A 5.0-kg5.0-kg block slides in a straight line. The velocity of the block as a function of time is displayed in the ??–?vx–t graph, as shown in the figure.

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Chapter1: Units, Trigonometry. And Vectors
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A 5.0-kg5.0-kg block slides in a straight line. The velocity of the block as a function of time is displayed in the ??–?vx–t graph, as shown in the figure.

The graph depicts the velocity \( v_x \) of an object in meters per second (m/s) over time \( t \) in seconds (s). 

Key features of the graph:

- **Axes**: The horizontal axis represents time \( t \) in seconds ranging from 0 to 7 seconds. The vertical axis represents velocity \( v_x \) in meters per second, ranging from -3 to 3 m/s.

- **Graph Description**:
  - At \( t = 0 \) s, the velocity \( v_x \) is 2 m/s.
  - From \( t = 0 \) to \( t = 2 \) s, the velocity decreases linearly to -2 m/s.
  - From \( t = 2 \) s to \( t = 5 \) s, the velocity remains constant at -2 m/s.
  - From \( t = 5 \) s to \( t = 6 \) s, the velocity increases linearly back to 1 m/s.
  - From \( t = 6 \) s to \( t = 7 \) s, the velocity remains constant at 1 m/s.

This graph illustrates a piecewise linear function, demonstrating changes in velocity over a 7-second interval. It highlights periods where the object accelerates, maintains constant velocity, and decelerates.
Transcribed Image Text:The graph depicts the velocity \( v_x \) of an object in meters per second (m/s) over time \( t \) in seconds (s). Key features of the graph: - **Axes**: The horizontal axis represents time \( t \) in seconds ranging from 0 to 7 seconds. The vertical axis represents velocity \( v_x \) in meters per second, ranging from -3 to 3 m/s. - **Graph Description**: - At \( t = 0 \) s, the velocity \( v_x \) is 2 m/s. - From \( t = 0 \) to \( t = 2 \) s, the velocity decreases linearly to -2 m/s. - From \( t = 2 \) s to \( t = 5 \) s, the velocity remains constant at -2 m/s. - From \( t = 5 \) s to \( t = 6 \) s, the velocity increases linearly back to 1 m/s. - From \( t = 6 \) s to \( t = 7 \) s, the velocity remains constant at 1 m/s. This graph illustrates a piecewise linear function, demonstrating changes in velocity over a 7-second interval. It highlights periods where the object accelerates, maintains constant velocity, and decelerates.
**Net Force Calculation Exercise**

Please calculate the average net force on the block for the specified time intervals below. Enter your answers in the designated fields.

1. **Calculate the average net force \( F_{1x} \) on the block for the time interval \( t = 0 \) to \( 1 \, \text{s} \).**

   \( F_{1x} = \) [______] N

2. **Calculate the average net force \( F_{2x} \) on the block for the time interval \( t = 1 \) to \( 3 \, \text{s} \).**

   \( F_{2x} = \) [______] N

3. **Calculate the average net force \( F_{3x} \) on the block for the time interval \( t = 3 \) to \( 5 \, \text{s} \).**

   \( F_{3x} = \) [______] N

4. **Calculate the average net force \( F_{4x} \) on the block for the time interval \( t = 5 \) to \( 6 \, \text{s} \).**

   \( F_{4x} = \) [______] N

5. **Calculate the average net force \( F_{5x} \) on the block for the time interval \( t = 6 \) to \( 7 \, \text{s} \).**

   \( F_{5x} = \) [______] N
Transcribed Image Text:**Net Force Calculation Exercise** Please calculate the average net force on the block for the specified time intervals below. Enter your answers in the designated fields. 1. **Calculate the average net force \( F_{1x} \) on the block for the time interval \( t = 0 \) to \( 1 \, \text{s} \).** \( F_{1x} = \) [______] N 2. **Calculate the average net force \( F_{2x} \) on the block for the time interval \( t = 1 \) to \( 3 \, \text{s} \).** \( F_{2x} = \) [______] N 3. **Calculate the average net force \( F_{3x} \) on the block for the time interval \( t = 3 \) to \( 5 \, \text{s} \).** \( F_{3x} = \) [______] N 4. **Calculate the average net force \( F_{4x} \) on the block for the time interval \( t = 5 \) to \( 6 \, \text{s} \).** \( F_{4x} = \) [______] N 5. **Calculate the average net force \( F_{5x} \) on the block for the time interval \( t = 6 \) to \( 7 \, \text{s} \).** \( F_{5x} = \) [______] N
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