So the value of g is maximum at the surface of the earth. Therefore, the value of g decreases with increasing depth, but at the Centre of the earth, it becomes equal to zero. Variation of g with Depth: The value of g is inversely proportional to the depth below the earth’s surface but directly proportional to the mass of the earth.Variation of g with Height: The value of g is inverse to the height above the earth’s surface therefore, it decreases with increasing height.There are various facts that affect the value of g, that are: ⇒ g = GM / r2 Factor affecting the value of Acceleration due to Gravity Since the height is negligibly small compared to the radius of the earth, rearrange the above expression as, Where F is the force between two bodies, G is the universal gravitational constant, m is the mass of the object, M is the mass of the earth, r is the radius of the earth, and h is the height above the surface of the earth. Where F is the force acting, g is the acceleration due to gravity, m is the mass of the body.Īnd according to the universal law of gravitation, We know that the force on anybody is given by, Gravity is also inversely proportional to the distance between two objects.That is, an increase in mass causes an increase in gravitational attraction. There is also a direct link between the object’s mass and gravity.Stars and the sun, for example, have higher g. The stronger the attraction, the more matter there is. Matter and gravity have a direct relationship, which means that matter is directly proportionate to gravity.Gravity is largely influenced by the following factors: #Gravity acceleration freeAs a result, for every second that an item is in free fall, its speed rises by approximately 9.8 m/s2. The acceleration of gravity at the Earth’s surface is approximately 9.8 m/s2. Gravity is measured by the acceleration or movement it imparts on freely falling objects. It may be thought of as the driving force that holds everything together. Gravity is the universal force of attraction that exists between all things or matter in the universe. Solved Examples on Variation in Acceleration due to Gravity.Variation of g due to Rotation of Earth.Variation of g due to Shape of the Earth.Factor affecting the value of Acceleration due to Gravity.On the other hand, concerning the last reason, I think but I am not sure, the uncertainty of the mass of the Earth could be reduced if it were calculated with the orbital period of a geostationary satellite as explained by evan_au (instead of the weight of a mass on the surface of the Earth) and then in the formula we would no longer have the value of g which varies everywhere on the surface of the Earth, in the formula, there would remain only the uncertainty of the value of G. If I understood correctly, the difference between my values and those I have seen regularly on the internet is explained because the GM/r² formula works for a spherical symmetric mass and does not work for a planet which is oblate like the Earth and also because the value of M does not represent the real value of the mass of the Earth because it is calculated from the value of g which varies at different places on the surface of the Earth.
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