Ms Q R Mp (b) How do the tangential speeds of planets B and C compare to that of Planet A? In a clear, coherent paragraph-length response that may also contain equations and/or drawings, provide claims about why the tangential speed of Planet B is either greater than, less than, or the same as that of Planet A, and why the tangential speed of Planet C is either greater than, less than, or the same as that of Planet A. MsQR System A System B Three different planet-star systems, which are far apart from one another, are shown above. The masses of the planets are much less than the masses of the stars. In System A, Planet A of mass M, orbits Star A of mass M, in a circular orbit of radius R. In System B, Planet B of mass 4Mp orbits Star B of mass M, in a circular orbit of radius R. In System C, Planet C of mass M₂ orbits Star C of mass 4M, in a circular orbit of radius R. 4Mp AMS System C R Mp

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question 2

This question is a short free-response question. Show your work for each part of the question.

Three different planet-star systems, which are far apart from one another, are shown above. The masses of the planets are much less than the masses of the stars.

In System A, Planet A of mass \( M_P \) orbits Star A of mass \( M_S \) in a circular orbit of radius \( R \).

In System B, Planet B of mass \( 4M_P \) orbits Star B of mass \( M_S \) in a circular orbit of radius \( R \).

In System C, Planet C of mass \( M_P \) orbits Star C of mass \( 4M_S \) in a circular orbit of radius \( R \).

(b) How do the tangential speeds of planets B and C compare to that of Planet A? In a clear, coherent paragraph-length response that may also contain equations and/or drawings, provide claims about why the tangential speed of Planet B is either greater than, less than, or the same as that of Planet A, and why the tangential speed of Planet C is either greater than, less than, or the same as that of Planet A.

**Diagram Analysis:**

The image depicts three separate planetary systems labeled as Systems A, B, and C. Each system features a central star encircled by a planet in a circular orbit:

- **System A:** Shows a planet of mass \( M_P \) orbiting a star of mass \( M_S \) at distance \( R \).
- **System B:** Illustrates a planet of mass \( 4M_P \) orbiting a star of the same mass \( M_S \) at the same distance \( R \).
- **System C:** Displays a planet of mass \( M_P \) orbiting a star of mass \( 4M_S \) also at distance \( R \). 

Each diagram includes directional arrows indicating the orbital paths and distances in the circular orbits.
Transcribed Image Text:Question 2 This question is a short free-response question. Show your work for each part of the question. Three different planet-star systems, which are far apart from one another, are shown above. The masses of the planets are much less than the masses of the stars. In System A, Planet A of mass \( M_P \) orbits Star A of mass \( M_S \) in a circular orbit of radius \( R \). In System B, Planet B of mass \( 4M_P \) orbits Star B of mass \( M_S \) in a circular orbit of radius \( R \). In System C, Planet C of mass \( M_P \) orbits Star C of mass \( 4M_S \) in a circular orbit of radius \( R \). (b) How do the tangential speeds of planets B and C compare to that of Planet A? In a clear, coherent paragraph-length response that may also contain equations and/or drawings, provide claims about why the tangential speed of Planet B is either greater than, less than, or the same as that of Planet A, and why the tangential speed of Planet C is either greater than, less than, or the same as that of Planet A. **Diagram Analysis:** The image depicts three separate planetary systems labeled as Systems A, B, and C. Each system features a central star encircled by a planet in a circular orbit: - **System A:** Shows a planet of mass \( M_P \) orbiting a star of mass \( M_S \) at distance \( R \). - **System B:** Illustrates a planet of mass \( 4M_P \) orbiting a star of the same mass \( M_S \) at the same distance \( R \). - **System C:** Displays a planet of mass \( M_P \) orbiting a star of mass \( 4M_S \) also at distance \( R \). Each diagram includes directional arrows indicating the orbital paths and distances in the circular orbits.
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