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Can Astronauts jump high on the moon because the moon has less mass than the earth?

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Can Astronauts jump high on the moon because the moon has less mass than the earth?

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A fully-equipped astronaut who weighs 270 pounds on Earth only weighs 45 pounds on the Moon. They must be careful though because their 123 kilogram mass is the same as on Earth, which means it is just as hard to speed up and just as hard to slow down; they must avoid the temptation to think that their reduced weight gives them reduced mass, which it doesn’t.

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