Question

the radius and mass of a planet are two times that of the earth's value calculate the acceleration due to gravity on the surface of the planet​

Answer 1

Answer:

the earth value calculate the acceleration due to gravity on the surface of the planet the radius and mass of a planet are two times that of the earth s value calculate the planet.

Answer 2

The acceleration due to gravity is half of Earth's gravity at the surface.

Explanation:

Given data,

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

The mass of the planet is m = 2M

The radius of the planet, r = 2R

The acceleration due to gravity at the surface of Earth is given by the formula,

                               g = GM/R²

The acceleration due to gravity at the surface of Planet is

                               gₓ = Gm/r²

                                    = G2M/(2R)²

                                    = 2GM/4R²

                                    = ½ GM/R²

∴                                gₓ = ½ g

Hence, the acceleration due to gravity is half of Earth's gravity at the surface.