4) Use your free body diagram and the idea of centripetal acceleration to identify the mistake in each student's statement: Student 1: "The Moon is in space. Therefore, there cannot be any forces on the moon. That is why the moon stays up in the sky instead of crashing into the Earth." Student 2: "There should be two forces on the Moon: a gravity force toward the Earth and a centrifugal force pointing away from the Earth. Because these two forces are balanced the Moon does not crash into the Earth. Student 3: "There should only be one force on the Moon- the force of gravity toward the Earth. However, because the Moon is so far away, the force of gravity is too weak to move that much mass, that is why the Moon does not crash into the Earth."

College Physics
11th Edition
ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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Sure! Here is the transcription of the provided image:

---

Feel free to use the following data to complete your calculations:

\[
G = 6.67 \times 10^{-11} \frac{Nm^2}{kg^2}
\]

\[
M_{Sun} = 1.989 \times 10^{30} \, kg
\]

**Moon:**

- \( T_{moon\ around\ Earth} = 27.3 \, days \)
- \( M_{moon} = 7.34 \times 10^{22} \, kg \)
- \( r_{Moon\ to\ Earth} = 3.84 \times 10^{8} \, m \)
- \( r_{Moon\ center\ to\ Moon\ surface} = 1.74 \times 10^{6} \, m \)

**Earth:**

- \( T_{Earth\ around\ Sun} = 365.25 \, days \)
- \( M_{Earth} = 5.97 \times 10^{24} \, kg \)
- \( r_{Earth\ to\ Moon} = 3.84 \times 10^{8} \, m \)
- \( r_{Earth\ center\ to\ Earth\ surface} = 6.37 \times 10^{6} \, m \)

---

The image does not contain any graphs or diagrams.
Transcribed Image Text:Sure! Here is the transcription of the provided image: --- Feel free to use the following data to complete your calculations: \[ G = 6.67 \times 10^{-11} \frac{Nm^2}{kg^2} \] \[ M_{Sun} = 1.989 \times 10^{30} \, kg \] **Moon:** - \( T_{moon\ around\ Earth} = 27.3 \, days \) - \( M_{moon} = 7.34 \times 10^{22} \, kg \) - \( r_{Moon\ to\ Earth} = 3.84 \times 10^{8} \, m \) - \( r_{Moon\ center\ to\ Moon\ surface} = 1.74 \times 10^{6} \, m \) **Earth:** - \( T_{Earth\ around\ Sun} = 365.25 \, days \) - \( M_{Earth} = 5.97 \times 10^{24} \, kg \) - \( r_{Earth\ to\ Moon} = 3.84 \times 10^{8} \, m \) - \( r_{Earth\ center\ to\ Earth\ surface} = 6.37 \times 10^{6} \, m \) --- The image does not contain any graphs or diagrams.
**Question:**

Use your free body diagram and the idea of centripetal acceleration to identify the mistake in each student’s statement:

**Student 1:**  
“The Moon is in space. Therefore, there cannot be any forces on the moon. That is why the moon stays up in the sky instead of crashing into the Earth.”

**Student 2:**  
“There should be two forces on the Moon: a gravity force toward the Earth and a centrifugal force pointing away from the Earth. Because these two forces are balanced, the Moon does not crash into the Earth.”

**Student 3:**  
“There should only be one force on the Moon—the force of gravity toward the Earth. However, because the Moon is so far away, the force of gravity is too weak to move that much mass, that is why the Moon does not crash into the Earth.”
Transcribed Image Text:**Question:** Use your free body diagram and the idea of centripetal acceleration to identify the mistake in each student’s statement: **Student 1:** “The Moon is in space. Therefore, there cannot be any forces on the moon. That is why the moon stays up in the sky instead of crashing into the Earth.” **Student 2:** “There should be two forces on the Moon: a gravity force toward the Earth and a centrifugal force pointing away from the Earth. Because these two forces are balanced, the Moon does not crash into the Earth.” **Student 3:** “There should only be one force on the Moon—the force of gravity toward the Earth. However, because the Moon is so far away, the force of gravity is too weak to move that much mass, that is why the Moon does not crash into the Earth.”
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