Note: Make sure your calculator is in radian mode for this problem, and that you switch it back after this problem. There are two particles (1 and 2) that are moving around in space. The force that particle 2 exerts on 1 is given by: F₁(t)= F₂e (t/T) 1 + Fy sin(2t/T) 3 Where the parameters have the values: F₂ = 16.8 N, F, = -106 N, T = 100 s. We will consider a time interval that begins at t;=0s and ends at t = 243 s. Impulse from 2 on 1, z Impulse from 2 on 1, y Impulse from 1 on 2 V
Note: Make sure your calculator is in radian mode for this problem, and that you switch it back after this problem. There are two particles (1 and 2) that are moving around in space. The force that particle 2 exerts on 1 is given by: F₁(t)= F₂e (t/T) 1 + Fy sin(2t/T) 3 Where the parameters have the values: F₂ = 16.8 N, F, = -106 N, T = 100 s. We will consider a time interval that begins at t;=0s and ends at t = 243 s. Impulse from 2 on 1, z Impulse from 2 on 1, y Impulse from 1 on 2 V
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
The mass of particle 1 is 11kg and the mass of particle 2 is 15kg. The initial velocity for particle 1 is (-104m/s)i + (216m/s)j and the initial velocity of particle 2 is (75m/s)i + (-152m/s)j.
![**Transcription for Educational Website**
---
**Note:** Make sure your calculator is in radian mode for this problem, and that you switch it back after this problem. There are two particles (1 and 2) that are moving around in space. The force that particle 2 exerts on 1 is given by:
\[ \vec{F}_{21}(t) = F_{ze}^{-t/(17\,T)}\, \hat{i} + F_y \sin(2\pi t/T)\, \hat{j} \]
Where the parameters have the values: \( F_z = 16.8\, \text{N} \), \( F_y = -106\, \text{N} \), \( T = 100\, \text{s} \).
We will consider a time interval that begins at \( t_i = 0\, \text{s} \) and ends at \( t_f = 243\, \text{s} \).
---
### Calculations:
- **Impulse from 2 on 1, \( x \)**
- **Impulse from 2 on 1, \( y \)**
- **Impulse from 1 on 2**
- **Average Force from 1 on 2**
- **Average Force from 2 on 1**
- **Final Velocity of Particle 1**
- **Final Velocity of Particle 2**
- **Momentum Change of the System**
- **Change in Kinetic Energy of Particle 1**
- **Change in Kinetic Energy of Particle 2**
- **Change in Kinetic Energy of the System**
---
### \( x \) Displacement of Particle 1
What is the \( x \) displacement for particle 1?
[Click here for a hint](#)
\[
\Delta x_1 = 19819.96633\, \text{m}
\]
- **Hint:**
- **Hint:**
- **Hint:**
- **Hint:**
- **Hint:**
- **Hint:**
---
### \( y \) Displacement of Particle 1
---
This section contains dynamic calculations related to forces, impulses, and displacements experienced by particles moving in space. Each element is interactive, offering hints to guide understanding and facilitate learning.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0deee22d-d9c3-472f-8b33-f8ccac178dd6%2F8459cd5e-852d-4691-9942-4c24681a78f9%2Fjp3648g_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
---
**Note:** Make sure your calculator is in radian mode for this problem, and that you switch it back after this problem. There are two particles (1 and 2) that are moving around in space. The force that particle 2 exerts on 1 is given by:
\[ \vec{F}_{21}(t) = F_{ze}^{-t/(17\,T)}\, \hat{i} + F_y \sin(2\pi t/T)\, \hat{j} \]
Where the parameters have the values: \( F_z = 16.8\, \text{N} \), \( F_y = -106\, \text{N} \), \( T = 100\, \text{s} \).
We will consider a time interval that begins at \( t_i = 0\, \text{s} \) and ends at \( t_f = 243\, \text{s} \).
---
### Calculations:
- **Impulse from 2 on 1, \( x \)**
- **Impulse from 2 on 1, \( y \)**
- **Impulse from 1 on 2**
- **Average Force from 1 on 2**
- **Average Force from 2 on 1**
- **Final Velocity of Particle 1**
- **Final Velocity of Particle 2**
- **Momentum Change of the System**
- **Change in Kinetic Energy of Particle 1**
- **Change in Kinetic Energy of Particle 2**
- **Change in Kinetic Energy of the System**
---
### \( x \) Displacement of Particle 1
What is the \( x \) displacement for particle 1?
[Click here for a hint](#)
\[
\Delta x_1 = 19819.96633\, \text{m}
\]
- **Hint:**
- **Hint:**
- **Hint:**
- **Hint:**
- **Hint:**
- **Hint:**
---
### \( y \) Displacement of Particle 1
---
This section contains dynamic calculations related to forces, impulses, and displacements experienced by particles moving in space. Each element is interactive, offering hints to guide understanding and facilitate learning.
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 4 steps with 4 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