At what height the acceleration due to gravity decreases by 36% of its value on the surface of the earth ?

Explanation

To solve the problem of finding the height at which the acceleration due to gravity decreases by 36% of its value on the surface of the Earth, we can follow these steps:

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