Block 1, of mass mį = 2.90 kg , moves along a frictionless air track with speed vị = 13.0 m/s . It collides with block 2, of mass m2 = 57.0 kg , which was initially at rest. The blocks stick together after the collision. (Figure 1) Part A Find the magnitude p; of the total initial momentum of the two-block system. Express your answer numerically. • View Available Hint(s) Pi = kg · m/s Figure 1 of 1 Submit Before collision: Part B m2 2 Find vf , the magnitude of the final velocity of the two-block system. Express your answer numerically.

College Physics
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Physics Problem: Collisions on a Frictionless Track**

**Problem Statement:**

Block 1, with mass \( m_1 = 2.90 \, \text{kg} \), moves along a frictionless air track with a speed of \( v_1 = 13.0 \, \text{m/s} \). It collides with Block 2, which has a mass \( m_2 = 57.0 \, \text{kg} \) and is initially at rest. The blocks stick together after the collision.

**Reference Figure:**

- **Before collision:** 
  - Block 1 (\( m_1 \)) is moving towards Block 2 with a velocity \( v_1 \).
  - Block 2 (\( m_2 \)) is stationary.

- **After collision:** 
  - Both blocks stick together and move with a common final velocity \( v_f \).

**Tasks:**

**Part A:**
Find the magnitude \( p_i \) of the total initial momentum of the two-block system.

- Express your answer numerically.

**Input for Answer:**
\[ p_i = \, \, \text{kg} \cdot \text{m/s} \]

**Part B:**
Find \( v_f \), the magnitude of the final velocity of the two-block system.

- Express your answer numerically.

**Input for Answer:**
\[ v_f = \, \, \text{m/s} \]
Transcribed Image Text:**Physics Problem: Collisions on a Frictionless Track** **Problem Statement:** Block 1, with mass \( m_1 = 2.90 \, \text{kg} \), moves along a frictionless air track with a speed of \( v_1 = 13.0 \, \text{m/s} \). It collides with Block 2, which has a mass \( m_2 = 57.0 \, \text{kg} \) and is initially at rest. The blocks stick together after the collision. **Reference Figure:** - **Before collision:** - Block 1 (\( m_1 \)) is moving towards Block 2 with a velocity \( v_1 \). - Block 2 (\( m_2 \)) is stationary. - **After collision:** - Both blocks stick together and move with a common final velocity \( v_f \). **Tasks:** **Part A:** Find the magnitude \( p_i \) of the total initial momentum of the two-block system. - Express your answer numerically. **Input for Answer:** \[ p_i = \, \, \text{kg} \cdot \text{m/s} \] **Part B:** Find \( v_f \), the magnitude of the final velocity of the two-block system. - Express your answer numerically. **Input for Answer:** \[ v_f = \, \, \text{m/s} \]
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