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The Moon has 1/80 Earth's mass but is also ~4 times smaller (i. standing on its surface you are about 4 times closer to the center than on the Earth)....

The Moon has 1/80 Earth's mass but is also ~4 times smaller (i.e. standing on its surface you are about 4 times closer to the center than on the Earth). Would your weight be more, less, or the same on the Moon? Explain the reasoning for your answer as completely as you can.  

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