Determine the x- and y-components of the final momentum of object 1. Express your answers separated by a comma in kilogram-meters per second. (p1,z)f. (pl,y)f Part B VO ΑΣΦ Show your answer by drawing the final momentum vector of object 1. ? kg-m/s

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### Determine the \( x \)- and \( y \)-components of the final momentum of object 1.

#### Instructions:
Express your answers separated by a comma in kilogram-meters per second.

\[
(p_{1,x})_f, (p_{1,y})_f = \quad \text{kg} \cdot \text{m/s}
\]

---

### Part B

#### Instructions:
Show your answer by drawing the final momentum vector of object 1.

**Draw the vector starting at the origin.**

##### Diagram Explanation:

The diagram provided is a Cartesian coordinate system with labeled axes:
- \( p_{y} \) (kg·m/s) on the vertical axis.
- \( p_{x} \) (kg·m/s) on the horizontal axis.

**Vectors:**
- \( \vec{p_{1f}} \) is an arrow pointing to the first quadrant, indicating a positive \( x \)- and positive \( y \)-component.
- \( \vec{p_{2f}} \) is an arrow pointing downward, with a slight angle toward the left, suggesting a negative \( y \)-component and negligible \( x \)-component.
- \( \vec{p_{2i}} \) is an arrow pointing to the left, indicating a negative \( x \)-component with zero \( y \)-component.

**Note:**
To solve for the \( x \)- and \( y \)-components of the final momentum of object 1, use the given vector diagram as a guide and insert the values into the provided input field.
Transcribed Image Text:### Determine the \( x \)- and \( y \)-components of the final momentum of object 1. #### Instructions: Express your answers separated by a comma in kilogram-meters per second. \[ (p_{1,x})_f, (p_{1,y})_f = \quad \text{kg} \cdot \text{m/s} \] --- ### Part B #### Instructions: Show your answer by drawing the final momentum vector of object 1. **Draw the vector starting at the origin.** ##### Diagram Explanation: The diagram provided is a Cartesian coordinate system with labeled axes: - \( p_{y} \) (kg·m/s) on the vertical axis. - \( p_{x} \) (kg·m/s) on the horizontal axis. **Vectors:** - \( \vec{p_{1f}} \) is an arrow pointing to the first quadrant, indicating a positive \( x \)- and positive \( y \)-component. - \( \vec{p_{2f}} \) is an arrow pointing downward, with a slight angle toward the left, suggesting a negative \( y \)-component and negligible \( x \)-component. - \( \vec{p_{2i}} \) is an arrow pointing to the left, indicating a negative \( x \)-component with zero \( y \)-component. **Note:** To solve for the \( x \)- and \( y \)-components of the final momentum of object 1, use the given vector diagram as a guide and insert the values into the provided input field.
The diagram presents a momentum vector graph with an x-axis labeled \( p_x \) (kg·m/s) and a y-axis labeled \( p_y \) (kg·m/s). The graph shows three vectors:

1. **Vector \( \vec{p}_{1i} \)**: 
   - Originates from the origin of the graph.
   - Points into the first quadrant, indicating a positive x and y direction.
  
2. **Vector \( \vec{p}_{2i} \)**:
   - Begins from the origin as well.
   - Extends into the second quadrant, indicating a negative x direction and positive y direction.

3. **Vector \( \vec{p}_{2f} \)**:
   - Starts at the origin.
   - Points directly downward into the fourth quadrant, indicating a negative y direction and slightly negative x direction.

The vectors represent initial and final momentum states of particles, demonstrating the principles of momentum in two-dimensional collisions or interactions.
Transcribed Image Text:The diagram presents a momentum vector graph with an x-axis labeled \( p_x \) (kg·m/s) and a y-axis labeled \( p_y \) (kg·m/s). The graph shows three vectors: 1. **Vector \( \vec{p}_{1i} \)**: - Originates from the origin of the graph. - Points into the first quadrant, indicating a positive x and y direction. 2. **Vector \( \vec{p}_{2i} \)**: - Begins from the origin as well. - Extends into the second quadrant, indicating a negative x direction and positive y direction. 3. **Vector \( \vec{p}_{2f} \)**: - Starts at the origin. - Points directly downward into the fourth quadrant, indicating a negative y direction and slightly negative x direction. The vectors represent initial and final momentum states of particles, demonstrating the principles of momentum in two-dimensional collisions or interactions.
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