The molecules in a six-particle gas have velocities ₁ (201-305) m/s v₂ = (40î +90j) m/s V3 = (-80i +20j) m/s V4 = 30î m/s vs = (40i - 40j) m/s v₁ = (-50i-40j) m/s Calculate avg Express the x and y components of the velocity in meters per second separated by a comma. Uz avg) Uy avg 0,0 m/s Submit Previous Answers ✓ Correct Part B Calculate Uavg Express your answer with the appropriate units. I Vavg0 μA 3 m S ?
The molecules in a six-particle gas have velocities ₁ (201-305) m/s v₂ = (40î +90j) m/s V3 = (-80i +20j) m/s V4 = 30î m/s vs = (40i - 40j) m/s v₁ = (-50i-40j) m/s Calculate avg Express the x and y components of the velocity in meters per second separated by a comma. Uz avg) Uy avg 0,0 m/s Submit Previous Answers ✓ Correct Part B Calculate Uavg Express your answer with the appropriate units. I Vavg0 μA 3 m S ?
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)...
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Question
![## Transcription for Educational Website
### The molecules in a six-particle gas have velocities:
\[
\vec{v}_1 = (20\hat{i} - 30\hat{j}) \, \text{m/s}
\]
\[
\vec{v}_2 = (40\hat{i} + 90\hat{j}) \, \text{m/s}
\]
\[
\vec{v}_3 = (-80\hat{i} + 20\hat{j}) \, \text{m/s}
\]
\[
\vec{v}_4 = 30\hat{j} \, \text{m/s}
\]
\[
\vec{v}_5 = (40\hat{i} - 40\hat{j}) \, \text{m/s}
\]
\[
\vec{v}_6 = (-50\hat{i} - 40\hat{j}) \, \text{m/s}
\]
### Part A
**Calculate \(\vec{v}_{\text{avg}}\):**
*Express the x and y components of the velocity in meters per second separated by a comma.*
\[
v_{x\, \text{avg}}, v_{y\, \text{avg}} = 0,0 \, \text{m/s}
\]
**Feedback:**
- Status: Correct
### Part B
**Calculate \(\vec{v}_{\text{avg}}\):**
*Express your answer with the appropriate units.*
\[
v_{\text{avg}} = 0 \, \text{m/s}
\]
**Submission:**
- Status: Incorrect; 5 attempts remaining
### Explanation:
This part involves calculating the average velocity of the six-particle gas. The velocities are given in vector form, and the task is to find the components of the average velocity and then express the magnitude of the average velocity.
**Graphs/Diagrams:**
There are no graphs or diagrams provided in this example.
### Additional Information for Students:
- When calculating average velocities, remember to sum up the components of all individual velocities and divide by the number of particles to find the average components.
- To find the magnitude of the average velocity vector, use the formula:
\[
v_{\text{avg}} = \sqrt{(v_{x\, \text{avg}})^](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa256fefa-da87-4b9d-ada9-af6adbfb8198%2Fd4b92107-343d-4686-b70c-7393a3d37726%2Fzdg2wsf_processed.png&w=3840&q=75)
Transcribed Image Text:## Transcription for Educational Website
### The molecules in a six-particle gas have velocities:
\[
\vec{v}_1 = (20\hat{i} - 30\hat{j}) \, \text{m/s}
\]
\[
\vec{v}_2 = (40\hat{i} + 90\hat{j}) \, \text{m/s}
\]
\[
\vec{v}_3 = (-80\hat{i} + 20\hat{j}) \, \text{m/s}
\]
\[
\vec{v}_4 = 30\hat{j} \, \text{m/s}
\]
\[
\vec{v}_5 = (40\hat{i} - 40\hat{j}) \, \text{m/s}
\]
\[
\vec{v}_6 = (-50\hat{i} - 40\hat{j}) \, \text{m/s}
\]
### Part A
**Calculate \(\vec{v}_{\text{avg}}\):**
*Express the x and y components of the velocity in meters per second separated by a comma.*
\[
v_{x\, \text{avg}}, v_{y\, \text{avg}} = 0,0 \, \text{m/s}
\]
**Feedback:**
- Status: Correct
### Part B
**Calculate \(\vec{v}_{\text{avg}}\):**
*Express your answer with the appropriate units.*
\[
v_{\text{avg}} = 0 \, \text{m/s}
\]
**Submission:**
- Status: Incorrect; 5 attempts remaining
### Explanation:
This part involves calculating the average velocity of the six-particle gas. The velocities are given in vector form, and the task is to find the components of the average velocity and then express the magnitude of the average velocity.
**Graphs/Diagrams:**
There are no graphs or diagrams provided in this example.
### Additional Information for Students:
- When calculating average velocities, remember to sum up the components of all individual velocities and divide by the number of particles to find the average components.
- To find the magnitude of the average velocity vector, use the formula:
\[
v_{\text{avg}} = \sqrt{(v_{x\, \text{avg}})^
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