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Gravitational potential (V) and acceleration due to gravity (g) vary with height. Calculate the height h where g = GM/(R+h)².

1. 2600 km
2. 9000 km
3. 6400 km
4. 100 km

Correct answer: 6400 km

Solution

The formula for acceleration due to gravity at height h is g = GM/(R+h)². Setting this equal to g at the surface, GM/R², and solving for h gives h = R. Substituting Earth's radius R = 6400 km, we find h = 6400 km.

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