A 5.0-kg mass is pushed along a straight line by a net force described in the graph below. The object is at rest at t = 0 and x = 0. Force vs Displacement 120 100 80 60 40 20 10 15 20 25 30 Displacement (m) During which displacement interval was the object's acceleration uniform? What acceleration did the object experience when x = 10 meters? How much work was done on the object during the first 20 meters? Force (N)

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Chapter1: Units, Trigonometry. And Vectors
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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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Can you solve evryone of these problems for the graph?

**Educational Exercise: Analyzing Motion and Impulse**

1. **Instantaneous Speed at x = 30 meters:**
   - What was the object's instantaneous speed at \( x = 30 \) meters? [_________]

2. **Total Impulse:**
   - What was the total impulse delivered to the object from \( x = 0 \) to \( x = 30 \) meters? [_________]

3. **Impulse Percentage in the Last 10 Meters:**
   - What percent of the impulse was delivered in the last 10 meters? [_________]

*Note: This exercise evaluates understanding of instantaneous speed, impulse calculation, and distribution over a distance.*
Transcribed Image Text:**Educational Exercise: Analyzing Motion and Impulse** 1. **Instantaneous Speed at x = 30 meters:** - What was the object's instantaneous speed at \( x = 30 \) meters? [_________] 2. **Total Impulse:** - What was the total impulse delivered to the object from \( x = 0 \) to \( x = 30 \) meters? [_________] 3. **Impulse Percentage in the Last 10 Meters:** - What percent of the impulse was delivered in the last 10 meters? [_________] *Note: This exercise evaluates understanding of instantaneous speed, impulse calculation, and distribution over a distance.*
**Refer to the following information for the next thirteen questions.**

A 5.0-kg mass is pushed along a straight line by a net force described in the graph below. The object is at rest at \( t = 0 \) and \( x = 0 \).

### Graph: Force vs Displacement

- **Title:** Force vs Displacement
- **X-axis:** Displacement (m) ranging from 0 to 30 meters
- **Y-axis:** Force (N) ranging from 0 to 120 Newtons
- **Description:** 
  - From 0 to 20 meters, the force is constant at approximately 100 N.
  - From 20 to 30 meters, the force decreases linearly to 0 N.

### Questions:

1. **During which displacement interval was the object's acceleration uniform?**  
   [Text box for answer]

2. **What acceleration did the object experience when \( x = 10 \) meters?**  
   [Text box for answer]

3. **How much work was done on the object during the first 20 meters?**  
   [Text box for answer]

4. **How much kinetic energy did the object gain during the first 20 meters?**  
   [Text box for answer]

5. **What was the object's instantaneous velocity at \( x = 20 \) meters?**  
   [Text box for answer]

6. **How much time was required to move it through the first 20 meters?**  
   [Text box for answer]

7. **How much did the object's momentum change in the first 20 meters?**  
   [Text box for answer]

8. **What was the object's instantaneous acceleration at \( x = 22 \) meters?**  
   [Text box for answer]

9. **Why can't the kinematics equations for uniformly accelerated motion be used to calculate the object's instantaneous velocity at \( x = 30 \) meters? What method should be used?**  
   [Text box for answer]

10. **How much work was done to move the object from 20 meters to 30 meters?**  
    [Text box for answer]
Transcribed Image Text:**Refer to the following information for the next thirteen questions.** A 5.0-kg mass is pushed along a straight line by a net force described in the graph below. The object is at rest at \( t = 0 \) and \( x = 0 \). ### Graph: Force vs Displacement - **Title:** Force vs Displacement - **X-axis:** Displacement (m) ranging from 0 to 30 meters - **Y-axis:** Force (N) ranging from 0 to 120 Newtons - **Description:** - From 0 to 20 meters, the force is constant at approximately 100 N. - From 20 to 30 meters, the force decreases linearly to 0 N. ### Questions: 1. **During which displacement interval was the object's acceleration uniform?** [Text box for answer] 2. **What acceleration did the object experience when \( x = 10 \) meters?** [Text box for answer] 3. **How much work was done on the object during the first 20 meters?** [Text box for answer] 4. **How much kinetic energy did the object gain during the first 20 meters?** [Text box for answer] 5. **What was the object's instantaneous velocity at \( x = 20 \) meters?** [Text box for answer] 6. **How much time was required to move it through the first 20 meters?** [Text box for answer] 7. **How much did the object's momentum change in the first 20 meters?** [Text box for answer] 8. **What was the object's instantaneous acceleration at \( x = 22 \) meters?** [Text box for answer] 9. **Why can't the kinematics equations for uniformly accelerated motion be used to calculate the object's instantaneous velocity at \( x = 30 \) meters? What method should be used?** [Text box for answer] 10. **How much work was done to move the object from 20 meters to 30 meters?** [Text box for answer]
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