Why don’t we feel the gravitational force of a large object such as a skyscraper semi-truck?

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Why don’t we feel the gravitational force of a large object such as a skyscraper semi-truck?

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Thanh Hà 4 years 2021-08-02T21:22:44+00:00 1 Answers 18 views 0

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  1. ngochoa
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    2021-08-02T21:23:51+00:00
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    Answer:

    Se the explanation below

    Explanation:

    We do not feel these forces of these bodies, because they are very small compared to the force of Earth’s attraction. Although its mass is greater than that of a human being, its mass is not compared to the Earth’s mass. In order to understand this problem we will use numerical data and the universal gravitation formula, to give validity to the explanation.

    Force exerted by the Earth on a human being

    F=G*\frac{m_{1}*m_{2}}{r^2}

    Where:

    G = universal gravitation constant = 6.673*10^-11 [N*m^2/kg^2]

    m1 = mass of the person = 80 [kg]

    m2 = mass of the earth 5.97*10^24[kg]

    r = distance from the center of the earth to the surface or earth radius = 6371 *10^3 [m]

    Now replacing we have

    F = 6.673*10^{-11} *\frac{80*5.97*10^{24}}{(6371*10^{3})^{2} } \\F = 785[N]

    Force exerted by a building on a human being

    Where:

    G = universal gravitation constant = 6.673*10^-11 [N*m^2/kg^2]

    m1 = mass of the person = 80 [kg]

    m2 = mass of the earth 300000 [ton] = 300 *10^6[kg]

    r = distance from the building to the person = 2[m]

    F = 6.673*10^{-11}*\frac{80*300*10^6}{2^{2} } \\F= 0.4 [N]

    As we can see the force exerted by the Earth is 2000 times greater than that exerted by a building with the proposed data.

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