Three objects with masses m1, m2, and m3 moving with the same speed get together and make a perfectly inelastic collision. Find the angles of incidence 01 and 82 as defined in the picture provided that after the collision the objects will stand still where they meet. (m₁) (m₂ 0₁ 0₂ (m3)

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Chapter1: Units, Trigonometry. And Vectors
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**Homework Problem #2 (Not graded)**

Three objects with masses \( m_1 \), \( m_2 \), and \( m_3 \) moving with the same speed get together and make a perfectly inelastic collision. Find the angles of incidence \( \theta_1 \) and \( \theta_2 \) as defined in the picture provided that after the collision the objects will stand still where they meet.

**Diagram Explanation:**

- The diagram shows three circular objects labeled \( m_1 \), \( m_2 \), and \( m_3 \).
- Object \( m_1 \) approaches from the left at an angle \( \theta_1 \) relative to the horizontal line.
- Object \( m_2 \) approaches from below at an angle \( \theta_2 \) relative to the horizontal line.
- Object \( m_3 \) is moving horizontally from the right towards the point where all objects collide.
- The collision is denoted by an overlap of all three paths meeting at a single point.
- After the collision, the objects are expected to stand still, demonstrating that their momenta perfectly balance.

The task is to determine the specific angles \( \theta_1 \) and \( \theta_2 \) that result in the objects coming to rest after their inelastic collision.
Transcribed Image Text:**Homework Problem #2 (Not graded)** Three objects with masses \( m_1 \), \( m_2 \), and \( m_3 \) moving with the same speed get together and make a perfectly inelastic collision. Find the angles of incidence \( \theta_1 \) and \( \theta_2 \) as defined in the picture provided that after the collision the objects will stand still where they meet. **Diagram Explanation:** - The diagram shows three circular objects labeled \( m_1 \), \( m_2 \), and \( m_3 \). - Object \( m_1 \) approaches from the left at an angle \( \theta_1 \) relative to the horizontal line. - Object \( m_2 \) approaches from below at an angle \( \theta_2 \) relative to the horizontal line. - Object \( m_3 \) is moving horizontally from the right towards the point where all objects collide. - The collision is denoted by an overlap of all three paths meeting at a single point. - After the collision, the objects are expected to stand still, demonstrating that their momenta perfectly balance. The task is to determine the specific angles \( \theta_1 \) and \( \theta_2 \) that result in the objects coming to rest after their inelastic collision.
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