At what height above the earth's surface the acceleration due to gravity will be 1/9 th of its value at the earth’s surface? Radius of earth is 6400 km.

Explanation

To find the height above the Earth's surface where the acceleration due to gravity is 1/9th of its value at the Earth's surface, we can follow these steps:

### Step 1: Understand the formula for acceleration due to gravity at a height
The acceleration due to gravity at a height \( h \) above the Earth's surface is given by the formula:
\[ g' = \frac{g}{(1 + \frac{h}{R})^2} \]
where:
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