g variation — numericalMediumQuestion 30745
Question
At what height above Earth's surface does g equal g/4? (R = 6400 km)
- A3200 km
- B6400 kmCorrect
- C12800 km
- D25600 km
Correct answer
6400 km
Explanation
g_h = g/(1+h/R)². g/4 = g/(1+h/R)² → (1+h/R)² = 4 → 1+h/R = 2 → h = R = 6400 km.