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you will use the formula g=GM/(r^2)

where g = gravity, G is the universal constant, M is mass, and r is the radius of the planet.

earths mass is about 5.937e24 kg

and radius is about 6.371e6 km keep in mind that the earth is not perfectly spherical so this is a mean.

the universal constant is 6.67e-11

now plug in the numbers

g=GM/r^2

g = 6.67e-11 (5.937e24*2) / ((6.371e6)*2)^2

g = 6.67e-11 (1.1874e25) / (1.2742e7)^2

g = 6.67e-11 (1.1874e25) / (1.6235e14)

g = 7.91996e14 / 1.62359e14

g = 4.87805 m/s^2 or half that of earths.

now you can do it on your own.

keep in mind that this is not perfect if you were to calculate with accuracy you would need to know the composition of the planet (the density and thickness of the crust and such)

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13y ago
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1mo ago

The astronaut's weight on the planet with twice the mass of Earth and twice the diameter would be the same as on Earth. Weight is determined by both the mass of the object and the gravitational pull, so even though the planet is larger and more massive, the astronaut's weight would not be affected.

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Q: An astronaut lands on a planet that has twice the mass of earth and twice the diameter how does the astronauts weight differ from that on earth?
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