21ST CENT.AST.W/WKBK+SMARTWORK >BI<
6th Edition
ISBN: 9780393415216
Author: Kay
Publisher: NORTON
expand_more
expand_more
format_list_bulleted
Question
Chapter 3, Problem 45QP
(a)
To determine
Find the value of major axis and semimajor axis of Mars.
(b)
To determine
Find the distance from the center of the orbit to the Sun and eccentricity of Mars orbit and compare it with Earth’s eccentricity.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
M
M
1. What is the gravitational potential energy of the mass (m) in the picture? The mass is the same
distance awayr from the centers of both of the other masses, and both of the other masses have
the same mass, M. Give your answer in Joules.
r= 400 million meters
m = 7x1022 kg
M = 2x1027 kg
2. What is the net gravitational force for the mass m at this location? Give your answer in
Newtons.
A newly discovered planet orbits a distant star with the same mass as the Sun at an average distance of 122 million kilometers. Its orbital eccentricity is 0.5.
1. Find the planet's orbital period. Express your answer in years to three significant figures.
2. Find the planet's nearest and farthest orbital distances from its star. Express your answers in millions of kilometers to three significant figures separated by a comma.
Part B.
1. The table below shows the gravitational force between Saturn and some ring
particles that are at different distance from the planet. All of the particles have a
mass of 1 kg.
Table 1. Distance and Gravitational
Force Data
Distance of 1- Gravitational
kg Ring
Particle from
Force between
Saturn and 1-kg
ring particle (in
| 10,000 N)
2. Use the data in the table to make a
graph of the relationship between
distance and gravitational force. Label
your graph "Gravitational Force and
distance".
Center of
Saturn (in
| 1,000 km)
100
38
Hint: Put the data for distance on the
horizontal axis and the data for
gravitational force on the vertical axis.
120
26
130
22
150
17
3. Look at your graphed data, and
record in your answering sheet any
relationship you notice.
180
12
200
9.
220
8
250
280
O 5
Chapter 3 Solutions
21ST CENT.AST.W/WKBK+SMARTWORK >BI<
Ch. 3.1 - Prob. 3.1ACYUCh. 3.1 - Prob. 3.1BCYUCh. 3.2 - Prob. 3.2CYUCh. 3.3 - Prob. 3.3CYUCh. 3.4 - Prob. 3.4CYUCh. 3 - Prob. 1QPCh. 3 - Prob. 2QPCh. 3 - Prob. 3QPCh. 3 - Prob. 4QPCh. 3 - Prob. 5QP
Ch. 3 - Prob. 6QPCh. 3 - Prob. 7QPCh. 3 - Prob. 8QPCh. 3 - Prob. 9QPCh. 3 - Prob. 10QPCh. 3 - Prob. 11QPCh. 3 - Prob. 12QPCh. 3 - Prob. 13QPCh. 3 - Prob. 14QPCh. 3 - Prob. 15QPCh. 3 - Prob. 16QPCh. 3 - Prob. 17QPCh. 3 - Prob. 18QPCh. 3 - Prob. 19QPCh. 3 - Prob. 20QPCh. 3 - Prob. 21QPCh. 3 - Prob. 22QPCh. 3 - Prob. 23QPCh. 3 - Prob. 24QPCh. 3 - Prob. 25QPCh. 3 - Prob. 26QPCh. 3 - Prob. 27QPCh. 3 - Prob. 28QPCh. 3 - Prob. 29QPCh. 3 - Prob. 30QPCh. 3 - Prob. 31QPCh. 3 - Prob. 32QPCh. 3 - Prob. 33QPCh. 3 - Prob. 34QPCh. 3 - Prob. 35QPCh. 3 - Prob. 36QPCh. 3 - Prob. 37QPCh. 3 - Prob. 38QPCh. 3 - Prob. 39QPCh. 3 - Prob. 40QPCh. 3 - Prob. 41QPCh. 3 - Prob. 42QPCh. 3 - Prob. 43QPCh. 3 - Prob. 44QPCh. 3 - Prob. 45QP
Knowledge Booster
Learn more about
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
- Kepler's 1st law says that our Solar System's planets orbit in ellipses around the Sun where the closest distance to the Sun is called perihelion. Suppose I tell you that there is a planet with a perihelion distance of 2 AU and a semi-major axis of 1.5 AU. Does this make physical sense? Explain why or why not.arrow_forwardIn 1993 the Galileo spacecraft sent home an image of asteroid "243 Ida" and a tiny moon "Dactyl" orbiting the asteroid. Assume that the small moon orbits in a circle with a radius of r = 100 km from the center of the asteroid with an orbital period of T = 27 hours. a. Show and explain how we derived Kepler's 3rd law using Newton's 2nd Law, the definition for centripetal acceleration, and the equation for gravitational force. b. Use your result for Kepler's 3rd Law to determine the mass of the asteroid. c. If the asteroid has a radius of about 16 km calculate the approximate value for the acceleration due to gravity, g, on its surface. d. What velocity would you need to achieve in order to lift off and leave this asteroid? e. Use Newton's 2nd Law, the definition for centripetal acceleration, and the equation for gravitational force to determine an expression for circular orbital velocity. f. What is the orbital velocity of the small moon if we assume it is in a circular orbit?arrow_forwardUse the diagram and the fact that Planet A has a nearly circular orbit while Planet B has a highly elliptical orbit to answer the following questions. Use examples of Newton’s and Kepler’s laws in your answers. a. Does Planet B travel faster or slower when it is closest to the Sun than at other times? Explain your answer. b. Which planet takes longer to orbit the Sun? Explain your answer. c. Does the gravitational attraction between these planets increase or decrease as their orbits move them closer together? Explain your answer. d. Which planet has the highest average orbital speed? Explain your answer. e. Which planet travels at about the same speed throughout its orbit? Explain your answer.arrow_forward
- 7arrow_forward4arrow_forwardUntil recently, the term "planet" had no clear-cut definition. In August of 2006, leading astronomers established new guidelines and declared that Pluto is no longer a planet. Which of the following is either false or least consistent with the new guidelines? Group of answer choices Pluto is by far the largest known object in the Kuiper belt, while Eris is the largest known object in the asteroid belt. A planet must have cleared the neighborhood around its orbit. Pluto is automatically disqualified from being a planet because its oblong orbit overlaps with Neptune's. A planet must have sufficient mass for its self-gravity to overcome rigid body forces so that it assumes a nearly round shape. Pluto and the asteroid Ceres are both now classified as dwarf planets.arrow_forward
- A newly discovered planet orbits a star with the same mass as the Sun with a semi-major axis of 239.36 million kilometers. Its orbital eccentricity is 0.1.A. Find the planet's orbital period.B. Find the planet's perihelion distance.C. Find the planet's aphelion distance.arrow_forwardPlease solve and show solution. Please include ILLUSTRATION TOO. Thanksarrow_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_forward
- Topic: Kepler's Laws of Planetary Motion Show the following in your answer: A. Diagram B.Given Quantities C. Unknown Quantities D. Complete Solution E. Round answers to 2 decimal places F. Express answer with the correct units The Hubble space telescope orbits Earth with an orbital speed of 7.6×103m/s. A. Calculate its altitude above Earth's surface. B. What is its period?arrow_forwardTwo moons orbits a planet. Describe the orientation of the moons in their orbits that will result in the smallest tides on the surface of the planet. Explain.arrow_forwardThe dwarf planet Pluto has an elliptical orbit with a semi-major axis of 5.91×10^12 m and eccentricity 0.249. Calculate Pluto's orbital period. Express your answer in seconds. Calculate Pluto's orbital period. Express your answer in earth years. During Pluto's orbit around the sun, what is its closest distance from the sun? Express your answer with the appropriate units. During Pluto's orbit around the sun, what is its farthest distance from the sun? Express your answer with the appropriate units.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- AstronomyPhysicsISBN:9781938168284Author:Andrew Fraknoi; David Morrison; Sidney C. WolffPublisher:OpenStaxPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningStars and Galaxies (MindTap Course List)PhysicsISBN:9781337399944Author:Michael A. SeedsPublisher:Cengage Learning
- Stars and GalaxiesPhysicsISBN:9781305120785Author:Michael A. Seeds, Dana BackmanPublisher:Cengage LearningHorizons: Exploring the Universe (MindTap Course ...PhysicsISBN:9781305960961Author:Michael A. Seeds, Dana BackmanPublisher:Cengage Learning
Astronomy
Physics
ISBN:9781938168284
Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher:OpenStax
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Stars and Galaxies (MindTap Course List)
Physics
ISBN:9781337399944
Author:Michael A. Seeds
Publisher:Cengage Learning
Stars and Galaxies
Physics
ISBN:9781305120785
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning
Horizons: Exploring the Universe (MindTap Course ...
Physics
ISBN:9781305960961
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning
Kepler's Three Laws Explained; Author: PhysicsHigh;https://www.youtube.com/watch?v=kyR6EO_RMKE;License: Standard YouTube License, CC-BY