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At what height above Earth's surface is g reduced to half its surface value?

AR/2
BR
CR(√2 - 1)
D2R
Answer & Solution
Correct answer: C. R(√2 - 1)
g' = g(R/(R+h))² = g/2 means (R+h)² = 2R², so R+h = R√2, hence h = R(√2 - 1) ≈ 0.414 R.
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