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To answer this question we need to know either the height of the Earth station above the Earth or the gravitational acceleration of gravity present at the Earth station initially.

Solving without these values:

(1/2)Gm/R2 = Gm/r2

where
G is the Gravitational Constant
m is the mass of the Earth
R is the radius of the Earth Station from the center of the Earth.
r is the radius of the satellite where gr=1/2ge

2R2 = r2

SQRT(2)R=r

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14y ago
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Q: A satellite is projected vertically from an Earth station at what height above the Earth's surface will the force of Earth's gravity on the satellite be only half its value at the earth station?
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