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