Two satellites have their masses in the ratio 3:1. The radii of their circular orbits are in the ratio 1:4. What is the total mechanical energy of A and B?
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Solution refer to the attachment.
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Orbit speed of the satellite around the earth is
where,
G = Universal gravitational constant
M = Mass of earth
r = Radius of the orbit of the satellite
For satellite A
...(i)
For satellite B
...(ii)
Dividing equation (ii) by equation (i), we get
or
Substituting the given values, we get
or
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