Q. 124.3( 6 Votes )

# The geostationary orbit of the earth is at a distance of about 36000 km from the earth's surface. Find the weight of a 120-kg equipment placed in a geostationary satellite. The radius of the earth is 6400 km.

Answer :

Given

The radius of the earth = 6400 km.

weight of equipment = 120-kg

Also, the geostationary orbit of the earth is at a distance of about 36000 km from the earth's surface.

We know that the value acceleration due to gravity above the surface of the Earth is given by-

Where,

G= universal gravitational constant

m = mass of the object

R= radius of the earth and

h = height from surface of earth

Substituting the values and calculating g’ for h = 36000km, we will get

At surface of earth, acceleration due to gravity is 9.8 m/s^{2}

Taking their ratios

Now, the required satellite weight will be-

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