First slide

Gravitaional potential energy

Question

A satellite appears to be at rest when seen from the equator of the earth. The height of the satellite from the surface of the earth is

Easy

A

36000 km
B

6400 km
C

40000 km
D

1000 km

Solution

The satellite must be a geostationary satellite.
Whose height is given by $\large h = \left (\frac{gR^2}{4\pi^2}\right)^{1/3}-R$
Putting g = 10 m/s² , R = 34 X 10⁵ m
and T = 86,400 sec
we get h = 36000 km

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