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13 November, 20:37

An astronaut has a mass of 82.0 kg. What is the astronaut's stationary weight at a position 4230 kilometers above Earth's surface? Note: Earth's radius is 6380 km.

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  1. 13 November, 22:12
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    The acceleration of gravity is inversely proportional to the square of

    the distance from the Earth's center. So out where the astronaut is,

    the value of gravity will be

    (9.81 m/s²) · (4230/6380) ² = about 4.31 m/s².

    No matter where she is, her weight is always

    (mass) x (gravity in that place)

    = (82 kg) x (4.31 m/s²) = 353.6 Newtons
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