![]() The value of g is maximum at the surface of the earth. So, we find that acceleration due to gravity decreases as we move above or below the surface of the earth. This shows that as we go deep into the center of the earth, the value of g decreases continuously and at the center of the earth it becomes zero. This expression shows that the value of g decreases as we the depth ‘d’ increases. Now, putting the mass of earth in equation we get ![]() Now, acceleration due to gravity below the surface of the earth is If we consider earth as homogenous then the effective mass attracting the object is The only mass attracting the object will be the volume of sphere having radius (R-d). In this situation, the whole mass of the earth will not attract the object. Then in this condition, the distance of the object from the center of the earth is (R-d). Let us assume that an object is d depth below the surface of the earth. Variation of g below the surface of the Earth Hence acceleration due to gravity decreases as the height increases.įor more approximation lets say that height of body (h) is far far less than radius of earth (R) and using binomial expansion we get Therefore the acceleration due to gravity at this point is given by the equationĪcceleration due to gravity at the surface of the earth isįrom this we can say that will be greater than and this will lead to a conclusion that. Now the distance of the object from the center of the earth is (R+h). Let us put a body at the height h above the surface of the earth. Variation of g above the surface of the Earth Even from above equation we can tell that as the body moves above or below the surface of the earth, the value of g changes. But we have to remember that the value of g changes with R and some other factors which we will discuss below. ![]() The value of g at the surface of the earth is given by the equation and its average value on the surface of the earth is about.
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