At what height from the surface of the earth will the acceleration due to gravity will fall to half?
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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)
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