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What is the difference between the astronaut's mass on the earth and on the moon?


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There is no difference in an astronaut's mass no matter where he or she might be. Mass is a constant, as opposed to weight which is dependent upon acceleration.

Put simply. Mass is a measurement of how much matter is in an object, whereas weight is a measurement of how hard gravity is pulling on that object. As their is less gravity on the moon, your weight would be different, your mass would not.