The mass of satellite 2 is twice the mass of satellite 1. Both the satellites are revolving the earth at a constant speed in circular orbits at a constant speed. Which satellite's speed is greater?
A
Satellite #1, by a factor of √2
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B
Satellite #1, by a factor of 2
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C
Satellite #2, by a factor of √2
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D
Satellite #2, by a factor of 2
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E
Neither; the satellite's speeds are the same
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Solution
The correct option is B Satellite #1, by a factor of √2 The speed of a satellite is given by vo=√GMr
where M is mass of earth
for satellite 2 vo=√GM2r
for satellite 1 v′o=√GMr
now by dividing the speed of satellite 1 by the speed of satellite 2
v′o=√2vo
it is clear that speed of satellite 1 is greater than satellite 2 by a factor of √2
the note-orbital velocity of a satellite does not depend upon its mass.