Question
Orbits of Satellites Quick Check
3 of 33 of 3 Items
Question
Which factor is not needed when calculating the velocity of a satellite orbiting a planet?(1 point)
Responses
the mass of the satellite
the mass of the satellite
the universal gravitational constant
the universal gravitational constant
the mass of the planet
the mass of the planet
the orbital radius of the satellite
the orbital radius of the satellite
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Answers
GPT-4o mini
When calculating the velocity of a satellite orbiting a planet, the factor that is **not needed** is **the mass of the satellite**.
The formula for the orbital velocity \( v \) of a satellite is given by:
\[
v = \sqrt{\frac{G \cdot M}{r}}
\]
where:
- \( G \) is the universal gravitational constant,
- \( M \) is the mass of the planet,
- \( r \) is the orbital radius (distance from the center of the planet to the satellite).
As you can see, the mass of the satellite does not appear in this equation, so it is not needed for the calculation of orbital velocity.
The formula for the orbital velocity \( v \) of a satellite is given by:
\[
v = \sqrt{\frac{G \cdot M}{r}}
\]
where:
- \( G \) is the universal gravitational constant,
- \( M \) is the mass of the planet,
- \( r \) is the orbital radius (distance from the center of the planet to the satellite).
As you can see, the mass of the satellite does not appear in this equation, so it is not needed for the calculation of orbital velocity.
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