Calculate the gravitational acceleration of a satellite that is in orbit at a distance of 1.0 x 10^8 meters from the center of the Earth (Ma

Question

Calculate the gravitational acceleration of a satellite that is in orbit at a distance of 1.0 x 10^8 meters from the center of the Earth (Mass of Earth is 6.0 × 10^24).

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Nguyệt Ánh 4 years 2021-08-12T15:55:31+00:00 1 Answers 10 views 0

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  1. thaiduong
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    2021-08-12T15:56:58+00:00
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    Answer:

    g=0.035\ m/s^2

    Explanation:

    Given that,

    Mass of Earth, m=6\times 10^{24}\ kg

    We need to find the gravitational acceleration of a satellite that is in orbit at a distance of 10^8\ m from the center of the Earth.

    Radius of earth is 6,371 km

    The formula used to find the gravitational acceleration at a distance is given by :

    g=\dfrac{Gm}{R^2}

    R = r+d

    g=\dfrac{6.67\times 10^{-11}\times 6\times 10^{24}}{(10^8+6371\times 10^3)^2}\\\\g=0.035\ m/s^2

    So, the gravitational acceleration is 0.035\ m/s^2.

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