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21 July, 12:56

The gravitational force of a star on an orbiting planet 1 is F1. Planet 2, which is three times as massive as planet 1 and orbits at twice the distance from the star, experiences gravitational force F2.?

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  1. 21 July, 15:43
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    F_1 / F_2 = 4 / 3

    Explanation:

    Given:

    - Planet 1:-

    mass = m

    orbit = R

    - Planet 2:-

    mass = 3m

    orbit = 2R

    - Mass of star = M

    Find:

    - The ratio of gravitational forces F_1 / F_2?

    Solution:

    - The force of attraction between star and planet 1 is given by:

    F_1 = G * (m) * (M) / R^2

    - The force of attraction between star and planet 2 is given by:

    F_2 = G * (3m) * (M) / (2R) ^2

    - the ratio of the two forces is:

    F_1 / F_2 = [G * (m) * (M) / R^2] / [G * (3m) * (M) / (2R) ^2 ]

    F_1 / F_2 = 4 / 3
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