The gravitational potential at a point above the surface of Earth is -5.12 × 10⁷ J/kg and the acceleration due…

Question

The gravitational potential at a point above the surface of Earth is $-5.12 \times 10^7 \, \text{J/kg}$ and the acceleration due to gravity at that point is $6.4 \, \text{m/s}^2$ . Assume that the mean radius of Earth to be $6400 \, \text{km}$ . The height of this point above the Earth’s surface is:

A
$1600 \, \text{km}$
B
$540 \, \text{km}$
C
$1200 \, \text{km}$
D
$1000 \, \text{km}$

Accepted Answer

A. **$$1600 \, 	ext{km}$$**

Answer

B. **$$540 \, 	ext{km}$$**

Answer

C. **$$1200 \, 	ext{km}$$**

Answer

D. **$$1000 \, 	ext{km}$$**

Answer & step-by-step solution

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