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How the acceleration due to gravity …

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How the acceleration due to gravity (g) vary on and above earth's surface?

    • Posted by Aakriti Rustagi 5 years ago

    CBSE > Class 10 > Science
    • 1 answers

    Yogita Ingle 5 years ago

    Acceleration due to gravity above the surface of earth

    • To calculate the value of acceleration due to gravity of a point mass m at a height h above thesurface of the earth.

     

    Above figure shows the value ofacceleration due to gravity g at a height h above the surface of the earth.

    • Force of gravitation between the object and the earth will be
    • F= G mMe/(Re+h)2  where
    • m = mass of the object, Re = radius of the earth
    • g(h) = F/m = GMe/(Re+h)2 = GMe/[Re2(1+h/Re)2]
    • h << Re (as radius of the earth is very large)
    • By calculating we will get,

    g(h) = g(1-2h/Re)

    • Conclusion: -The value of acceleration due to gravity varies on the surface, above the surface and below the surface of the earth.

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