Two satellites of masses "3M" and "M" orbit the earth in a circular orbit of radius Y and "3r" respectively, the ratio of their speed is:
Correct answer: B. Square root of 3 :1
- A. 1:1
- B. Square root of 3 :1
- C. 3:1
- D. 9:1
Explanation
To move in a circular orbit, gravitational force provides centripetal force. Gravitational force between the two is the same as it is a mutual force. For the same reason, distance between the satellites is the same so speed does not depend on radius.
This question appeared on the ETEA MDCAT 2019 paper, which you can sit online with every answer explained.
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About Satellite Motion and Orbital Velocity
Satellite motion uses gravitational force as the centripetal force required for circular orbit, giving relationships among orbital radius, period and orbital velocity. Questions cover geostationary conditions and weightlessness, while distinguishing orbital velocity, escape velocity and the satellite's tangential speed.
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