The line which passes through the centers of 2 objects, m1 = 156g and m2 = 958g, is parallel to the x- axis. At first object m2 is at rest and object m1 is directed towards it with a velocity of 1,0 (2.69 m/s)i. = M₂ H After they collide elastically, m1 and m2 are both moving parallel to the x-axis with velocities ₁ = V₁ƒ¡ and 2 = 12 i respectively. What is the x component in meters per second of the final velocity of object m1? What is the x component in meters per second of the final velocity of object m2?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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The problem involves two objects colliding elastically along a line parallel to the x-axis. The given data includes:

- Object \( m_1 \) with a mass of 156 g.
- Object \( m_2 \) with a mass of 958 g.
- Initial velocity of \( m_1 \), \( v_{1,0} = 2.69 \) m/s, directed towards \( m_2 \).
- \( m_2 \) is initially at rest.

**Scenario before collision:**

- \( m_1 \) is moving towards \( m_2 \) with velocity \( v_{1,0} \).
- \( m_2 \) remains stationary.

**Scenario after collision:**

- Both objects move parallel to the x-axis.
- Final velocities are \( v_{1,f} \) for \( m_1 \) and \( v_{2,f} \) for \( m_2 \).

The problem asks for:

1. The x-component of the final velocity of object \( m_1 \).
2. The x-component of the final velocity of object \( m_2 \).

**Diagrams:**

The diagrams illustrate the before and after scenarios, marking the direction of velocities with arrows. Before the collision, \( m_1 \) moves towards \( m_2 \), and after, both objects move in the direction of their respective final velocities \( v_{1,f} \) and \( v_{2,f} \).
Transcribed Image Text:The problem involves two objects colliding elastically along a line parallel to the x-axis. The given data includes: - Object \( m_1 \) with a mass of 156 g. - Object \( m_2 \) with a mass of 958 g. - Initial velocity of \( m_1 \), \( v_{1,0} = 2.69 \) m/s, directed towards \( m_2 \). - \( m_2 \) is initially at rest. **Scenario before collision:** - \( m_1 \) is moving towards \( m_2 \) with velocity \( v_{1,0} \). - \( m_2 \) remains stationary. **Scenario after collision:** - Both objects move parallel to the x-axis. - Final velocities are \( v_{1,f} \) for \( m_1 \) and \( v_{2,f} \) for \( m_2 \). The problem asks for: 1. The x-component of the final velocity of object \( m_1 \). 2. The x-component of the final velocity of object \( m_2 \). **Diagrams:** The diagrams illustrate the before and after scenarios, marking the direction of velocities with arrows. Before the collision, \( m_1 \) moves towards \( m_2 \), and after, both objects move in the direction of their respective final velocities \( v_{1,f} \) and \( v_{2,f} \).
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