5. The acceleration of gravity on the Moon's surface is known to be about 1/6 the acceleration of gravity on the Earth. Given that the radius of the Moon is roughly 1/4 that of the Earth, find the mass of the Moon in terms of the mass of the Earth. (answer = 1/96 ME)

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter13: Gravitation
Section: Chapter Questions
Problem 27P: The acceleration due to gravity on the surface of a planet is three times as large as it is on the...
icon
Related questions
Topic Video
Question
5. The acceleration of gravity on the Moon's surface is known to be about 1/6 the acceleration of gravity on the
Earth. Given that the radius of the Moon is roughly 1/4 that of the Earth, find the mass of the Moon in terms
of the mass of the Earth. (answer = 1/96 ME)
Transcribed Image Text:5. The acceleration of gravity on the Moon's surface is known to be about 1/6 the acceleration of gravity on the Earth. Given that the radius of the Moon is roughly 1/4 that of the Earth, find the mass of the Moon in terms of the mass of the Earth. (answer = 1/96 ME)
Expert Solution
Step 1

The acceleration due to gravity for a planet is given by:

gp=GMr2.......(1)wheregp is the acceleration due to gravity of the planetG is the universal gravitational constantM is mass of the planetr is the radius of the planet

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
First law of motion
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Astronomy
Astronomy
Physics
ISBN:
9781938168284
Author:
Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher:
OpenStax
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning