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27 February, 16:06

Calculate the earth's gravity force on a 65 kg astronaut who is repairing the hubble space telescope 600 km above the earth's surface

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  1. 27 February, 17:56
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    Let Fgrav=earth's gravity force (N) = asked,

    m1=mass of astronaut (kg) = 65kg,

    m2=mass of the earth (kg) = 5.98x10^24 kg,

    G=universal gravitation constant=6.673x10^-11 Nm^2/kg^2

    d1=distance from the surface of the earth to its center=6.38x10^6m

    d2=distance of the astronaut from the surface of the earth=600km=6x10^5m

    d=d1+d2, since the astronaut is above the surface of the earth

    d=6.38x10^6m + 6x10^5m=6,980,000m

    Working equation: Fgrav = (Gm1m2) / d^2

    Fgrav = (6.673x10^-11 Nm^2/kg^2) (65kg) (5.98x10^24 kg) / (6,980,000m) ^2

    Fgrav=532.38 N
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