Gravitation

Question : 22

Total: 25

As you have learnt in the text, a geostationary satellite orbits the earth at a height of nearly 36,000 km from the surface of the earth. What is the potential due to earth’s gravity at the site of this satellite? (Take the potential energy at infinityto be zero).
Mass of the earth =6.0×1024 kg, radius = 6400 km.

Solution:

Gravitational potential at height h from the surface of earth is
V=−

(R+h)

−6.67×10−11×(6×1024)

(6.4×106+36×106)

=−9.4×106Jkg−1

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