

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Answer 2

Answer:

[0010001111]... Hello User... [1001010101]

Here's your answer...

Let the mass and radius of Earth be M and R respectively.

Then the mass and radius of the planet will be 2M and 2R

The formula for calculating acceleration due to gravity (g) is GM/R².

g (Earth) = GM/R²

g (planet) = G×2M/(2R)²

= 2GM/4R²

= ½ GM/R²

= ½ g (Earth)

Assuming g (Earth) as 9.8 m/s²,

g (planet) = 4.9 m/s²