Two objects of masses m, = 0.40 kg and m,2 = 0.90 kg are placed on a horizontal frictionless surface and a compressed spring of force constant k = 300 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.)

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**Problem Statement:**

Two objects of masses \( m_1 = 0.40 \, \text{kg} \) and \( m_2 = 0.90 \, \text{kg} \) are placed on a horizontal frictionless surface, and a compressed spring with a force constant \( k = 300 \, \text{N/m} \) 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.)

**Response Fields:**

\( v_1 = \)
-2.0149 ✖  
Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s

\( v_2 = \)
-.896 ✖  
The response you submitted has the wrong sign. m/s

**Diagram Explanation:**

- **Figure (a):** Shows two blocks, \( m_1 \) and \( m_2 \), on a frictionless surface with a compressed spring between them.
- **Figure (b):** Illustrates the blocks moving apart after the spring has expanded. Arrows indicate the direction of velocity for each block:
  - \( \vec{v}_1 \) points to the left, implying \( m_1 \) moves in the negative direction.
  - \( \vec{v}_2 \) points to the right, implying \( m_2 \) moves in the positive direction.

**Additional Resources:**

Need Help? [Read It]
Transcribed Image Text:**Problem Statement:** Two objects of masses \( m_1 = 0.40 \, \text{kg} \) and \( m_2 = 0.90 \, \text{kg} \) are placed on a horizontal frictionless surface, and a compressed spring with a force constant \( k = 300 \, \text{N/m} \) 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.) **Response Fields:** \( v_1 = \) -2.0149 ✖ Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s \( v_2 = \) -.896 ✖ The response you submitted has the wrong sign. m/s **Diagram Explanation:** - **Figure (a):** Shows two blocks, \( m_1 \) and \( m_2 \), on a frictionless surface with a compressed spring between them. - **Figure (b):** Illustrates the blocks moving apart after the spring has expanded. Arrows indicate the direction of velocity for each block: - \( \vec{v}_1 \) points to the left, implying \( m_1 \) moves in the negative direction. - \( \vec{v}_2 \) points to the right, implying \( m_2 \) moves in the positive direction. **Additional Resources:** Need Help? [Read It]
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