Two planets, planet A and planet B, have the same surface gravity. However, planet B has twice the radius of planet A. How does the mass of planet B compare to the mass of planet A?

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**Question:**  
Two planets, planet A and planet B, have the same surface gravity. However, planet B has twice the radius of planet A. How does the mass of planet B compare to the mass of planet A?

**Answer Choices:**  
- ○ The mass of planet B is four times the mass of planet A.
- ○ The mass of planet B is equal to the mass of planet A.
- ○ The mass of planet B is one-half the mass of planet A.
- ○ The mass of planet B is twice the mass of planet A.
- ○ The mass of planet B is one-fourth the mass of planet A.
Transcribed Image Text:**Question:** Two planets, planet A and planet B, have the same surface gravity. However, planet B has twice the radius of planet A. How does the mass of planet B compare to the mass of planet A? **Answer Choices:** - ○ The mass of planet B is four times the mass of planet A. - ○ The mass of planet B is equal to the mass of planet A. - ○ The mass of planet B is one-half the mass of planet A. - ○ The mass of planet B is twice the mass of planet A. - ○ The mass of planet B is one-fourth the mass of planet A.
In this educational exercise, a question is posed regarding the orbital period of a newly discovered planet in the galaxy Andromeda. The problem states:

"A planet is discovered orbiting around a star in the galaxy Andromeda at the same distance from the star as Earth is from the Sun. If that star has four times the mass of our Sun, how does the orbital period of the planet compare to Earth's orbital period?"

Below the question, multiple-choice options are listed, offering possible answers:

- The planet’s orbital period will be four times Earth’s orbital period.
- The planet’s orbital period will be equal to Earth’s orbital period.
- The planet’s orbital period will be twice Earth’s orbital period.
- The planet’s orbital period will be one-fourth Earth’s orbital period.
- The planet’s orbital period will be one-half Earth’s orbital period.

This problem emphasizes understanding the relationship between a star's mass and the orbital period of a planet that orbits it at a given distance, highlighting concepts such as gravitational influence and orbital mechanics.
Transcribed Image Text:In this educational exercise, a question is posed regarding the orbital period of a newly discovered planet in the galaxy Andromeda. The problem states: "A planet is discovered orbiting around a star in the galaxy Andromeda at the same distance from the star as Earth is from the Sun. If that star has four times the mass of our Sun, how does the orbital period of the planet compare to Earth's orbital period?" Below the question, multiple-choice options are listed, offering possible answers: - The planet’s orbital period will be four times Earth’s orbital period. - The planet’s orbital period will be equal to Earth’s orbital period. - The planet’s orbital period will be twice Earth’s orbital period. - The planet’s orbital period will be one-fourth Earth’s orbital period. - The planet’s orbital period will be one-half Earth’s orbital period. This problem emphasizes understanding the relationship between a star's mass and the orbital period of a planet that orbits it at a given distance, highlighting concepts such as gravitational influence and orbital mechanics.
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