The acceleration of the object when it will start falling from the height above the earth is ( 1/9 ) gₓ.
Acceleration due to gravity from the height = gₙ
Acceleration due to gravity on earth = gₓ
Distance between the core of earth and the point at a height above earth = h
Radius of the earth = rₓ
Now, for h = rₓ
= Using the gravitational formula
= gₙ = gₓ ( rₓ / (rₓ + rₓ))²
= gₙ = ( 1/4 ) gₓ
Similarly for h = 2rₓ,
= gₙ = gₓ ( rₓ / (rₓ + rₓ))²
= gₙ = ( 1/9 ) gₓ
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