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If a satellite is moving in a circular orbit, what is the relationship between i

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Question: If a satellite is moving in a circular orbit, what is the relationship between its centripetal acceleration and gravitational acceleration?

Options:

  1. Centripetal = Gravitational
  2. Centripetal > Gravitational
  3. Centripetal < Gravitational
  4. No relationship

Correct Answer: Centripetal = Gravitational

Solution: 

For a satellite in a stable circular orbit, the centripetal acceleration is equal to the gravitational acceleration.

If a satellite is moving in a circular orbit, what is the relationship between i

Practice Questions

Q1
If a satellite is moving in a circular orbit, what is the relationship between its centripetal acceleration and gravitational acceleration?
  1. Centripetal = Gravitational
  2. Centripetal > Gravitational
  3. Centripetal < Gravitational
  4. No relationship

Questions & Step-by-Step Solutions

If a satellite is moving in a circular orbit, what is the relationship between its centripetal acceleration and gravitational acceleration?
  • Step 1: Understand that a satellite in orbit is moving in a circular path.
  • Step 2: Know that centripetal acceleration is the acceleration that keeps the satellite moving in that circular path.
  • Step 3: Recognize that gravitational acceleration is the force that pulls the satellite towards the planet it is orbiting.
  • Step 4: Realize that for a satellite to stay in a stable orbit, the gravitational force must provide the exact amount of centripetal acceleration needed to keep it moving in a circle.
  • Step 5: Conclude that in a stable circular orbit, the centripetal acceleration (which keeps the satellite in orbit) is equal to the gravitational acceleration (which pulls it towards the planet).
  • Centripetal Acceleration – The acceleration directed towards the center of a circular path, necessary for an object to maintain its circular motion.
  • Gravitational Acceleration – The acceleration experienced by an object due to the gravitational force acting on it, which varies with distance from the mass causing the gravitational field.
  • Orbital Mechanics – The study of the motion of objects in space, particularly how gravitational forces affect the trajectories of satellites and other celestial bodies.
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