The mass of glider A is less than that of glider B (i.e., mA< m). The final speed of glider A is L Two gliders, A and B, collide on a level, frictionless track, as shown below greater than that of glider B (i.e., va > Vn). Before collision After collision lö l= 0 Bi Is the magnitude of the final momentum of glider A, lpad, greater than, less than, or eaual to thet of elider B, Pnd? Draw a momentum vector diagram to support your answer. (An example of a momentum vector diagram can be found on the second page of the tutorial.) 2. Two gliders, C and D, collide on a level, frictionless track, as shown below. The mass of glider C is less than that of glider D (i.e., mc < mp). The initial speed of glider C is greater than that of glider D (i.e., VG > Vpi). After the collision, Gliders C and D move in opposite directions with the same final speed (i.e., ve = Vpt). Before collision After collision Cf odi C C Is the magnitude of the initial momentum of glider C, IPcl, greater than, less than, or equal to that of glider D, Ipp.l? Draw a momentum vector diagram to support your answer.

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Chapter1: Units, Trigonometry. And Vectors
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# Conservation of Momentum in One Dimension

## 1. Two gliders, A and B, collide on a level, frictionless track, as shown below.

The mass of glider A is less than that of glider B (i.e., \( m_A < m_B \)). The final speed of glider A is greater than that of glider B (i.e., \( v_{A_f} > v_{B_f} \)).

### Diagram:
- **Before Collision**
  - Glider A: \( \vec{v}_{A_i} \) (initial speed)
  - Glider B: \( |\vec{v}_{B_i}| = 0 \) (initial speed is zero)
- **After Collision**
  - Glider A: \( \vec{v}_{A_f} \) (final speed)
  - Glider B: \( \vec{v}_{B_f} \) (final speed)

**Question:**  
Is the magnitude of the final momentum of glider A, \( |\vec{p}_{A_f}| \), greater than, less than, or equal to that of glider B, \( |\vec{p}_{B_f}| \)? Draw a momentum vector diagram to support your answer. (An example of a momentum vector diagram can be found on the second page of the tutorial.)

---

## 2. Two gliders, C and D, collide on a level, frictionless track, as shown below.

The mass of glider C is less than that of glider D (i.e., \( m_C < m_D \)). The initial speed of glider C is greater than that of glider D (i.e., \( v_{C_i} > v_{D_i} \)). After the collision, Gliders C and D move in opposite directions with the same final speed (i.e., \( v_{C_f} = v_{D_f} \)).

### Diagram:
- **Before Collision**
  - Glider C: \( \vec{v}_{C_i} \) (initial speed)
  - Glider D: \( \vec{v}_{D_i} \) (initial speed)
- **After Collision**
  - Glider C: \( \vec{v}_{C_f} \) (final speed)
  - Glider D: \( \vec{v}_{D_f} \) (final speed)

**Question:**
Transcribed Image Text:# Conservation of Momentum in One Dimension ## 1. Two gliders, A and B, collide on a level, frictionless track, as shown below. The mass of glider A is less than that of glider B (i.e., \( m_A < m_B \)). The final speed of glider A is greater than that of glider B (i.e., \( v_{A_f} > v_{B_f} \)). ### Diagram: - **Before Collision** - Glider A: \( \vec{v}_{A_i} \) (initial speed) - Glider B: \( |\vec{v}_{B_i}| = 0 \) (initial speed is zero) - **After Collision** - Glider A: \( \vec{v}_{A_f} \) (final speed) - Glider B: \( \vec{v}_{B_f} \) (final speed) **Question:** Is the magnitude of the final momentum of glider A, \( |\vec{p}_{A_f}| \), greater than, less than, or equal to that of glider B, \( |\vec{p}_{B_f}| \)? Draw a momentum vector diagram to support your answer. (An example of a momentum vector diagram can be found on the second page of the tutorial.) --- ## 2. Two gliders, C and D, collide on a level, frictionless track, as shown below. The mass of glider C is less than that of glider D (i.e., \( m_C < m_D \)). The initial speed of glider C is greater than that of glider D (i.e., \( v_{C_i} > v_{D_i} \)). After the collision, Gliders C and D move in opposite directions with the same final speed (i.e., \( v_{C_f} = v_{D_f} \)). ### Diagram: - **Before Collision** - Glider C: \( \vec{v}_{C_i} \) (initial speed) - Glider D: \( \vec{v}_{D_i} \) (initial speed) - **After Collision** - Glider C: \( \vec{v}_{C_f} \) (final speed) - Glider D: \( \vec{v}_{D_f} \) (final speed) **Question:**
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