Question

What is the true weight of an object in a geostationary satellite that weighted exactly 10.0N at the north pole?

Answer 1

The true weight of an object in a geostationary satellite that weighted exactly 10.0 N at the north pole is 0.23 N.

Solution:-

mg'

= mg / (1 + h/R)²

= 10 / (1 + 5.66)²

= 0.23 N.

Answer 2

Weight W1 at Poles = GMm/r² = 10.0 N,  
          where radius  r1 = 6,356 Km at the Poles

Radius of Geostationary orbit from center of Earth = r2 = 42,161 km
              r2/r1  ≈ 6.63

W2/W1 = r1² / r2²
W2 = 10 / (6.63)² = 0.227 Newtons