The Essential Cosmic Perspective (8th Edition)
8th Edition
ISBN: 9780134446431
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 3, Problem 6VSC
Use the information in the graphs to answer the following questions.
Check your understanding of some of the many types of visual information used in astronomy. For additional practice, try the Chapter 3 
Visual Quiz at Mastering Astronomy.
6. Suppose Figure a showed a planet on the red line directly above a value of 1000 AU3 along the horizontal axis. On the vertical axis, this planet would be at _______._____
a. 1000 year2
b. 10002 years
c.
d. 100 years
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Let's use Kepler's laws for the inner planets. Use the following distances from the sun to calculate the orbital period for each of these planets. Express your answer in terms of Earth years to two significant figures. Answer for the highlighted planet in each question.
Note: Use Kepler's law directly. Don't just Google the answers, as they will be a little bit different.
When you have calculated them, only submit the value for Earth.
Planet
Distance from the sun
Period of orbit around the sun
Earth
150 million km
___ Earth years
Mercury
58 million km
___ Earth years
Venus
108 million km
___ Earth years
Mars
228 million km
___ Earth years
This is Pre-Calc! Please help and Thank you! Please click the pics for the background info
Directions: Answer questions 1-8 based on the information on Table 1. Round all answers to the nearest thousandth and label with the appropriate units.
1. According to Table 1, what is the closest distance between Earth and Mars?
2. According to Table 1, what is the farthest distance between Earth and Mars?
3. Based on your answers from #2 and #3, what is the average distance between the two planets?
4. Based on your answers from #2 and #3, what is the amplitude of the distances?
5. The distance has a period of 772 days. Write a sinusoidal equation relating the number of days and distance from Earth to Mars.
6. Based on the equation from #5, what is the distance between our planets on Mr. Schutt’s birthday (day 187)?
7. Write a sinusoidal equation relating the number of days and the one-waycommunication between Earth to Mars.
8. What is the one-way communication time delay between our planets on…
Suppose there were a planet in our Solar System orbiting at a distance of 0.5 AU from the Sun, and having ten times the mass and four times the radius of Earth. For reference, the Earth has a mass of 5.97 × 10*24 kg and a radius of 6,378 km.
a)Calculatethe density of this hypothetical planet.
b)Basedon your answer from part a), what do you think this planet would be made of? Explain your
c)Dothis planet’s properties agree with the condensation theory for the formation of our Solar System? Why or why not?
Chapter 3 Solutions
The Essential Cosmic Perspective (8th Edition)
Ch. 3 - Prob. 1VSCCh. 3 - Use the information in the graphs to answer the...Ch. 3 - Use the information in the graphs to answer the...Ch. 3 - Use the information in the graphs to answer the...Ch. 3 - Use the information in the graphs to answer the...Ch. 3 - Use the information in the graphs to answer the...Ch. 3 - Use the information in the graphs to answer the...Ch. 3 - In what way is scientific thinking natural to all...Ch. 3 - Prob. 2EAPCh. 3 - What is a lunar calendar? How can it be kept...
Ch. 3 - What do we mean by a model in science? Briefly...Ch. 3 - What do we mean by the Ptolemaic model? How did...Ch. 3 - What was the Copernican revolution, and how did it...Ch. 3 - What is an ellipse? Define its foci, semimajor...Ch. 3 - State and explain the meaning of each of Kepler’s...Ch. 3 - Describe the three hallmarks of science and...Ch. 3 - What is the difference between a hypothesis and a...Ch. 3 - Each of the following statements makes some type...Ch. 3 - Each of the following statements makes some type...Ch. 3 - Each of the following statements makes some type...Ch. 3 - Each of the following statements makes some type...Ch. 3 - Each of the following statements makes some type...Ch. 3 - Each of the following statements makes some type...Ch. 3 - Each of the following statements makes some type...Ch. 3 - Each of the following statements makes some type...Ch. 3 - Each of the following statements makes some type...Ch. 3 - Prob. 20EAPCh. 3 - Choose the best answer to each of the following....Ch. 3 - Choose the best answer to each of the following....Ch. 3 - Choose the best answer to each of the following....Ch. 3 - Choose the best answer to each of the following....Ch. 3 - Choose the best answer to each of the following....Ch. 3 - Choose the best answer to each of the following....Ch. 3 - Choose the best answer to each of the following....Ch. 3 - Choose the best answer to each of the following....Ch. 3 - Choose the best answer to each of the following....Ch. 3 - Choose the best answer to each of the following....Ch. 3 - Prob. 31EAPCh. 3 - Earth’s Shape. It took thousands of years for...Ch. 3 - Prob. 33EAPCh. 3 - Prob. 34EAPCh. 3 - Prob. 35EAPCh. 3 - Prob. 36EAPCh. 3 - Prob. 37EAPCh. 3 - Prob. 38EAPCh. 3 - Halley Orbit. Halley’s comet orbits the Sun every...Ch. 3 - Prob. 40EAPCh. 3 - 41. The Importance of Ancient Astronomy. Why was...Ch. 3 - Prob. 42EAPCh. 3 - Prob. 43EAPCh. 3 - The Galileo Affair. In recent years. the Roman...Ch. 3 - Prob. 45EAPCh. 3 - Prob. 46EAP
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- Explain what is meant by the distance ladder in astronomy. Describe briefly how each “rung” of the distance ladder is calibrated so that a reliable measure of distance can be obtained using each of the methods. State clearly the range of distances that can be measured by each method that makes up the distance ladder.arrow_forwardThe table below presents the semi-major axis (a) and Actual orbital period for all of the major planets in the solar system. Cube for each planet the semi-major axis in Astronomical Units. Then take the square root of this number to get the Calculated orbital period of each planet. Fill in the final row of data for each planet. Table of Data for Kepler’s Third Law: Table of Data for Kepler’s Third Law: Planet aau = Semi-Major Axis (AU) Actual Planet Calculated Planet Period (Yr) Period (Yr) __________ ______________________ ___________ ________________ Mercury 0.39 0.24 Venus 0.72 0.62 Earth 1.00 1.00 Mars 1.52 1.88 Jupiter…arrow_forwardGive me the right answer please and thank you, take your timeCalculate the amount of time it takes for light reflected off the surface of a distant planet to reach us.1. Sunlight takes about 8.3 minutes to travel from the Sun to Earth. What is the Sun-Earth distance in AU? (Give your answer rounded to the nearest AU).2.Light is reflected off the surface of a planet 5.2 AU away from us. How long does it take this light to reach us from the planet? Give your answer in minutes, rounded to exactly one decimal place.arrow_forward
- Use Kepler's 3rd Law and the small angle approximation. a) An object is located in the solar system at a distance from the Sun equal to 41 AU's . What is the objects orbital period? b) An object seen in a telescope has an angular diameter equivalent to 41 (in units of arc seconds). What is its linear diameter if the object is 250 million km from you? Draw a labeled diagram of this situation.arrow_forwardLet's use Kepler's laws for the inner planets. Use the following distances from the sun to calculate the orbital period for each of these planets. Express your answer in terms of Earth years to two significant figures. Note: Use Kepler's law directly. Don't just Google the answers, as they will be a little bit different. When you have calculated them, only submit the value for Mercury. Planet Distance from the sun Period of orbit around the sun Earth 150 million km ___ Earth years Mercury 58 million km ___ Earth years Venus 108 million km ___ Earth years Mars 228 million km ___ Earth yearsarrow_forward1. Why were the main reasons why the idea that the Earth was at the center of the universe lasted so long? 2. Discuss in 2 paragraphs the observations made by Galileo that disproved Geocentrism. Which one do you think was the most important? 3. Write down a hypothesis and observational experiment to test one of Newton’s laws of motion. EXPLAIN YOUR REASONING! 4. One of the first exoplanets discovered orbits the star 51 Pegasi with a period of just 4.2 days. 51 Pegasi is very similar to the Sun. Use Kepler’s laws to find the distance (in astronomical units) between the planet (unofficially named Bellerophon) and its star. SHOW YOUR WORK! 5. How does halving the distance between two objects affect the gravitational force between them? 6. Suppose the Sun were somehow replaced by a star with five times as much mass. What would happen to the gravitational force between the Earth and the Sun? 7. How long would the Earth year last in this last case? (hint: Newton’s version of Kepler’s 3rd…arrow_forward
- We need to create a scale model of the solar system (by shrinking the sun down to the size of a basketball or ~30cm). First, we will need to scale down actual solar system dimensions (planet diameters and average orbital radiuses) by converting our units. There are two blank spaces in the table below. We will effectively fill in the missing data in the next set of questions. Use the example below to help you. Example: What is the scaled diameter of Mercury if the Sun is scaled to the size of a basketball (30 cm)? The actual diameter of Mercury is 4879 km The Sun's diameter is 1392000 km If the Sun is to be reduced to the size of a basketball, then the conversion we need for this equation will be: 30cm1392000km Here is how we run the conversion: 4879km×30cm1392000km=0.105cm or 0.11cm if we were to round our answer. This means that if the sun in our model is the size of a basketball, Mercury is the size of a grain of sand. We can also see by looking at the table, that we would…arrow_forwardUsing the GUFSA Template. Round off your final answer to the nearest hundredths. As we already know, rockets travel at very high speeds. How much time will it take a rocket (in seconds) to reach the moon if the moon is 238,900 miles away from the Earth, and the rocket is travelling 1,800,000 centimeters per minute? (express your answer in meters per second)arrow_forward2. On August 27, 2003, the planet Mars was at a distance of 0.373 AU from Earth. The diameter of Mars is 6788 km. a) Calculate the angular diameter of Mars, as seen from Earth on August 27, 2003. Give your answer in arcminutes.arrow_forward
- As discussed in class, the moon is receding from the Earth due to tides at a rate of ~4 cm/year. Let’s assume that rate has been constant throughout time (it wasn’t, but we can use it to illustrate some key points). Its current semi-major axis is 384,400 km.a) If the moon formed 4.5 billion years ago and has been receding from the Earth ever since, what was its original semi-major axis? What was its original orbital period?b) What would the apparent size of the Moon have been in the sky as viewed from Earth? That is, in Hmwk 2, you were told the diameter of the Moon spans about 0.5o when viewed from Earth today. What would it have been when the Moon first formed? Reletive Numbers Relevant Numbers1 AU = 150,000,000 km = 1.5x108 kmEccentricity of Earth’s Orbit: 0.0167Radius of Earth: 6371 kmMass of Earth: 5.96x1024 kgRadius of the Moon: 1737 kmMass of Moon: 7.34x1022 kgRadius of Mars: 3390 kmMass of Mars: 6.4x1023 kgRadius of the Sun: R⦿=696,300 kmMass of the Sun: M⦿=2x1030…arrow_forwardSuppose there were a planet in our Solar System orbiting at a distance of 0.5 AU from theSun, and having ten times the mass and four times the radius of Earth. For reference, theEarth has a mass of 5.97 × 1024 kg and a radius of 6,378 km a) Calculate the density of this hypothetical planet.b) Based on your answer from part a), what do you think this planet would be made of?Explain your reasoning.c) Do this planet’s properties agree with the condensation theory for the formation of ourSolar System? Why or why not?arrow_forwardAt present there are 8 planets in the solar system. In the early models, there were only 6 planets. What is the reason behind this? Describe a model of the modern solar system in terms of the number of planets, their arrangement and the model’s center.arrow_forward
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