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How the acceleration due to gravity (g) vary on and above earth\'s surface? |
| Answer» Acceleration due to gravity above the surface of earth\tTo calculate the value of acceleration due to gravity of a point mass m at a height h above thesurface of the earth.\xa0Above figure shows the value ofacceleration due to gravity g at a height h above the surface of the earth.\tForce of gravitation between the object and the earth will be\tF= G mMe/(Re+h)2 where\tm = mass of the object, Re\xa0= radius of the earth\tg(h) = F/m = GMe/(Re+h)2\xa0= GMe/[Re2(1+h/Re)2]\th << Re\xa0(as radius of the earth is very large)\tBy calculating we will get,g(h) = g(1-2h/Re)\tConclusion: -The value of acceleration due to gravity varies on the surface, above the surface and below the surface of the earth. | |