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Block 1, of mass m1 = 7.70 kg , moves along a frictionless air track with speed v1 = 23.0 m/s. It collides with block 2, of mass m2 = 21.0 kg , which was initially at rest. The blocks stick together after the collision. (Figure 1)

Block 1, of mass m1 = 7.70 kg , moves along a frictionless air track with speed v1 = 23.0 m/s. It collides with block 2, of mass m2 = 21.0 kg , which was initially at rest. The blocks stick together after the collision. (Figure 1)

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**Text Description:** Block 1, of mass \( m_1 = 7.70 \, \text{kg} \), moves along a frictionless air track with speed \( v_1 = 23.0 \, \text{m/s} \). It collides with block 2, of mass \( m_2 = 21.0 \, \text{kg} \), which was initially at rest. The blocks stick together after the collision. ([Figure 1](#)) **Figure Description:** The diagram illustrates two blocks before and after a collision. - *Before collision:* - Block 1 with mass \( m_1 \) is depicted as moving towards block 2 with velocity \( v_1 \). - Block 2 with mass \( m_2 \) is stationary. - *After collision:* - The two blocks stick together, moving with a final velocity \( v_f \). **Graphical Elements:** - The blocks are shown side by side with arrows indicating the direction of movement. - Block 1 is labeled with \( m_1 \) and an arrow labeled \( v_1 \) indicates its movement towards Block 2. - After the collision, both blocks move together with a single arrow labeled \( v_f \), showing their combined motion.
Transcribed Image Text:**Text Description:** Block 1, of mass \( m_1 = 7.70 \, \text{kg} \), moves along a frictionless air track with speed \( v_1 = 23.0 \, \text{m/s} \). It collides with block 2, of mass \( m_2 = 21.0 \, \text{kg} \), which was initially at rest. The blocks stick together after the collision. ([Figure 1](#)) **Figure Description:** The diagram illustrates two blocks before and after a collision. - *Before collision:* - Block 1 with mass \( m_1 \) is depicted as moving towards block 2 with velocity \( v_1 \). - Block 2 with mass \( m_2 \) is stationary. - *After collision:* - The two blocks stick together, moving with a final velocity \( v_f \). **Graphical Elements:** - The blocks are shown side by side with arrows indicating the direction of movement. - Block 1 is labeled with \( m_1 \) and an arrow labeled \( v_1 \) indicates its movement towards Block 2. - After the collision, both blocks move together with a single arrow labeled \( v_f \), showing their combined motion.
## Part A Find the magnitude \( p_i \) of the total initial momentum of the two-block system. **Express your answer numerically.** - **View Available Hint(s)** ### Input Box: ``` p_i = [ ] kg · m/s ``` - **Submit Button** --- ## Part B Find \( v_f \), the magnitude of the final velocity of the two-block system. **Express your answer numerically.** - **View Available Hint(s)** ### Input Box: ``` v_f = [ ] m/s ``` - **Submit Button**
Transcribed Image Text:## Part A Find the magnitude \( p_i \) of the total initial momentum of the two-block system. **Express your answer numerically.** - **View Available Hint(s)** ### Input Box: ``` p_i = [ ] kg · m/s ``` - **Submit Button** --- ## Part B Find \( v_f \), the magnitude of the final velocity of the two-block system. **Express your answer numerically.** - **View Available Hint(s)** ### Input Box: ``` v_f = [ ] m/s ``` - **Submit Button**
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