Stars and Galaxies (MindTap Course List)
10th Edition
ISBN: 9781337399944
Author: Michael A. Seeds
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 5, Problem 27RQ
To determine
The position of the center of mass of two bodies and the position of center of mass of Earth-Moon system.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Use the definition of center of mass to answer the following questions:
(a) The distance between the Earth and the Moon (center to center) is
approximately 239,000 miles. How far is the center of mass of the Earth/Moon
system from the center of the Earth? The mass of the Earth is 5.97 x 1024 kg
and the mass of the Moon is 7.35 x 1022 kg.
(b) The average distance between the Earth and the Sun (center to center) is
approximately 93 million miles. How far is the center of mass of the Earth/Sun
system from the center of the Sun? The mass of the Earth is 5.97 x 1024 kg
and the mass of the Sun is 1.99 x 1030 kg.
The center of mass of the moon is at an average distance to the center of mass of earth at d=6.00 * 10^24 kg as mass of earth. Wow; that is really far compared to low earth orbit like where the international space station resides.
a) Calculate "little-g" from earth at this earth-moon distance (the "little-g" that the moon "experiences" from earth) using the formula:
g=G m/d^2
The mass of the Earth is 5.97 × 1024 kg and the mass of the Sun is 1.99 × 1030 kg. The average distance between the Sun and the Earth is 1.5 × 1011 m from their centers. Where is the center of mass of the Earth-Sun system located with respect to the center of the Sun? If the radius of the Sun is 6.96 × 108 m, is the center of mass within the Sun or outside the Sun?
Chapter 5 Solutions
Stars and Galaxies (MindTap Course List)
Ch. 5 - Prob. 1RQCh. 5 - Prob. 2RQCh. 5 - Prob. 3RQCh. 5 - Prob. 4RQCh. 5 - Prob. 5RQCh. 5 - Prob. 6RQCh. 5 - Prob. 7RQCh. 5 - Prob. 8RQCh. 5 - Prob. 9RQCh. 5 - Prob. 10RQ
Ch. 5 - Prob. 11RQCh. 5 - Prob. 12RQCh. 5 - Prob. 13RQCh. 5 - Prob. 14RQCh. 5 - Prob. 15RQCh. 5 - Prob. 16RQCh. 5 - Prob. 17RQCh. 5 - Prob. 18RQCh. 5 - Prob. 19RQCh. 5 - Prob. 20RQCh. 5 - Prob. 21RQCh. 5 - Prob. 22RQCh. 5 - Prob. 23RQCh. 5 - Prob. 24RQCh. 5 - Prob. 25RQCh. 5 - Prob. 26RQCh. 5 - Prob. 27RQCh. 5 - Prob. 28RQCh. 5 - Prob. 29RQCh. 5 - Prob. 30RQCh. 5 - Prob. 31RQCh. 5 - Prob. 32RQCh. 5 - Prob. 33RQCh. 5 - Why is the period of an open orbit undefined?
Ch. 5 - Prob. 35RQCh. 5 - Prob. 36RQCh. 5 - Prob. 37RQCh. 5 - Prob. 38RQCh. 5 - Prob. 39RQCh. 5 - Prob. 40RQCh. 5 - Prob. 41RQCh. 5 - Prob. 42RQCh. 5 - An astronomy textbook is to be dropped from a tall...Ch. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Describe the shape of the orbit followed by the...Ch. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - A moon of Jupiter takes 1.8 days to orbit at a...Ch. 5 - Prob. 1SPCh. 5 - Prob. 2SPCh. 5 - Prob. 1LLCh. 5 - Prob. 2LLCh. 5 - Prob. 3LL
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
- A single-stage rocket of mass 308 metric tons (not including fuel) carries a payload of 3150 kg to low-Earth orbit. The exhaust speed of the rockets cryogenic propellant is 3.20 103 m/s. a. If the speed of the rocket as it enters orbit is 8.00 km/s, what is the mass of propellant used during the rockets burn? b. The rocket is redesigned to boost its exhaust speed by a factor of two. What is the mass of propellant used in the redesigned rocket to carry the same payload to low-Earth orbit? c. Because the exhaust speed of the redesigned rocket is increased by a factor of two, why is the fuel consumption of the redesigned rocket not exactly half that of the original rocket?arrow_forwardReview. The first stage of a Saturn V space vehicle consumed fuel and oxidizer at the rate of 150 104 kg/s with an exhaust speed of 2.60 101 m/s. (a) Calculate the thrust produced by this engine. (b) Find the acceleration the vehicle had just as it lifted off the launch pad on the Earth, taking the vehicles initial mass as 3.00 106 kg.arrow_forwardThe centers of the earth and its moon are separated by an average of 3.84 c 10^5 m and the moon's mass is 7.35 c 10^22 kg. What does Earth's moon exert on a 10 kg mass?arrow_forward
- Calculate the location of the center of mass of the earth-moon system (that is, find the distance of the center of mass from the earth's center). The mass of the earth is mE=5.97×1024kgmE=5.97×1024kg and the mass of the moon is mM=7.35×1022kgmM=7.35×1022kg. The distance between the earth and the moon is d=3.84×108md=3.84×108m. Assume the orbital radius of the moon is equal to the distance between the centers of the earth and the moon. Express your answer with the appropriate units. Where is the center of mass with respect to the earth's surface? Assume the radius of the earth is 6.38×106m6.38×106m. Express your answer with the appropriate units. Enter positive value if the center of mass is above the earth's surface and negative value if it is below.arrow_forward1. The mass of Saturn is 5.68 ✕ 1026 kg, and the mass of Uranus is 8.68 ✕ 1025 kg. The average distance of separation, measured between their centers, is 1.44 ✕ 109 km. (a) Locate the center of mass (in m) of the Saturn-Uranus system as measured from the center of Saturn. m from Saturn's centerarrow_forwardCalculate the location of the center of mass of the earth-moon system (that is, find the distance of the center of mass from the earth's center). The mass of the earth is mp =5.97 x 10" kg and the mass of the moon is mM =7.35 x 10 kg. The distance between the earth and the moon is d=D3.84x 10 m. Assume the orbital radius of the moon is equal to the distance between the centers of the earth and the moon. Express your answer with the appropriate units.arrow_forward
- The mass of the Sun is 2 × 1030 kg, the mass of Mercury is 3.3 × 10 23 kg, and the center-to-center distance is 5.8 × 10 10 m. How far from the center of the Sun is the center of mass of the Sun– Mercury system? Note that the Sun's radius is 7 × 108 m.arrow_forward46. The mass of the Earth is 5.97 X 1024 kg, and the mass of the Moon is 7.35 X 102 kg. The distance of separa- tion, measured between their centers, is 3.84 X 10$ m. Locate the center of mass'of the Earth-Moon system as measured from the center of the Earth.arrow_forward- Show that the center of mass of the Earth-Sun system is located inside the Sun. (The Sun's mass Mo = 2 x 100 kg, the Earth's mass M. = 6 x 10ª kg, the Sun's radius Ro =7x 10° m, and the Earth-Sun distance d, = 1.5 x 10" m.) Where is the center of mass of the Sun-Jupiter system? (Jupiter's mass M, = 2 x 107 kg, Jupiter-Sun distance d, = 1.4 x 102 m.)arrow_forward
- two-point masses 6 kg and 10 kg are at 2m and 4 m form the origin of the X-axis. locate the position of the center of the masses of the two-point masses (a) from the origin (b) from the 6kg mass.arrow_forwardPlanets A and B have masses MA and MB , respectively, where MA>MB , and radii RA and RB , respectively. The centers of the planets are separated by a distance D. A spaceship of mass m uses its engines to fly through the two-planet system a distance r from the center of Planet A along the dashed line shown. Point P is on the dotted line and on the line connecting the centers of the two planets. On the axis attached, sketch a graph of the gravitational potential energy Ug of the two planet–spaceship system as a function of position y along the dashed line shown in the original figure. On the horizontal axis, point y<P is above point P in the figure. If a similar spaceship that has twice the mass of the original spaceship passes along the same path between the planets, would the escape speed at point P for the new spaceship be greater than, less than, or equal to the escape speed of the original spaceship at point P ? Explain your reasoningarrow_forwardThe Earth has a mass approximately 80 times that of the Moon. The distance between their centers is on average about 384000 km. How far from the center of the Earth is the center of mass of the Earth-Moon system? Multiple Choice Not enough information is given 4800 km 4860 km 4740 kmarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Foundations of Astronomy (MindTap Course List)PhysicsISBN:9781337399920Author:Michael A. Seeds, Dana BackmanPublisher:Cengage Learning
Stars and Galaxies (MindTap Course List)PhysicsISBN:9781337399944Author:Michael A. SeedsPublisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Foundations of Astronomy (MindTap Course List)
Physics
ISBN:9781337399920
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning
Stars and Galaxies (MindTap Course List)
Physics
ISBN:9781337399944
Author:Michael A. Seeds
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Time Dilation - Einstein's Theory Of Relativity Explained!; Author: Science ABC;https://www.youtube.com/watch?v=yuD34tEpRFw;License: Standard YouTube License, CC-BY