Physical Universe
16th Edition
ISBN: 9780077862619
Author: KRAUSKOPF, Konrad B. (konrad Bates), Beiser, Arthur
Publisher: Mcgraw-hill Education,
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Textbook Question
Chapter 1, Problem 17E
The average distance from the earth to the sun is called the astronomical unit (AU). If an asteroid is 4 AU from the sun and its period of revolution around the sun is 8 years, does it obey Kepler’s third law?
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Consider the Earth's orbit around the Sun to be circular with radius R = 9.30 x 107 mi and it takes 365 days to complete one revolution. What is the distance Earth traveled for one revolution (circumference of a circle is 2??2πR )?
Two exoplanets, UCF1.01 and UCF1.02 are found revolving around the same star. The period of planet UCF1.01 is 92.4 days, and that of planet UCF1.02 is 7.1 days.
If the average distance of UCF1.01 to the sun is 5,828.0 km, what is the average distance of UCF1.02 to the sun in km? Please keep four digits after decimal points.
(a)
Jupiter's third-largest natural satellite, Io, follows an orbit with a semimajor axis of 422,000 km (4.22 ✕ 105 km) and a period of 1.77 Earth days (PIo = 1.77 d). To use Kepler's Third Law, we first must convert Io's orbital semimajor axis to astronomical units. One AU equals 150 million km (1 AU = 1.50 ✕ 108 km). Convert Io's a value to AU and record the result.
aIo = AU
(b)
One Earth year is about 365 days. Convert Io's orbital period to Earth years and record the result.
PIo = yr
(c)
Use the Kepler's Third Law Calculator to calculate Jupiter's mass in solar units. Record the result.
MJup(Io) = MSun
(d)
Based on this result, Jupiter's mass is about that of the Sun.
Jupiter has a similar fraction of the Sun's volume. The two objects therefore have rather similar density! In fact, Jupiter has a fairly similar composition as well: most of its mass is in the form of hydrogen and helium.
Chapter 1 Solutions
Physical Universe
Ch. 1 - The scientific method is a. continuing process b....Ch. 1 - A scientific law or theory is valid a. forever b....Ch. 1 - A hypothesis is a. a new scientific idea b. a...Ch. 1 - The ongoing evolution of living things a. is one...Ch. 1 - The object in the sky that apparently moves least...Ch. 1 - A constellation is a. an especially bright star b....Ch. 1 - Which of the following is no longer considered...Ch. 1 - A planet not visible to the naked eye is a. Mars...Ch. 1 - The planet closest to the sun is a. earth b. Venus...Ch. 1 - Prob. 10MC
Ch. 1 - Kepler modified the copernican system by showing...Ch. 1 - The speed of a planet in its orbit around the sun...Ch. 1 - According to Keplers third law, the time needed...Ch. 1 - The law of gravity a. applies only to large bodies...Ch. 1 - The earth bulges slightly at the equator and is...Ch. 1 - The usual tidal pattern in most parts of the world...Ch. 1 - Tides are caused a. only by the sun b. only by the...Ch. 1 - High tide occurs at a given place a. only when the...Ch. 1 - The prefix micro stands for a. 1/10 b. 1/100 c....Ch. 1 - A centimeter is a. 0.001 m b. 0.01 m c. 0.1 m d....Ch. 1 - Of the following, the shortest is a. 1 mm b. 0.01...Ch. 1 - Of the following, the longest is a. 1000 ft b. 500...Ch. 1 - A person is 180 cm tall. This is equivalent to a....Ch. 1 - The measurements of a room are given as length =...Ch. 1 - Prob. 1ECh. 1 - Prob. 2ECh. 1 - What is the difference between a hypothesis and a...Ch. 1 - Prob. 4ECh. 1 - According to the physicist Richard Feynman,...Ch. 1 - What does a year correspond to in terms of...Ch. 1 - You are lost in the northern hemisphere in the...Ch. 1 - In terms of what you would actually observe, what...Ch. 1 - What must be your location if the stars move...Ch. 1 - How do leap years fit into the ptolemaic system?...Ch. 1 - From observations of the moon, why would you...Ch. 1 - The sun, moon, and planets all follow...Ch. 1 - What is the basic difference between the ptolemaic...Ch. 1 - Ancient astronomers were troubled by variations in...Ch. 1 - Compare the ptolemaic and copernican explanations...Ch. 1 - What do you think is the reason scientists use an...Ch. 1 - The average distance from the earth to the sun is...Ch. 1 - As the earth revolves around the sun, some stars...Ch. 1 - Why is gravity considered a fundamental force...Ch. 1 - What, if anything, would happen to the shape of...Ch. 1 - What is the difference between spring and neap...Ch. 1 - The length of the day has varied. When did the...Ch. 1 - The earth takes almost exactly 24 h to make a...Ch. 1 - Does the sun or the moon have the greater...Ch. 1 - In the following pairs of length units, which is...Ch. 1 - A European driving from Paris to Brussels finds...Ch. 1 - The worlds tallest tree is a sequoia in California...Ch. 1 - The diameter of an atom is roughly 104 times the...Ch. 1 - How many square feet are there in an area of 1.00...Ch. 1 - A swimming pool is 20.00 m long, 7.00 m wide, and...Ch. 1 - The speedometer of a European car gives its speed...Ch. 1 - A horse galloped a mile in 2 min 35 s. What was...Ch. 1 - How many microphones are there in a megaphone?Ch. 1 - Use the proper number of significant figures to...Ch. 1 - Prob. 35E
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- Kepler's third law states that the relationship between the mean distance d (in astronomical units) of a planet from the Sun and the time t (in years) it takes the planet to orbit the Sun can be given by d^3 = t^2. (A). It takes Venus 0.616 years to orbit the Sun. Find the mean distance of Venus from the Sun (in astronomical units). (B). The mean distance of Jupiter from the Sun is 5.24 astronomical units. How many years does it take Jupiter to orbit the Sun?arrow_forwardMars has an orbital radius of 1.523 AU and an orbital period of 687.0 days. What is its average speed v in SI units? (1 AU is the astronomical unit, the mean distance between the Sun and the Earth, which is 1.496×1011 m) a. 0.00221 AU/day b. 3838 m/s c. 0 d. 1.28×10−9 m/sarrow_forwardA new planet is discovered orbiting a distant star. Observations have confirmed that the planet has a circular orbit with a radius of 12 AU and takes 117 days to orbit the star. Determine the mass of the star. State your answer with appropriate mks units. [NOTE: AU ..stands.for...astronomical unit". It is the average distance between Earth & the Sun. 1 AU≈ 1.496 x 1011 m.] Enter a number with units. I be quite large and your calculator will display the answer as a power of 10. If, as an example, your answer was 8.54 x 1056, you would type "8.54e56" into the answer box (remember to state your units with your answer).]arrow_forward
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