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Consider a frictionless track as shown in the figure below. A block of mass m₁ = 5.30 kg is released from. It makes a head-on elastic collision at with a block of mass m₂ = 17.0 kg that is initially at rest. Calculate the maximum height to which m, rises after the collision. m A 5.00 m m₁ (В M₂

Consider a frictionless track as shown in the figure below. A block of mass m₁ = 5.30 kg is released from. It makes a head-on elastic collision at with a block of mass m₂ = 17.0 kg that is initially at rest. Calculate the maximum height to which m, rises after the collision. m A 5.00 m m₁ (В M₂

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### Physics Problem: Elastic Collisions on a Frictionless Track #### Problem Statement: Consider a frictionless track as shown in the figure below. A block of mass \( m_1 = 5.30 \, \text{kg} \) is released from point \(\mathbf{A}\). It makes a head-on elastic collision at point \(\mathbf{B}\) with a block of mass \( m_2 = 17.0 \, \text{kg} \) that is initially at rest. Calculate the maximum height to which \( m_1 \) rises after the collision. #### Diagram Explanation: The diagram depicts a frictionless track consisting of a vertical drop transitioning into a flat horizontal surface: - The vertical height from which block \( m_1 \) is released is labeled as \( 5.00 \, \text{m} \). - Point \(\mathbf{A}\) is the initial point at the top of the curved track. - Point \(\mathbf{B}\) is the collision point on the flat horizontal section of the track where \( m_1 \) collides with \( m_2 \). The track can be visually broken down as follows: - A curved ramp starting from \( \mathbf{A} \) and descending to the flat part of the track at \( \mathbf{B} \). - Block \( m_2 \) is initially placed at point \( \mathbf{B} \) on the horizontal section. #### Objective: Compute the maximum height to which block \( m_1 \) ascends after an elastic collision with block \( m_2 \). --- This problem typically involves principles of conservation of energy and momentum, as well as the specific conditions of elastic collisions where both kinetic energy and momentum are conserved.
Transcribed Image Text:### Physics Problem: Elastic Collisions on a Frictionless Track #### Problem Statement: Consider a frictionless track as shown in the figure below. A block of mass \( m_1 = 5.30 \, \text{kg} \) is released from point \(\mathbf{A}\). It makes a head-on elastic collision at point \(\mathbf{B}\) with a block of mass \( m_2 = 17.0 \, \text{kg} \) that is initially at rest. Calculate the maximum height to which \( m_1 \) rises after the collision. #### Diagram Explanation: The diagram depicts a frictionless track consisting of a vertical drop transitioning into a flat horizontal surface: - The vertical height from which block \( m_1 \) is released is labeled as \( 5.00 \, \text{m} \). - Point \(\mathbf{A}\) is the initial point at the top of the curved track. - Point \(\mathbf{B}\) is the collision point on the flat horizontal section of the track where \( m_1 \) collides with \( m_2 \). The track can be visually broken down as follows: - A curved ramp starting from \( \mathbf{A} \) and descending to the flat part of the track at \( \mathbf{B} \). - Block \( m_2 \) is initially placed at point \( \mathbf{B} \) on the horizontal section. #### Objective: Compute the maximum height to which block \( m_1 \) ascends after an elastic collision with block \( m_2 \). --- This problem typically involves principles of conservation of energy and momentum, as well as the specific conditions of elastic collisions where both kinetic energy and momentum are conserved.
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