So all the bodies fall, in the vacuum, according to same acceleration has = G (law of Galileo (1564-1642)). For more details, to see freefall.
The mass m being expressed in kilogram (kg), the weight is a force and thus has like unit the newton (symbol NR), and acceleration G will be indifferently expressed in N/kg or m/s ².
The not-distinction between mass and weight lasts to the XIXe century, and perdure in the current language. For example: “the body mass of a person” is usually called her “weight”. It results a teaching difficulty from it, at the moment when this distinction is taught. The adoption of the International System (S.I.) made it possible thanks to the suppression of the unit kilogram-weight to partially solve this difficulty.
The acceleration of gravity G is the object of study of the Gravimétrie. It varies in any point of the Earth, primarily decreasing by the pole (9.83) at the equator (9.78). In France, one conventionally takes the value of G in Paris, that is to say approximately: G = 9.81 N/kg.
The concept of gravity spreads with other celestial bodies, in particular the Moon where gravity is approximately six times less than on Earth.
The concepts of apparent weight and weightlessness are related to the change of definition which had with the change of reference frame.
Knowing that the ray (R) of the Earth is equal to 6380 km and its mass (M) with kg, one can determine the value of the constant G which is exerted on an unspecified object of mass m :
It is pointed out that G is the universal constant of gravitation.
The weights , in Mathematical, is also the value which one allots to a symbol according to his place in a number.
The weight is also the affected coefficient or weighting at a point in a barycentre (in reference to physics where the barycentre calls upon the masses)
Simple: Weight Zh-min-nan: Tāng-liōng
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