If you stood on a planet having a mass four times higher than Earth’s mass, and a radius two times 70) lon longer than Earth’s radius, you w

Question

If you stood on a planet having a mass four times higher than Earth’s mass, and a radius two times 70) lon longer than Earth’s radius, you would weigh:________
A) four times more than you do on Earth.
B) two times less than you do on Earth.
C) the same as you do on Earth
D) two times more than you do on Earth.

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Sapo 4 years 2021-08-11T06:31:01+00:00 1 Answers 95 views 0

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  1. thachthao
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    2021-08-11T06:32:36+00:00
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    CHECK COMPLETE QUESTION BELOW

    you stood on a planet having a mass four times that of earth mass and a radius two times of earth radius , you would weigh?

    A) four times more than you do on Earth.

    B) two times less than you do on Earth.

    C) the same as you do on Earth

    D) two times more than you do on Earth

    Answer:

    OPTION C is correct

    The same as you do on Earth

    Explanation :

    According to law of gravitation :

    F=GMm/R^2……(a)

    F= mg…..(b)

    M= mass of earth

    m = mass of the person

    R = radius of the earth

    From law of motion

    Put equation b into equation a

    mg=GMm/R^2

    g=GMm/R^2

    g=GM/R^2

    We know from question a planet having a mass four times that of earth mass and a radius two times of earth radius if we substitute we have

    m= 4M

    r=(2R)^2=4R^2

    g= G4M/4R^2

    Then, 4in the denominator will cancel out the numerator we have

    g= GM/R^2

    Therefore, g remain the same

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