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Our lucky test subject has a mass of 90kg. The radius of the earth isRe is...

Our lucky test subject has a mass of 90kg. The radius of the earth isRe is 6, 371km. The mass of the earth is 5.97 × 1024kg, the mass of the moon is 7.3459 × 1022kg. The moon is orbiting ≈ 60Re away from the earth. (a) How much do they weigh at the surface of the earth (ignoring latitude)? (b) How much do they weigh at 10Re? What about 30Re (directly between the earth and the moon)? (c) Where would the test subject be weightless between the earth and the moon (this is called a Lagrange point).

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