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A satellite is in a circular orbit around the Earth. If its speed is doubled, wh

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Question: A satellite is in a circular orbit around the Earth. If its speed is doubled, what happens to the radius of its orbit?

Options:

  1. It remains the same
  2. It doubles
  3. It increases by a factor of four
  4. It decreases by a factor of four

Correct Answer: It decreases by a factor of four

Solution: 

If the speed of a satellite is doubled, the radius of its orbit decreases by a factor of four due to the relationship between speed and radius in circular motion.

A satellite is in a circular orbit around the Earth. If its speed is doubled, wh

Practice Questions

Q1
A satellite is in a circular orbit around the Earth. If its speed is doubled, what happens to the radius of its orbit?
  1. It remains the same
  2. It doubles
  3. It increases by a factor of four
  4. It decreases by a factor of four

Questions & Step-by-Step Solutions

A satellite is in a circular orbit around the Earth. If its speed is doubled, what happens to the radius of its orbit?
  • Step 1: Understand that a satellite in orbit moves in a circular path around the Earth.
  • Step 2: Know that the speed of the satellite is related to the radius of its orbit.
  • Step 3: Recall the formula for circular motion: the speed (v) of a satellite is related to the radius (r) and the gravitational force.
  • Step 4: When the speed of the satellite is doubled, we can express this as 2v.
  • Step 5: According to the formula, if the speed increases, the radius must decrease to maintain the balance of forces.
  • Step 6: The relationship shows that if the speed is doubled, the radius decreases by a factor of four (r becomes r/4).
  • Step 7: Conclude that doubling the speed of the satellite results in a smaller orbit.
  • Circular Motion and Orbital Mechanics – The relationship between the speed of a satellite and the radius of its orbit, governed by gravitational forces and centripetal acceleration.
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