If you stood on a planet with four times the mass of Earth, and twice Earth's radius, how much would you weigh? If you stood on a planet with four times the mass of Earth, and twice Earth's radius, how much would you weigh? Four times your weight on Earth. Twice your weight on Earth. The same as on Earth. One-half your weight on Earth. One-fourth your weight on Earth.

One-fourth your weight on Earth.

Explanation:

If the mass of the earth is taken as M and the radius of the earth is R and that f the gravitational force is GM/ R square then the mass of the planet will be 4M and the radius of the planet will be 4R. The gravitational force of the planet will be 64M / (4 R) square this will equal to 64M / 16 R. Thus the G force will be 1/ 4 G force of the earth and thus this weight will be 1/4 that of the earth weight.

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