An Introduction to Physical Science
14th Edition
ISBN: 9781305079137
Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher: Cengage Learning
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Chapter 16, Problem 10E
To determine
Show that a planet has a greater speed when it is closer to the Sun.
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One year on Planet AAA is 5 time the length of one earth year and it orbits its sun at an
average distance 4.38 AU. Planet ZZZ orbits the same sun at an average distance of
2.53 AU. Determine the length of one year on Planet ZZZ in earth days.
If the semi-major axis, a, is measured in AU and the orbital period, p, is measured in years, then Kepler's 3rd law allows us to calculate the mass of the object they are orbiting using the following equation: M = a3/p2
Furthermore, the mass that is calculated by this equation is given in solar masses (MSun) where, by definition, the Sun's mass is 1 MSun.
Now, suppose I were to tell you that the mass of Jupiter is equal to 4.5e7 MSun.
Does the stated mass of Jupiter make sense?
Group of answer choices
- Yes
- No, it's too big.
- No, it's too small
If the semi-major axis, a, is measured in AU and the orbital period, p, is measured in years, then Kepler's 3rd law allows us to calculate the mass of the object they are orbiting using the following equation: M = a3/p2
Furthermore, the mass that is calculated by this equation is given in solar masses (MSun) where, by definition, the Sun's mass is 1 MSun.
Now, suppose I were to tell you that the mass of Jupiter is equal to 4.5e7 MSun.
Does the stated mass of Jupiter make sense?
it is to big or to small or makes sense
Chapter 16 Solutions
An Introduction to Physical Science
Ch. 16.1 - What is the difference between the geocentric...Ch. 16.1 - Prob. 2PQCh. 16.1 - Calculate the period of a planet whose orbit has a...Ch. 16.2 - Prob. 1PQCh. 16.2 - Prob. 2PQCh. 16.3 - Which has the greater albedo, the Earth or the...Ch. 16.3 - Prob. 2PQCh. 16.4 - What makes a planet terrestrial, or pertaining to...Ch. 16.4 - What is the most abundant molecule in the...Ch. 16.5 - Prob. 1PQ
Ch. 16.5 - Prob. 2PQCh. 16.6 - Prob. 1PQCh. 16.6 - Prob. 2PQCh. 16.7 - Prob. 1PQCh. 16.7 - Prob. 2PQCh. 16.8 - Prob. 1PQCh. 16.8 - Prob. 2PQCh. 16 - Prob. AMCh. 16 - Prob. BMCh. 16 - Prob. CMCh. 16 - Prob. DMCh. 16 - Prob. EMCh. 16 - Prob. FMCh. 16 - Prob. GMCh. 16 - Prob. HMCh. 16 - Prob. IMCh. 16 - Prob. JMCh. 16 - Prob. KMCh. 16 - Prob. LMCh. 16 - Prob. MMCh. 16 - Prob. NMCh. 16 - Prob. OMCh. 16 - Prob. PMCh. 16 - Prob. QMCh. 16 - Prob. RMCh. 16 - Prob. SMCh. 16 - Prob. TMCh. 16 - Prob. UMCh. 16 - Prob. VMCh. 16 - Prob. WMCh. 16 - Prob. XMCh. 16 - Prob. 1MCCh. 16 - Which of Keplers laws gives the most direct...Ch. 16 - Which of Keplers laws gives an indication of the...Ch. 16 - Prob. 4MCCh. 16 - Which of the following is abundant on the Earth...Ch. 16 - Prob. 6MCCh. 16 - Prob. 7MCCh. 16 - Which of the following statements concerning the...Ch. 16 - Which of the following is not a physical...Ch. 16 - What are the primary constituents of the Jovian...Ch. 16 - Which of the following is not a physical...Ch. 16 - Which planet has a ring system made of mostly...Ch. 16 - Which Jovian planet revolves on its side and has...Ch. 16 - Which one of the following criteria disqualifies...Ch. 16 - Which statement about the dwarf planet Ceres is...Ch. 16 - Prob. 16MCCh. 16 - Prob. 17MCCh. 16 - Which of the following is not a very useful method...Ch. 16 - ___ is the study of the universe. (Intro)Ch. 16 - Prob. 2FIBCh. 16 - Prob. 3FIBCh. 16 - Prob. 4FIBCh. 16 - Prob. 5FIBCh. 16 - Prob. 6FIBCh. 16 - Prob. 7FIBCh. 16 - The albedo of the Earth is about ___. (16.3)Ch. 16 - Prob. 9FIBCh. 16 - Prob. 10FIBCh. 16 - Prob. 11FIBCh. 16 - Prob. 12FIBCh. 16 - The Jovian planet with retrograde rotation is ___....Ch. 16 - Prob. 14FIBCh. 16 - Prob. 15FIBCh. 16 - Prob. 16FIBCh. 16 - Prob. 17FIBCh. 16 - Prob. 1SACh. 16 - What is the main difference between the...Ch. 16 - Prob. 3SACh. 16 - Prob. 4SACh. 16 - Describe the orientation and the shape of the...Ch. 16 - Prob. 6SACh. 16 - Prob. 7SACh. 16 - Prob. 8SACh. 16 - Prob. 9SACh. 16 - Prob. 10SACh. 16 - Prob. 11SACh. 16 - Prob. 12SACh. 16 - Explain the differences between the Grand Canyon...Ch. 16 - Prob. 14SACh. 16 - Prob. 15SACh. 16 - Which planets axis of rotation is a peculiarity,...Ch. 16 - Prob. 17SACh. 16 - Prob. 18SACh. 16 - Why is Pluto not considered a major planet, and...Ch. 16 - Prob. 20SACh. 16 - Prob. 21SACh. 16 - What was the major influence in the formation of...Ch. 16 - What is astrometry?Ch. 16 - Prob. 24SACh. 16 - Prob. 1VCCh. 16 - Give some reasons our knowledge of the solar...Ch. 16 - A Foucault pendulum suspended from the ceiling of...Ch. 16 - Prob. 3AYKCh. 16 - Explain how the scientific method was used to...Ch. 16 - How does the solar nebula theory explain the...Ch. 16 - Calculate the period T of a planet whose orbit has...Ch. 16 - Calculate the period T of a dwarf planet whose...Ch. 16 - Calculate the length R of the semimajor axis of a...Ch. 16 - Calculate the length R of the semimajor axis of a...Ch. 16 - Determine what the period of revolution of the...Ch. 16 - Determine what the period of revolution of the...Ch. 16 - Asteroids are believed to be material that never...Ch. 16 - Show that the asteroid belt lies between Mars and...Ch. 16 - Use Keplers third law to show that the closer a...Ch. 16 - Prob. 10ECh. 16 - Prob. 11ECh. 16 - List the Jovian planets in order of increasing...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- What would be the Schwarzschild radius, in light years, if our Milky Way galaxy of 100 billion stars collapsed into a black hole? Compare this to our distance from the center, about 13,000 light years.arrow_forwardA newly discovered planet orbits a star identical to our own with a period of 0.5years and an eccentricity of 0.4. If the star was replaced by one 4 times as massive how would the period of the planet change?arrow_forwardA planet is observed orbiting a 8.8 solar mass star (1 solar mass = 2 x1030 kg) with an orbital period of 74.3 days. How far is the planet from the star?arrow_forward
- Use a distance of R = 1.48x10^11 meters for the distance between the earth and the sun. Use a mass of 1.99x10^30 kg to be 1 solar mass. For each of the different sun masses (as values of solar mass, aka 0.5 solar masses = 1x10^30 kg), as outlined in the lecture, calculate the period of the earth's orbit in days using Kepler's law for circular orbits (I double-checked it with these values and it works) and also calculate the corresponding orbital velocity of the earth. Questions: 1.) Using these values, and 6x10^24 kg for the mass of the earth, what is the strength of the gravitational force between the earth and the sun? 2.) If the earth were twice as far from the sun, what would be its period of orbit? 3.) Mars orbits the sun at a distance of 2.18x10^11 meters. How long is a Martian year, using Kepler's law for circular orbits?arrow_forwardA planet that has a mass 2.03 times that of the Earth is orbiting a star that has the a mass 3.86 times that of our Sun. The planet orbits at an average distance of 0.75 AU. How does the gravitational force between this planet and its star compare to the force between the Sun and the Earth?arrow_forwardA planet that has a mass equal to that of the Earth is orbiting a star that has the same mass as the Sun. The planet orbits at an average distance of 1.95 AU. How does the gravitational force between this planet and its star compare to the force between the Sun and the Earth?arrow_forward
- An object of mass mm is launched from a planet of mass M and radius R. Calculate this minimum launch speed (called the escape speed), in meters per second, for a planet of mass M=5.38×1023kg and R=83.2×103km. V= ( 2 G M/R )0.5=arrow_forwardConsider a star of mass M₁ that hosts a planet of mass M₂ on a circular orbit with semi- major axis a. The mass of the planet is related to the orbital velocity of the star by the expression G M₂1 Μια Using Kepler's 3rd law show that this expression can be written as V₁ = 2πG (27²) ¹/3 9 M²P where P is the orbital period of the planet around the star. V₁ = M₂arrow_forward(to two decimal places): (what is ‘h’?) Eccentricity of earth orbit is 0.0167 µ(sun) = 1.32712E+11 km^3/s^ semimajor axis of Earth orbit = 1.49598E+08 need to figure out what ‘h’ is. a) Calculate the speed of the earth around the sun at aphelion? (29.29 KM/S) b) At perihelion? (30.29 KM/S)arrow_forward
- Use the Law of Gravitation with Kepler's third Law to determine the mass of the Sun. Don't forget to include units!arrow_forwardI found a planet with an orbital radius of only 0.2 AU. The parent star is only half as massive as the sun (M=0.5). What is the orbital period? 1) 0.56 years 2) 0.13 years 3) 0.04 years 4) 1.3 yearsarrow_forwardMathematically, prove the accuracy of Kepler’s 3rd law by computing and recording the values in the data table belowarrow_forward
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