IDNLearn.com: Your one-stop platform for getting reliable answers to any question. Find the answers you need quickly and accurately with help from our knowledgeable and dedicated community members.
Sagot :
To rewrite the distances between a star and three celestial objects in different, but equivalent, units, follow these steps:
### 1. Distance to Object A: 0.000001877 parsecs (pc)
- Convert parsecs to kilometers:
Using the conversion factor, [tex]\(1 \text{ pc} = 31 \times 10^{12} \text{ km}\)[/tex]:
[tex]\[ \text{Distance in km} = 0.000001877 \text{ pc} \times 31 \times 10^{12} \text{ km/pc} = 58187000.0 \text{ km} \][/tex]
- Convert parsecs to light-years:
Using the conversion factor, [tex]\(1 \text{ pc} = 3.262 \text{ light-years}\)[/tex]:
[tex]\[ \text{Distance in light-years} = 0.000001877 \text{ pc} \times 3.262 \text{ light-years/pc} = 6.122774 \times 10^{-6} \text{ light-years} \][/tex]
### 2. Distance to Object B: 30.06 Astronomical Units (AU)
- Convert AU to kilometers:
Using the conversion factor, [tex]\(1 \text{ AU} = 1.5 \times 10^{8} \text{ km}\)[/tex]:
[tex]\[ \text{Distance in km} = 30.06 \text{ AU} \times 1.5 \times 10^{8} \text{ km/AU} = 4509000000.0 \text{ km} \][/tex]
### 3. Distance to Object C: 778.3 million kilometers (km)
- Convert million kilometers to kilometers:
[tex]\[ \text{Distance in km} = 778.3 \text{ million km} \times 10^{6} \text{ km/million km} = 778300000.0 \text{ km} \][/tex]
- Convert kilometers to parsecs:
Using the conversion factor, [tex]\(1 \text{ pc} = 31 \times 10^{12} \text{ km}\)[/tex]:
[tex]\[ \text{Distance in pc} = \frac{778300000.0 \text{ km}}{31 \times 10^{12} \text{ km/pc}} = 2.5106451612903225 \times 10^{-5} \text{ pc} \][/tex]
### Summary of Converted Distances:
- Object A:
- [tex]\(0.000001877 \text{ pc}\)[/tex]
- Equivalent to 58,187,000.0 km
- Equivalent to [tex]\(6.122774 \times 10^{-6}\)[/tex] light-years
- Object B:
- [tex]\(30.06 \text{ AU}\)[/tex]
- Equivalent to 4,509,000,000.0 km
- Object C:
- 778.3 million km
- Equivalent to 778,300,000.0 km
- Equivalent to [tex]\(2.5106451612903225 \times 10^{-5} \text{ pc}\)[/tex]
These conversions provide equivalent representations of the distances in different units, making it easier to understand and compare these distances in various astronomical contexts.
### 1. Distance to Object A: 0.000001877 parsecs (pc)
- Convert parsecs to kilometers:
Using the conversion factor, [tex]\(1 \text{ pc} = 31 \times 10^{12} \text{ km}\)[/tex]:
[tex]\[ \text{Distance in km} = 0.000001877 \text{ pc} \times 31 \times 10^{12} \text{ km/pc} = 58187000.0 \text{ km} \][/tex]
- Convert parsecs to light-years:
Using the conversion factor, [tex]\(1 \text{ pc} = 3.262 \text{ light-years}\)[/tex]:
[tex]\[ \text{Distance in light-years} = 0.000001877 \text{ pc} \times 3.262 \text{ light-years/pc} = 6.122774 \times 10^{-6} \text{ light-years} \][/tex]
### 2. Distance to Object B: 30.06 Astronomical Units (AU)
- Convert AU to kilometers:
Using the conversion factor, [tex]\(1 \text{ AU} = 1.5 \times 10^{8} \text{ km}\)[/tex]:
[tex]\[ \text{Distance in km} = 30.06 \text{ AU} \times 1.5 \times 10^{8} \text{ km/AU} = 4509000000.0 \text{ km} \][/tex]
### 3. Distance to Object C: 778.3 million kilometers (km)
- Convert million kilometers to kilometers:
[tex]\[ \text{Distance in km} = 778.3 \text{ million km} \times 10^{6} \text{ km/million km} = 778300000.0 \text{ km} \][/tex]
- Convert kilometers to parsecs:
Using the conversion factor, [tex]\(1 \text{ pc} = 31 \times 10^{12} \text{ km}\)[/tex]:
[tex]\[ \text{Distance in pc} = \frac{778300000.0 \text{ km}}{31 \times 10^{12} \text{ km/pc}} = 2.5106451612903225 \times 10^{-5} \text{ pc} \][/tex]
### Summary of Converted Distances:
- Object A:
- [tex]\(0.000001877 \text{ pc}\)[/tex]
- Equivalent to 58,187,000.0 km
- Equivalent to [tex]\(6.122774 \times 10^{-6}\)[/tex] light-years
- Object B:
- [tex]\(30.06 \text{ AU}\)[/tex]
- Equivalent to 4,509,000,000.0 km
- Object C:
- 778.3 million km
- Equivalent to 778,300,000.0 km
- Equivalent to [tex]\(2.5106451612903225 \times 10^{-5} \text{ pc}\)[/tex]
These conversions provide equivalent representations of the distances in different units, making it easier to understand and compare these distances in various astronomical contexts.
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.
