d by a gravitational force of 9.3 N. What will the force of attraction be if the distance between the two masses e final answer to four decimal places.) ill be 148.8 ON.
d by a gravitational force of 9.3 N. What will the force of attraction be if the distance between the two masses e final answer to four decimal places.) ill be 148.8 ON.
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)...
Related questions
Question
![**Question:**
Two masses are attracted by a gravitational force of 9.3 N. What will the force of attraction be if the distance between the two masses is quadrupled? (Round the final answer to four decimal places.)
**Incorrect Response Given:**
The force of attraction will be \(148.8\) N.
**Explanation:**
The gravitational force between two masses is governed by Newton's Law of Universal Gravitation, which is mathematically expressed as:
\[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \]
Where:
- \( F \) is the gravitational force between the masses,
- \( G \) is the gravitational constant,
- \( m_1 \) and \( m_2 \) are the masses,
- \( r \) is the distance between the centers of the two masses.
When the distance \( r \) is quadrupled, the force \( F \) becomes:
\[ F' = \frac{G \cdot m_1 \cdot m_2}{(4r)^2} = \frac{G \cdot m_1 \cdot m_2}{16r^2} = \frac{1}{16} \cdot F \]
So the new force \( F' \) is \( \frac{1}{16} \) of the original force.
Given the original force \( F = 9.3 \) N, the new force is:
\[ F' = \frac{9.3}{16} \approx 0.5813 \, \text{N} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fefd1da3f-cb32-49f3-8aa7-bea0cbc5b54f%2F33e28e29-8776-4313-9f09-7bf7c47f53d1%2Foej26py_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
Two masses are attracted by a gravitational force of 9.3 N. What will the force of attraction be if the distance between the two masses is quadrupled? (Round the final answer to four decimal places.)
**Incorrect Response Given:**
The force of attraction will be \(148.8\) N.
**Explanation:**
The gravitational force between two masses is governed by Newton's Law of Universal Gravitation, which is mathematically expressed as:
\[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \]
Where:
- \( F \) is the gravitational force between the masses,
- \( G \) is the gravitational constant,
- \( m_1 \) and \( m_2 \) are the masses,
- \( r \) is the distance between the centers of the two masses.
When the distance \( r \) is quadrupled, the force \( F \) becomes:
\[ F' = \frac{G \cdot m_1 \cdot m_2}{(4r)^2} = \frac{G \cdot m_1 \cdot m_2}{16r^2} = \frac{1}{16} \cdot F \]
So the new force \( F' \) is \( \frac{1}{16} \) of the original force.
Given the original force \( F = 9.3 \) N, the new force is:
\[ F' = \frac{9.3}{16} \approx 0.5813 \, \text{N} \]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON