Two satellites of mass 'm' and '2m' are orbiting at same height. Which satellite will have more orbital velocity?

  1. mass m orbit has more orbital speed
  2. mass 2m orbit has more orbital speed
  3. both have the same orbital speed
  4. Can not be determined.

Answer (Detailed Solution Below)

Option 3 : both have the same orbital speed
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Detailed Solution

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CONCEPT:

  • When a satellite revolves around the earth, the satellite gets its centripetal force from the gravitational force.

The gravitational force on body = centripetal force

where m is the mass of the satellite, M is mass of earth, v is the orbital velocity of the satellite and R is the distance of the satellite from the center of the earth.

  • The orbital velocity of the satellite is free from its mass.


EXPLANATION:

The orbital velocity of a satellite is given by

Both the satellites are at the same radius of the orbit.

So both satellites have the same orbital velocity.

Hence the correct answer is option 3.

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