Consider a frictionless track as shown in the figure below. A block of mass m, = 5.30 kg is released from O. It makes a head-on elastic collision at ® with a block of mass m, = 12.0 kg that is initially at rest. Calculate the maximum height to which m, rises after the collision. m 5.00 m m2

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### Physics Problem: Frictionless Track and Elastic Collision

Consider a frictionless track as shown in the figure below. A block of mass \( m_1 = 5.30 \, \text{kg} \) is released from point A. It makes a head-on elastic collision at point B with a block of mass \( m_2 = 12.0 \, \text{kg} \) that is initially at rest. Calculate the maximum height to which \( m_1 \) rises after the collision.

#### Diagram Explanation:

- **Track Layout:**
  - The track is designed with a vertical height of \( 5.00 \, \text{m} \) from the ground at point A.
  - The track curves downward and horizontally towards point B.
  - Block \( m_1 \) starts from point A at the top of the curved track.

- **Masses:**
  - Block \( m_1 \) has a mass of \( 5.30 \, \text{kg} \).
  - Block \( m_2 \) has a mass of \( 12.0 \, \text{kg} \) and is initially at rest at point B.

- **Collision Details:**
  - The collision between \( m_1 \) and \( m_2 \) at point B is head-on and elastic.
  
Use the principles of conservation of momentum and kinetic energy to solve the problem.
Transcribed Image Text:### Physics Problem: Frictionless Track and Elastic Collision Consider a frictionless track as shown in the figure below. A block of mass \( m_1 = 5.30 \, \text{kg} \) is released from point A. It makes a head-on elastic collision at point B with a block of mass \( m_2 = 12.0 \, \text{kg} \) that is initially at rest. Calculate the maximum height to which \( m_1 \) rises after the collision. #### Diagram Explanation: - **Track Layout:** - The track is designed with a vertical height of \( 5.00 \, \text{m} \) from the ground at point A. - The track curves downward and horizontally towards point B. - Block \( m_1 \) starts from point A at the top of the curved track. - **Masses:** - Block \( m_1 \) has a mass of \( 5.30 \, \text{kg} \). - Block \( m_2 \) has a mass of \( 12.0 \, \text{kg} \) and is initially at rest at point B. - **Collision Details:** - The collision between \( m_1 \) and \( m_2 \) at point B is head-on and elastic. Use the principles of conservation of momentum and kinetic energy to solve the problem.
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