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At what height from the surface of earth the gravitational potential and the value of g are -5.4 × 10⁷ J kg⁻¹ and 6.0 m s⁻² respectively? Take the radius of earth as 6400 km.
- 2600 km
- 1600 km
- 1400 km
- 2000 km
Correct answer: 2000 km
Solution
The gravitational potential is given by V = -GM/(R+h), and g is given by g = GM/(R+h)^2. Using these equations and the given values, we solve for h. Substituting the values, we find h = 2000 km.
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