Consider the blocks on the curved ramp as seen in the figure. The blocks have masses m₁ = 2.00 kg and m₂ = 3.65 kg, and are initially at rest. The blocks are allowed to slide down the ramp and they then undergo a head-on, elastic collision on the flat portion. Determine the heights (in m) to which m₁ and m₂ rise on the curved portion of the ramp after the collision. Assume the ramp is frictionless, and h = 5.90 m. hm₂ nm₂ II II m₁ EE m₂

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Consider the blocks on the curved ramp as seen in the figure. The blocks have masses \( m_1 = 2.00 \, \text{kg} \) and \( m_2 = 3.65 \, \text{kg} \), and are initially at rest. The blocks are allowed to slide down the ramp, and they then undergo a head-on, elastic collision on the flat portion. Determine the heights (in m) to which \( m_1 \) and \( m_2 \) rise on the curved portion of the ramp after the collision.

Assume the ramp is frictionless, and \( h = 5.90 \, \text{m} \).

- \( h_{m_1} = \, \_\_\_\_\_ \, \text{m} \)
- \( h_{m_2} = \, \_\_\_\_\_ \, \text{m} \)

**Diagram Explanation:**

The diagram shows a curved ramp with two distinct sides. Block \( m_1 \) (brown) is on the left side of the ramp and block \( m_2 \) (blue) is on the right side. Both blocks are at the top of their respective sides of the ramp before sliding downward. Each block is shown with an arrow indicating the downward direction along the ramp to signify that they will slide down the frictionless surface. The height \( h \) is marked from the bottom of the ramp to the top of each curved side where the blocks initially rest.

Note: In a head-on elastic collision, both momentum and kinetic energy are conserved.
Transcribed Image Text:Consider the blocks on the curved ramp as seen in the figure. The blocks have masses \( m_1 = 2.00 \, \text{kg} \) and \( m_2 = 3.65 \, \text{kg} \), and are initially at rest. The blocks are allowed to slide down the ramp, and they then undergo a head-on, elastic collision on the flat portion. Determine the heights (in m) to which \( m_1 \) and \( m_2 \) rise on the curved portion of the ramp after the collision. Assume the ramp is frictionless, and \( h = 5.90 \, \text{m} \). - \( h_{m_1} = \, \_\_\_\_\_ \, \text{m} \) - \( h_{m_2} = \, \_\_\_\_\_ \, \text{m} \) **Diagram Explanation:** The diagram shows a curved ramp with two distinct sides. Block \( m_1 \) (brown) is on the left side of the ramp and block \( m_2 \) (blue) is on the right side. Both blocks are at the top of their respective sides of the ramp before sliding downward. Each block is shown with an arrow indicating the downward direction along the ramp to signify that they will slide down the frictionless surface. The height \( h \) is marked from the bottom of the ramp to the top of each curved side where the blocks initially rest. Note: In a head-on elastic collision, both momentum and kinetic energy are conserved.
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