Question

At what height from surface of the earth the value of acceleration dur to gravity will become half that on the surface of the earth re=6400km

Answer 1

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The acceleration due to gravity is inversely proportional to the square of radius. So the acceleration due to gravity will decrease as we go higher.

The formula of acceleration due to gravity

g=GM/r²

g on earth's surface=9.8m/s²

So half it's value is 4.9m/s²

By putting the values in the formula.

The final ans is approx 9038km from centre

So above the earth's surface it's is

9038–6400=2638km(approx)