Question

The base of a mountain is at sea level where the gravitational field strength is 9.810N/kg. The value of the gravitational field strength at the top of the mountain is 9.790N/kg. Calculate the height of the mountain above the sea level.

Answer 1

Answer

gravitational field strength at height h

$g_h=g_s(1-\frac{h}{2R})$

So height can be written as

$h=2R(1-\frac{g_h}{g_s})$

$h=2\times6400000\times(1-\frac{9.79}{9.810})$

h=26.1Km