What is the force of gravity acting on a 2000-kg spacecraft when it orbits two Earth radii from the Earth’s center (that is a distance r=638

Question

What is the force of gravity acting on a 2000-kg spacecraft when it orbits two Earth radii from the Earth’s center (that is a distance r=6380 km above the Earth’s Surface. The mass of the Earth is 5.98 x 1024 kg.

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Acacia 5 years 2021-08-14T23:34:47+00:00 1 Answers 191 views 0

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  1. King
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    2021-08-14T23:35:53+00:00
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    Answer:

    F = 4.816 × 10 ⁻¹⁰ N

    Explanation:

    mass of earth M = 5.98 × 10²⁴ m,  mass of the spacecraft m = 2000 kg,

    distance between the spacecraft and earth’s center

    r = 6380 × 10³m + 6.38  ×10⁶ m = 4.07 × 10¹³ m

    Formula for force of gravity is

    F= G M m / r²  

    F = 6.67 × 10⁻¹¹ Nm² /kg² × 5.98 × 10²⁴kg× 2000 kg / (4.07 × 10¹³ m)²

    F = 4.816 × 10 ⁻¹⁰ N

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