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suppose that an object is dropped, not from the earth's surface, but from a height rearth above the earth's surface. with what acceleration will it start to fall? give your answers as a fraction of gearth

Sagot :

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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