Find the value of 'g(i)' at a height of 100 km (ii) at height 6400 km from the surface of the earth. (Radius of the earth = 6400 km, g on the surface of the earth `= 9.8 ms^(-2)`.

Explanation

To find the value of acceleration due to gravity \( g \) at different heights above the Earth's surface, we can use the following formulas:

1. For heights much smaller than the Earth's radius (like 100 km), we can use the formula:
\[ g_h = g \left(1 - \frac{2h}{R}\right) \]
where:
- \( g_h \) = acceleration due to gravity at height \( h \)
...