The ratio of the weight of a body at a height of \(\dfrac{R}{10}\) from the surface of the earth to that at a depth of \(\dfrac{R}{10}\) is \((R\) is radius of earth\()\)
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Use:
\[
g_h \approx g\left(1-\frac{2h}{R}\right), \qquad g_d=g\left(1-\frac{d}{R}\right)
\]
for small heights and depths.