At what height above the earth's surface does the acceleration due to gravity become one-fourth of its value on the surface? (R = 6400 km)
A. 6400 km
B. 3200 km
C. 12800 km
D. 1600 km
A. 6400 km
B. 3200 km
C. 12800 km
D. 1600 km
Best answer
Answer: A. 6400 km
\(\frac{g}{4}=\frac{g}{(1+h/R)^2}\Rightarrow1+\frac hR=2\Rightarrow h=R\).
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