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24 June, 16:58

A hypothetical planet has a mass of half that of the Earth and approximately the same radius. What is the acceleration due to gravity on the planet in terms of the acceleration on the Earth?

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  1. 24 June, 17:27
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    g/2

    Explanation:

    Acceleration due to gravity at the surface of a planet is:

    g = GM / r²

    where G is the universal gravitational constant,

    M is the mass of the planet,

    r is the radius of the planet.

    If a planet has half the mass and the same radius, then:

    a = G (M/2) / r²

    a = g/2

    The acceleration due to gravity on the planet is half the acceleration on Earth.
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