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 mp = 5.97 x 10 kg and the mass of the moon is mM =7.35 x 1022 kg. The distance between the earth and the moon is d=3.84 x 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.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
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 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.
Transcribed Image Text: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 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.
Part B
Where is the center of mass with respect to the earth's surface? Assume the radius of the earth is
6.38 x 10
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.
Transcribed Image Text:Part B Where is the center of mass with respect to the earth's surface? Assume the radius of the earth is 6.38 x 10 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.
Expert Solution
Step 1

Part A:

Center of Mass of the Earth-moon system from earth's Center = (MEarth ×0) + (MMoon × d) MEarth + MMoon= MMoon ×dMEarth + MMoon= 7.35 ×1022 ×3.84×1085.97 ×1024 +7.35 ×1022 = 4.67 ×106 m

Note since moon's weight is very less compared to the earth, the center of mass of the earth-moon system when measured w.r.t. earth center is below the surface of the earth.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Centripetal force
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
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON