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If a satellite's altitude is doubled, how does its orbital speed change?
If a satellite's altitude is doubled, how does its orbital speed change?
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Practice Questions
1 question
Q1
If a satellite's altitude is doubled, how does its orbital speed change?
Increases by √2
Decreases by √2
Remains the same
Increases by 2
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If a satellite's altitude is doubled, its orbital speed decreases by √2.
Questions & Step-by-step Solutions
1 item
Q
Q: If a satellite's altitude is doubled, how does its orbital speed change?
Solution:
If a satellite's altitude is doubled, its orbital speed decreases by √2.
Steps: 7
Show Steps
Step 1: Understand that a satellite orbits a planet due to gravity.
Step 2: Know that the orbital speed of a satellite depends on its distance from the center of the planet.
Step 3: Recognize that altitude is the height above the planet's surface.
Step 4: If the altitude is doubled, the total distance from the center of the planet increases.
Step 5: Use the formula for orbital speed, which is related to the gravitational force and distance.
Step 6: Realize that when the distance is increased, the orbital speed decreases.
Step 7: Specifically, if the altitude is doubled, the new speed is reduced by a factor of √2.
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