An object is subjected to a friction force with magnitude 8.10 N, which acts against the object's velocity. What is the work (in J) needed to move the object at constant speed for the following routes? y (m) B Ž (5.00, 5.00) A -x (m) (a) the purple path 0 to A followed by a return purple path to O J (b) the purple path O to C followed by a return blue path to O J (c) the blue path o to C followed by a return blue path to O J (d) Each of your three answers should be nonzero. What is the significance of this observation? O The force of friction is a nonconservative force. O The force of friction is a conservative force.
An object is subjected to a friction force with magnitude 8.10 N, which acts against the object's velocity. What is the work (in J) needed to move the object at constant speed for the following routes? y (m) B Ž (5.00, 5.00) A -x (m) (a) the purple path 0 to A followed by a return purple path to O J (b) the purple path O to C followed by a return blue path to O J (c) the blue path o to C followed by a return blue path to O J (d) Each of your three answers should be nonzero. What is the significance of this observation? O The force of friction is a nonconservative force. O The force of friction is a conservative force.
College Physics
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Chapter1: Units, Trigonometry. And Vectors
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![**Title: Understanding Work Done Against Friction**
**Introduction:**
An object is subjected to a friction force of magnitude 8.10 N, which acts against the object's velocity. We need to calculate the work done (in joules) to move the object at constant speed for different paths.
**Problem Statement:**
*What is the work needed to move the object at constant speed for the following routes?*
**Diagram Explanation:**
The diagram shows a grid with axes labeled \(x\) (meters) and \(y\) (meters). It includes points O, A, B, and C with the coordinates for C being (5.00, 5.00). The paths are:
- Purple path (O to A and return)
- Blue path (O to C and return)
- Red path (B to C)
**Paths and Questions:**
(a) Calculate the work for the purple path from O to A followed by a return purple path to O.
\[ \_\_\_\_\_\_\_ \, \text{J} \]
(b) Calculate the work for the purple path from O to C followed by a return blue path to O.
\[ \_\_\_\_\_\_\_ \, \text{J} \]
(c) Calculate the work for the blue path from O to C followed by a return blue path to O.
\[ \_\_\_\_\_\_\_ \, \text{J} \]
**Discussion:**
(d) Each of the three answers should be nonzero. What is the significance of this observation?
- The force of friction is a nonconservative force.
- The force of friction is a conservative force.
These problems help illustrate the concept of work in physics, particularly how nonconservative forces like friction affect the total work required for different paths.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08aa0b19-cba0-4fd4-b1f6-356b8c0f7ad5%2F42c6af4f-ba78-42b0-9304-2a394aa33233%2Fcbl2dnd_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Work Done Against Friction**
**Introduction:**
An object is subjected to a friction force of magnitude 8.10 N, which acts against the object's velocity. We need to calculate the work done (in joules) to move the object at constant speed for different paths.
**Problem Statement:**
*What is the work needed to move the object at constant speed for the following routes?*
**Diagram Explanation:**
The diagram shows a grid with axes labeled \(x\) (meters) and \(y\) (meters). It includes points O, A, B, and C with the coordinates for C being (5.00, 5.00). The paths are:
- Purple path (O to A and return)
- Blue path (O to C and return)
- Red path (B to C)
**Paths and Questions:**
(a) Calculate the work for the purple path from O to A followed by a return purple path to O.
\[ \_\_\_\_\_\_\_ \, \text{J} \]
(b) Calculate the work for the purple path from O to C followed by a return blue path to O.
\[ \_\_\_\_\_\_\_ \, \text{J} \]
(c) Calculate the work for the blue path from O to C followed by a return blue path to O.
\[ \_\_\_\_\_\_\_ \, \text{J} \]
**Discussion:**
(d) Each of the three answers should be nonzero. What is the significance of this observation?
- The force of friction is a nonconservative force.
- The force of friction is a conservative force.
These problems help illustrate the concept of work in physics, particularly how nonconservative forces like friction affect the total work required for different paths.
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