Venus Is An Average Distance Of 108.2 Million Kilometers From The Sun. Use The Conversion Factor 1 AU = 1.5 × 10 8 Km 1 \text{ AU} = 1.5 \times 10^8 \text{ Km} 1 AU = 1.5 × 1 0 8 Km To Convert This Distance From Kilometers To Astronomical Units. Choose The Closest Answer.A.

Mar 13, 2025 by ADMIN 275 views

**Converting Distance from Kilometers to Astronomical Units**

Understanding the Problem

Venus is an average distance of 108.2 million kilometers from the Sun. To better understand this distance in a more familiar unit, we need to convert it from kilometers to astronomical units (AU). The conversion factor provided is $1 \text{ AU} = 1.5 \times 10^8 \text{ km}$ .

Step 1: Understanding the Conversion Factor

The conversion factor $1 \text{ AU} = 1.5 \times 10^8 \text{ km}$ tells us that 1 astronomical unit is equal to 150 million kilometers. This means that to convert a distance from kilometers to astronomical units, we need to divide the distance in kilometers by 150 million.

Step 2: Converting Distance from Kilometers to Astronomical Units

To convert the distance of Venus from kilometers to astronomical units, we will use the conversion factor. We will divide the distance of Venus (108.2 million kilometers) by the conversion factor (150 million kilometers per astronomical unit).

# Define the distance of Venus in kilometers
venus_distance_km = 108.2 * 10^6
conversion_factor = 1.5 * 10^8

venus_distance_au = venus_distance_km / conversion_factor

Step 3: Calculating the Distance of Venus in Astronomical Units

Now that we have the conversion factor and the distance of Venus in kilometers, we can calculate the distance of Venus in astronomical units.

# Calculate the distance of Venus in astronomical units
venus_distance_au = 108.2 * 10^6 / (1.5 * 10^8)

Step 4: Simplifying the Calculation

To simplify the calculation, we can use the properties of exponents. We can rewrite the conversion factor as $1.5 \times 10^8 = 1.5 \times 10^8$ .

# Simplify the calculation
venus_distance_au = (108.2 * 10^6) / (1.5 * 10^8)

Step 5: Evaluating the Expression

Now that we have simplified the calculation, we can evaluate the expression.

# Evaluate the expression
venus_distance_au = 0.07213333333333333

Conclusion

The distance of Venus from the Sun is approximately 0.0721 astronomical units.

Answer

The closest answer is 0.0721.

Discussion

This problem requires the use of the conversion factor to convert the distance of Venus from kilometers to astronomical units. The conversion factor is $1 \text{ AU} = 1.5 \times 10^8 \text{ km}$ . To convert the distance of Venus from kilometers to astronomical units, we need to divide the distance in kilometers by 150 million.

Additional Information

1 astronomical unit (AU) is equal to 150 million kilometers.
The distance of Venus from the Sun is approximately 0.0721 astronomical units.
To convert a distance from kilometers to astronomical units, we need to divide the distance in kilometers by 150 million.

References

[1] NASA. (n.d.). Astronomical Unit. Retrieved from https://solarsystem.nasa.gov/astronomical-unit/in-depth/
[2] Wikipedia. (n.d.). Astronomical Unit. Retrieved from https://en.wikipedia.org/wiki/Astronomical_unit
Frequently Asked Questions (FAQs) about Converting Distance from Kilometers to Astronomical Units =============================================================================================

Q: What is an astronomical unit (AU)?

A: An astronomical unit (AU) is a unit of length used to measure the distances between objects in our solar system. It is defined as the average distance between the Earth and the Sun, which is approximately 150 million kilometers.

Q: Why do we need to convert distance from kilometers to astronomical units?

A: We need to convert distance from kilometers to astronomical units to better understand the distances between objects in our solar system. Astronomical units are a more convenient unit of measurement for large distances, as they are easier to work with and understand.

Q: How do we convert distance from kilometers to astronomical units?

A: To convert distance from kilometers to astronomical units, we use the conversion factor: $1 \text{ AU} = 1.5 \times 10^8 \text{ km}$ . We divide the distance in kilometers by 150 million to get the distance in astronomical units.

Q: What is the distance of Venus from the Sun in astronomical units?

A: The distance of Venus from the Sun is approximately 0.0721 astronomical units.

Q: How do we calculate the distance of Venus from the Sun in astronomical units?

A: To calculate the distance of Venus from the Sun in astronomical units, we use the conversion factor: $1 \text{ AU} = 1.5 \times 10^8 \text{ km}$ . We divide the distance of Venus from the Sun (108.2 million kilometers) by 150 million to get the distance in astronomical units.

Q: What are some common applications of converting distance from kilometers to astronomical units?

A: Some common applications of converting distance from kilometers to astronomical units include:

Calculating the distances between planets in our solar system
Understanding the orbits of celestial bodies
Measuring the distances between stars and galaxies
Studying the properties of black holes and other cosmic phenomena

Q: What are some common mistakes to avoid when converting distance from kilometers to astronomical units?

A: Some common mistakes to avoid when converting distance from kilometers to astronomical units include:

Forgetting to use the correct conversion factor
Not rounding the result to the correct number of decimal places
Not checking the units of the result
Not using the correct formula for the conversion

Q: How do we ensure accuracy when converting distance from kilometers to astronomical units?

A: To ensure accuracy when converting distance from kilometers to astronomical units, we need to:

Use the correct conversion factor
Round the result to the correct number of decimal places
Check the units of the result
Use the correct formula for the conversion
Double-check the calculation for errors

Q: What are some real-world examples of converting distance from kilometers to astronomical units?

A: Some real-world examples of converting distance from kilometers to astronomical units include:

Calculating the distance of a spacecraft from Earth
Understanding the orbits of planets in our solar system
Measuring the distances between stars and galaxies
Studying the properties of black holes and other cosmic phenomena

Conclusion

Converting distance from kilometers to astronomical units is an essential skill for astronomers and scientists who work with large distances. By understanding the conversion factor and using it correctly, we can accurately calculate the distances between objects in our solar system and beyond.