I Review | Constants The solar system is 25,000 light years from the center of our Milky Way galaxy. One light year is the distance light travels in one year at a speed of 3.0 x 10°m/s. Astronomers have determined that the solar system is orbiting the center of the galaxy at a speed of 230 km/s. Assuming the orbit is circular, what is the period of the solar system's orbit? Give your answer in years. ? T = yr Submit Request Answer Part B Our solar system was formed roughly 5 billion years ago. How many orbits has it completed? ? N = orbits

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Chapter1: Units, Trigonometry. And Vectors
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i need help with questions A,B,C,D

**Educational Website Text Transcription**

**Context Information:**

The solar system is 25,000 light years from the center of our Milky Way galaxy. One light year is the distance light travels in one year at a speed of \(3.0 \times 10^8 \, \text{m/s}\). Astronomers have determined that the solar system is orbiting the center of the galaxy at a speed of 230 km/s.

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**Question:**

Assuming the orbit is circular, what is the period of the solar system’s orbit? Give your answer in years.

**Input Box for Answer:**

\[ T = \_\_\_\_ \, \text{yr} \]

[Submit] [Request Answer]

---

**Part B:**

**Question:**

Our solar system was formed roughly 5 billion years ago. How many orbits has it completed?

**Input Box for Answer:**

\[ N = \_\_\_\_ \, \text{orbits} \]

---

**Note:**

There are no graphs or diagrams included in the provided content.
Transcribed Image Text:**Educational Website Text Transcription** **Context Information:** The solar system is 25,000 light years from the center of our Milky Way galaxy. One light year is the distance light travels in one year at a speed of \(3.0 \times 10^8 \, \text{m/s}\). Astronomers have determined that the solar system is orbiting the center of the galaxy at a speed of 230 km/s. --- **Question:** Assuming the orbit is circular, what is the period of the solar system’s orbit? Give your answer in years. **Input Box for Answer:** \[ T = \_\_\_\_ \, \text{yr} \] [Submit] [Request Answer] --- **Part B:** **Question:** Our solar system was formed roughly 5 billion years ago. How many orbits has it completed? **Input Box for Answer:** \[ N = \_\_\_\_ \, \text{orbits} \] --- **Note:** There are no graphs or diagrams included in the provided content.
**Educational Content: Understanding the Milky Way**

**Galactic Dynamics and Mass Estimation**

**Overview:**

The solar system is located 25,000 light years away from the center of our Milky Way galaxy. To understand this distance, we need to know that one light year is the distance light travels in one year at a speed of \(3.0 \times 10^8 \, \text{m/s}\). It has been determined by astronomers that our solar system orbits the center of the galaxy at a speed of \(230 \, \text{km/s}\).

**Gravitational Forces and Galactic Mass (Part C):**

The gravitational force exerted on the solar system is the combined effect of all the matter within its orbit around the galaxy's center. Most of this mass is concentrated near the galactic center. Assuming this mass has a spherical distribution, similar to a giant star, we can estimate the mass of the galaxy's center.

**Interactive Exercise:**

The formula for estimating this mass, denoted as \( M \), is not provided, but learners are invited to conceptualize and submit their calculations to approximate the mass in kilograms \(\text{kg}\).

**Number of Stars and the Dark Matter Mystery (Part D):**

When estimating the number of stars at the galactic center, it is important to recognize that our sun is used as a reference for a typical star’s mass. Despite efforts by astronomers over the years, it is understood that only about 10% of the galactic mass is in observable stars. The remaining 90% appears to be in a form other than stars, commonly known as dark matter. The nature of dark matter remains one of the universe's great mysteries.

**Note:**

The exploration of dark matter has been a significant focus of astronomical research, aiming to resolve the apparent discrepancy between observable mass and gravitational effects in galaxies. 

**Learning Outcomes:**

- Understand light years as a measure of astronomical distance.
- Explore the concept of gravitational forces in galactic rotation.
- Discuss the significance of dark matter in current astronomical research.
Transcribed Image Text:**Educational Content: Understanding the Milky Way** **Galactic Dynamics and Mass Estimation** **Overview:** The solar system is located 25,000 light years away from the center of our Milky Way galaxy. To understand this distance, we need to know that one light year is the distance light travels in one year at a speed of \(3.0 \times 10^8 \, \text{m/s}\). It has been determined by astronomers that our solar system orbits the center of the galaxy at a speed of \(230 \, \text{km/s}\). **Gravitational Forces and Galactic Mass (Part C):** The gravitational force exerted on the solar system is the combined effect of all the matter within its orbit around the galaxy's center. Most of this mass is concentrated near the galactic center. Assuming this mass has a spherical distribution, similar to a giant star, we can estimate the mass of the galaxy's center. **Interactive Exercise:** The formula for estimating this mass, denoted as \( M \), is not provided, but learners are invited to conceptualize and submit their calculations to approximate the mass in kilograms \(\text{kg}\). **Number of Stars and the Dark Matter Mystery (Part D):** When estimating the number of stars at the galactic center, it is important to recognize that our sun is used as a reference for a typical star’s mass. Despite efforts by astronomers over the years, it is understood that only about 10% of the galactic mass is in observable stars. The remaining 90% appears to be in a form other than stars, commonly known as dark matter. The nature of dark matter remains one of the universe's great mysteries. **Note:** The exploration of dark matter has been a significant focus of astronomical research, aiming to resolve the apparent discrepancy between observable mass and gravitational effects in galaxies. **Learning Outcomes:** - Understand light years as a measure of astronomical distance. - Explore the concept of gravitational forces in galactic rotation. - Discuss the significance of dark matter in current astronomical research.
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