The graph shows the x-directed force \( F_x \) acting on an object as a function of the position \( x \) of the object. For each numbered interval given, find the work \( W_i \) done on the object. 1) From \( x = 0 \, \text{m} \) to \( x = 2.70 \, \text{m} \) \[ W_1 = \, \text{J} \] *(Joules)* 2) From \( x = 3.00 \, \text{m} \) to \( x = 6.70 \, \text{m} \) \[ W_2 = \, \text{J} \] *(Joules)* 3) From \( x = 7.00 \, \text{m} \) to \( x = 8.90 \, \text{m} \) \[ W_3 = \, \text{J} \] *(Joules)* **Graph Description:** The graph is a plot of force \( F_x \) (in Newtons) on the y-axis against position \( x \) (in meters) on the x-axis. The force values and positions are indicated with points connected by straight lines. - From \( x = 0 \, \text{m} \) to \( x = 2.70 \, \text{m} \), the force increases from 2 N to 5 N. - Between \( x = 2.70 \, \text{m} \) and \( x = 4.00 \, \text{m} \), the force decreases from 5 N back to 2 N. - From \( x = 4.00 \, \text{m} \) to \( x = 5.00 \, \text{m} \), the force drops to 0 N, then decreases further to -3 N at \( x = 6.00 \, \text{m} \). - At \( x = 7.00 \, \text{m} \), the force is at -5 N, and remains constant until \( x = 8.50 \, \text{m} \) before increasing to -2

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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The graph shows the x-directed force \( F_x \) acting on an object as a function of the position \( x \) of the object. For each numbered interval given, find the work \( W_i \) done on the object.

1) From \( x = 0 \, \text{m} \) to \( x = 2.70 \, \text{m} \) 
   \[
   W_1 = \, \text{J}
   \]
   *(Joules)*

2) From \( x = 3.00 \, \text{m} \) to \( x = 6.70 \, \text{m} \) 
   \[
   W_2 = \, \text{J}
   \]
   *(Joules)*

3) From \( x = 7.00 \, \text{m} \) to \( x = 8.90 \, \text{m} \) 
   \[
   W_3 = \, \text{J}
   \]
   *(Joules)*

**Graph Description:**

The graph is a plot of force \( F_x \) (in Newtons) on the y-axis against position \( x \) (in meters) on the x-axis. The force values and positions are indicated with points connected by straight lines. 

- From \( x = 0 \, \text{m} \) to \( x = 2.70 \, \text{m} \), the force increases from 2 N to 5 N.
- Between \( x = 2.70 \, \text{m} \) and \( x = 4.00 \, \text{m} \), the force decreases from 5 N back to 2 N.
- From \( x = 4.00 \, \text{m} \) to \( x = 5.00 \, \text{m} \), the force drops to 0 N, then decreases further to -3 N at \( x = 6.00 \, \text{m} \).
- At \( x = 7.00 \, \text{m} \), the force is at -5 N, and remains constant until \( x = 8.50 \, \text{m} \) before increasing to -2
Transcribed Image Text:The graph shows the x-directed force \( F_x \) acting on an object as a function of the position \( x \) of the object. For each numbered interval given, find the work \( W_i \) done on the object. 1) From \( x = 0 \, \text{m} \) to \( x = 2.70 \, \text{m} \) \[ W_1 = \, \text{J} \] *(Joules)* 2) From \( x = 3.00 \, \text{m} \) to \( x = 6.70 \, \text{m} \) \[ W_2 = \, \text{J} \] *(Joules)* 3) From \( x = 7.00 \, \text{m} \) to \( x = 8.90 \, \text{m} \) \[ W_3 = \, \text{J} \] *(Joules)* **Graph Description:** The graph is a plot of force \( F_x \) (in Newtons) on the y-axis against position \( x \) (in meters) on the x-axis. The force values and positions are indicated with points connected by straight lines. - From \( x = 0 \, \text{m} \) to \( x = 2.70 \, \text{m} \), the force increases from 2 N to 5 N. - Between \( x = 2.70 \, \text{m} \) and \( x = 4.00 \, \text{m} \), the force decreases from 5 N back to 2 N. - From \( x = 4.00 \, \text{m} \) to \( x = 5.00 \, \text{m} \), the force drops to 0 N, then decreases further to -3 N at \( x = 6.00 \, \text{m} \). - At \( x = 7.00 \, \text{m} \), the force is at -5 N, and remains constant until \( x = 8.50 \, \text{m} \) before increasing to -2
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