Question 8 of 13 > Ø Attempt 4 A 3.63 kg object constrained to move along the x-axis is < Feedback 15 subjected to a time-varying force as shown on the graph. 12 You have not correctly calculated Au Find the change in the object's velocity over the specified 9- time intervals. between t¡ = 10 s and tf = 17.5 s. 6- 2 3- Remember that the general form for * 0- What is the change in velocity Av between t; = 0 s and 4 the equation of a line is -3- tf = 4.67 s? -6- y = Mx + B -9- -12 where M is the slope, x is the Av = 15.44 m/s independent variable, and B is the Fc y-intercept. You can use this to
Question 8 of 13 > Ø Attempt 4 A 3.63 kg object constrained to move along the x-axis is < Feedback 15 subjected to a time-varying force as shown on the graph. 12 You have not correctly calculated Au Find the change in the object's velocity over the specified 9- time intervals. between t¡ = 10 s and tf = 17.5 s. 6- 2 3- Remember that the general form for * 0- What is the change in velocity Av between t; = 0 s and 4 the equation of a line is -3- tf = 4.67 s? -6- y = Mx + B -9- -12 where M is the slope, x is the Av = 15.44 m/s independent variable, and B is the Fc y-intercept. You can use this to
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 8 of 13**
A 3.63 kg object constrained to move along the x-axis is subjected to a time-varying force as shown on the graph. Find the change in the object's velocity over the specified time intervals.
**What is the change in velocity \( \Delta v \) between \( t_i = 0 \) s and \( t_f = 4.67 \) s?**
\[ \Delta v = \boxed{15.44} \, \text{m/s} \]
**What is \( \Delta v \) between \( t_i = 5.61 \) s and \( t_f = 10 \) s?**
\[ \Delta v = \boxed{9.55} \, \text{m/s} \]
**What is \( \Delta v \) between \( t_i = 10 \) s and \( t_f = 17.5 \) s?**
\[ \Delta v = \boxed{-7.64} \, \text{m/s} \]
*Incorrect*
**Graph Description:**
The graph shows the force \( F_x(N) \) versus time. The force is constant at 12 N from \( t = 0 \) to around \( t = 4.5 \) seconds, then drops to 0 N until \( t = 10 \) seconds.
**Feedback:**
You have not correctly calculated \( \Delta v \) between \( t_i = 10 \) s and \( t_f = 17.5 \) s.
Remember that the general form for the equation of a line is
\[ y = Mx + B \]
where \( M \) is the slope, \( x \) is the independent variable, and \( B \) is the y-intercept. You can use this to determine the value of the force at \( t = 17.5 \) s.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58894f4b-ff8d-4798-a18c-d1e440dca3e0%2F2fc31b92-8cb9-4bd9-9501-cc43b435f009%2F0bcsyc8_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 8 of 13**
A 3.63 kg object constrained to move along the x-axis is subjected to a time-varying force as shown on the graph. Find the change in the object's velocity over the specified time intervals.
**What is the change in velocity \( \Delta v \) between \( t_i = 0 \) s and \( t_f = 4.67 \) s?**
\[ \Delta v = \boxed{15.44} \, \text{m/s} \]
**What is \( \Delta v \) between \( t_i = 5.61 \) s and \( t_f = 10 \) s?**
\[ \Delta v = \boxed{9.55} \, \text{m/s} \]
**What is \( \Delta v \) between \( t_i = 10 \) s and \( t_f = 17.5 \) s?**
\[ \Delta v = \boxed{-7.64} \, \text{m/s} \]
*Incorrect*
**Graph Description:**
The graph shows the force \( F_x(N) \) versus time. The force is constant at 12 N from \( t = 0 \) to around \( t = 4.5 \) seconds, then drops to 0 N until \( t = 10 \) seconds.
**Feedback:**
You have not correctly calculated \( \Delta v \) between \( t_i = 10 \) s and \( t_f = 17.5 \) s.
Remember that the general form for the equation of a line is
\[ y = Mx + B \]
where \( M \) is the slope, \( x \) is the independent variable, and \( B \) is the y-intercept. You can use this to determine the value of the force at \( t = 17.5 \) s.
![**Title: Analyzing Velocity Change Under Time-Varying Force**
A 3.63 kg object constrained to move along the x-axis is subjected to a time-varying force as depicted in the graph. We aim to determine the change in the object's velocity over specific time intervals.
**Graph Explanation:**
The graph illustrates the force \( F_x \) in Newtons (N) applied to the object over time \( t \) in seconds (s). It shows a fluctuating force that initially holds at 12 N until around 4.67 s, decreases to approximately -10 N around 10 s, and eventually returns to a slightly positive value by 20 s.
**Calculations:**
1. **Change in Velocity \( \Delta v \) for \( t_i = 0 \) s and \( t_f = 4.67 \) s:**
\[
\Delta v = 15.44 \, \text{m/s}
\]
2. **Change in Velocity \( \Delta v \) for \( t_i = 5.61 \) s and \( t_f = 10 \) s:**
\[
\Delta v = 9.55 \, \text{m/s}
\]
3. **Change in Velocity \( \Delta v \) for \( t_i = 10 \) s and \( t_f = 17.5 \) s:**
\[
\Delta v = -7.64 \, \text{m/s} \quad (\text{Incorrect})
\]
The problem assesses the change in velocity (\( \Delta v \)) of a mass influenced by a varying force over specified intervals.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58894f4b-ff8d-4798-a18c-d1e440dca3e0%2F2fc31b92-8cb9-4bd9-9501-cc43b435f009%2F35i74m4_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Analyzing Velocity Change Under Time-Varying Force**
A 3.63 kg object constrained to move along the x-axis is subjected to a time-varying force as depicted in the graph. We aim to determine the change in the object's velocity over specific time intervals.
**Graph Explanation:**
The graph illustrates the force \( F_x \) in Newtons (N) applied to the object over time \( t \) in seconds (s). It shows a fluctuating force that initially holds at 12 N until around 4.67 s, decreases to approximately -10 N around 10 s, and eventually returns to a slightly positive value by 20 s.
**Calculations:**
1. **Change in Velocity \( \Delta v \) for \( t_i = 0 \) s and \( t_f = 4.67 \) s:**
\[
\Delta v = 15.44 \, \text{m/s}
\]
2. **Change in Velocity \( \Delta v \) for \( t_i = 5.61 \) s and \( t_f = 10 \) s:**
\[
\Delta v = 9.55 \, \text{m/s}
\]
3. **Change in Velocity \( \Delta v \) for \( t_i = 10 \) s and \( t_f = 17.5 \) s:**
\[
\Delta v = -7.64 \, \text{m/s} \quad (\text{Incorrect})
\]
The problem assesses the change in velocity (\( \Delta v \)) of a mass influenced by a varying force over specified intervals.
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