Prove that the acceleration due to gravity is independent to the mass of the falling body ​

Question

Prove that the acceleration due to gravity is independent to
the mass of the falling body
​

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Minh Khuê 5 years 2021-08-26T19:05:03+00:00 1 Answers 138 views 0

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  1. King
    0
    2021-08-26T19:06:51+00:00
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    Answer:

    The force of gravity on an object increases with its mass; thus, the acceleration of gravity is constant.

    Explanation:

    one can prove this by plugging in values to Newton’s 2nd law equation

    F = ma, or by using the formula to calculate the force of gravity.

    Force of Gravity = GMm/r^2

    with G being the gravitational constant, M the mass of the earth, m the mass of the falling body, and r the distance from the earth’s center.

    Force of Gravity can be written as mg, with g being the acceleration due to gravity.

    As we can see, m cancels on both sides, leaving

    g = GM/r^2

    Generally in physics problems, r will be treated as constant to achieve

    g = 9.8m/s^2

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