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Weight on Different Planets

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Suppose that you traveled to a planet with 4 times the mass and 4 times the diameter of the earth. Would you weigh more or less on that planet than on earth? By what factor?

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Weight on different planets is considered in this solution.

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The gravitational acceleration on a surface of a spherical mass with mass M and radius R is given by:

g = GM/R^2

where G is the universal gravitational constant.

When we increase the diameter by a ...

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