Two objects of masses m, = 0.46 kg and m, = 0.96 kg are placed on a horizontal frictionless surface and a compressed spring of force constant k = 250 N/m is placed between them as in figure (a). Neglect the mass of the spring. The spring is not attached to either object and is compressed a distance of 9.6 cm. If the objects are released from rest, find the final velocity of each object as shown in figure (b). (Let the positive direction be to the right. Indicate the direction with the sign of your answer.) m/s V2 m/s m2 a m2

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

Two objects of masses \( m_1 = 0.46 \, \text{kg} \) and \( m_2 = 0.96 \, \text{kg} \) are placed on a horizontal frictionless surface, and a compressed spring with force constant \( k = 250 \, \text{N/m} \) is placed between them as shown in figure (a). Neglect the mass of the spring. The spring is not attached to either object and is compressed a distance of \( 9.6 \, \text{cm} \). If the objects are released from rest, find the final velocity of each object as shown in figure (b). (Let the positive direction be to the right. Indicate the direction with the sign of your answer.)

**Diagram Description:**

- **Figure (a):** 
  - The diagram shows two blocks labeled \( m_1 \) and \( m_2 \) on a frictionless surface.
  - A spring with constant \( k \) is compressed between the two blocks.

- **Figure (b):**
  - The spring is shown in a neutral position between \( m_1 \) and \( m_2 \), indicating they are no longer in contact.
  - Velocity vectors \( \vec{v_1} \) and \( \vec{v_2} \) point away from each other, indicating the directions of motion after release.

**Objective:**

Calculate the final velocities \( v_1 \) and \( v_2 \) of the two objects. 

**Answer Input Fields:**

- \( v_1 = \) ____ m/s
- \( v_2 = \) ____ m/s
Transcribed Image Text:**Problem Statement:** Two objects of masses \( m_1 = 0.46 \, \text{kg} \) and \( m_2 = 0.96 \, \text{kg} \) are placed on a horizontal frictionless surface, and a compressed spring with force constant \( k = 250 \, \text{N/m} \) is placed between them as shown in figure (a). Neglect the mass of the spring. The spring is not attached to either object and is compressed a distance of \( 9.6 \, \text{cm} \). If the objects are released from rest, find the final velocity of each object as shown in figure (b). (Let the positive direction be to the right. Indicate the direction with the sign of your answer.) **Diagram Description:** - **Figure (a):** - The diagram shows two blocks labeled \( m_1 \) and \( m_2 \) on a frictionless surface. - A spring with constant \( k \) is compressed between the two blocks. - **Figure (b):** - The spring is shown in a neutral position between \( m_1 \) and \( m_2 \), indicating they are no longer in contact. - Velocity vectors \( \vec{v_1} \) and \( \vec{v_2} \) point away from each other, indicating the directions of motion after release. **Objective:** Calculate the final velocities \( v_1 \) and \( v_2 \) of the two objects. **Answer Input Fields:** - \( v_1 = \) ____ m/s - \( v_2 = \) ____ m/s
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