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3 November, 06:22

Suppose mass and radius of the planet are half and twice that of earth's respectively. If acceleration due to gravity of the earth is 10m/S2. Find acceleration due to gravity of that period

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  1. 3 November, 06:36
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    The acceleration due to gravity of that planet is, gₐ = 1.25 m/s²

    Explanation:

    Given that,

    Mass of the planet, m = 1/2M

    Radius of the planet, r = 2R

    Where M and R is the mass and radius of the Earth respectively.

    The acceleration due to gravity of Earth, g = 10 m/s²

    The acceleration due to gravity of Earth is given by the relation,

    g = GM/R²

    Similarly, the acceleration due to gravity of that planet is

    gₐ = Gm/r²

    where G is the Universal gravitational constant

    On substituting the values in the above equation

    gₐ = G (1/2 M) / 4 R²

    = GM/8R²

    = 1/8 (10 m/s²)

    = 1.25 m/s²

    Hence, the acceleration due to gravity of that planet is, gₐ = 1.25 m/s²
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