) The magnitude of the object's momenta are equal but their directions are opposite. The magnitude of object A's momentum is greater than object B's momen The magnitude of the objects' momenta and direction are equal. The magnitude of object A's momentum is less than objectB's momentum
) The magnitude of the object's momenta are equal but their directions are opposite. The magnitude of object A's momentum is greater than object B's momen The magnitude of the objects' momenta and direction are equal. The magnitude of object A's momentum is less than objectB's momentum
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
100%
answer choices in the 2nd screenshot
![**Question:**
Object A, with a mass of 5 kg, is moving at a velocity of 3 m/s while Object B, with a mass of 3 kg, is moving at a velocity of -5 m/s. Based on the calculations of their momenta, which of the following statements is correct?
- The magnitude of the object's momenta are equal but their directions are opposite.
- The magnitude of object A's momentum is greater than object B's momentum.
- The magnitude of the objects' momenta and direction are equal.
- The magnitude of object A's momentum is less than object B's momentum.
**Explanation:**
To determine which statement is correct, we need to calculate the momentum of both objects:
1. **Momentum formula:**
\[
\text{Momentum} = \text{mass} \times \text{velocity}
\]
2. **Calculate momentum for Object A:**
\[
\text{Momentum of A} = 5 \, \text{kg} \times 3 \, \text{m/s} = 15 \, \text{kg m/s}
\]
3. **Calculate momentum for Object B:**
\[
\text{Momentum of B} = 3 \, \text{kg} \times (-5 \, \text{m/s}) = -15 \, \text{kg m/s}
\]
**Conclusion:**
The magnitude of both objects' momenta is equal; however, the directions are opposite because Object B's velocity is negative. Therefore, the correct statement is:
- The magnitude of the object's momenta are equal but their directions are opposite.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb28c6a85-2344-479e-b9ae-60e97f3dd8df%2F8ea44ebe-405b-4fea-8b60-25884657e7a5%2F23chk1q_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
Object A, with a mass of 5 kg, is moving at a velocity of 3 m/s while Object B, with a mass of 3 kg, is moving at a velocity of -5 m/s. Based on the calculations of their momenta, which of the following statements is correct?
- The magnitude of the object's momenta are equal but their directions are opposite.
- The magnitude of object A's momentum is greater than object B's momentum.
- The magnitude of the objects' momenta and direction are equal.
- The magnitude of object A's momentum is less than object B's momentum.
**Explanation:**
To determine which statement is correct, we need to calculate the momentum of both objects:
1. **Momentum formula:**
\[
\text{Momentum} = \text{mass} \times \text{velocity}
\]
2. **Calculate momentum for Object A:**
\[
\text{Momentum of A} = 5 \, \text{kg} \times 3 \, \text{m/s} = 15 \, \text{kg m/s}
\]
3. **Calculate momentum for Object B:**
\[
\text{Momentum of B} = 3 \, \text{kg} \times (-5 \, \text{m/s}) = -15 \, \text{kg m/s}
\]
**Conclusion:**
The magnitude of both objects' momenta is equal; however, the directions are opposite because Object B's velocity is negative. Therefore, the correct statement is:
- The magnitude of the object's momenta are equal but their directions are opposite.
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
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.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