At what altitude will the acceleration due to gravity be 25%
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Secondary SchoolPhysics 13 points
At what altitudes in meter will the acceleration due to gravity be 25% of that at the earth's surface
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dkrahulverma19otw76i
dkrahulverma19otw76i
For this question,
We have the formula, g' = g/(1+h/R)^2
Here g' = acceleration due to gravity at the height
g = 9.8m/s^2
R = radius of earth
h = height
g/g' = (1+h/R)^2
4 = (1+h/R )^2
1+h/R = 2
h/R = 1
h = R
So at the height of 6371 km the value of g is 1/4 th of its original value
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6400 km
Therefore, at height 6400 km, the acceleration due to gravity is 25% of the acceleration due to gravity at the surface of the earth.
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