In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 1.50×1016 kg and a radius of 9.00

Question

In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 1.50×1016 kg and a radius of 9.00 km .What is the speed of a satellite orbiting 4.60 km above the surface?

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Helga 1 day 2021-07-22T06:24:56+00:00 1 Answers 0 views 0

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    2021-07-22T06:26:11+00:00

    Answer:

    8.58 m/s.

    Explanation:

    Given,

    Mass of the asteroid,M = 1.50 x 10¹⁶ Kg

    radius = 9 Km

    distance of the satellite, r = 4.60 Km

    Speed of the satellite  = ?

    R = 9 + 4.60 = 13.60 Km

    Speed of the satellite rotating in orbit

    v = \sqrt{\dfrac{GM}{R}}

    G is gravitational constant

    v = \sqrt{\dfrac{6.67\times 10^{-11}\times 1.50\times 10^{16}}{13.60\times 10^3}}

    v = 8.58 m/s

    Speed of the satellite is equal to 8.58 m/s.

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