At what height above the surface of the earth will the acceleration due to gravity be one -fourth of its value on the surface of the earth (radius of the earth = R)
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Answer:
R height
Explanation:
At what height above the surface of the earth will the acceleration due to gravity be one -fourth of its value on the surface of the earth (radius of the earth = R)
g = g₀/(1 + h/R)²
g₀ = Gravity at erath Surface
h = Height above earth Surface
R = Radius of Earth
g₀/4 = g₀/(1 + h/R)²
=>(1 + h/R)² = 4
=> 1 + h/R = 2
=> h/R = 1
=> h = R
At R height above the surface of the earth the acceleration due to gravity will be one -fourth of its value on the surface of the earth
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