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Two blocks connected by a on top of a frictionless, level table. The blocks are pulled apart slightly so that the spring is stretched, and while they are held apart they are given identical initial velocities in a direction perpendicular to the spring. The blocks are then released at the same time. spiing Top view A B Ai The mass of block A is two and a half times the Bi mass of block B. m=2.5m, m; = = 0 Table is frictionless A Draw separate free-body diagrams for each block and for the spring immediately after release. Indicate separately the vertical forces (perpendicular to the table top) and the horizontal forces (parallel to the table top). Clearly label all forces.

Two blocks connected by a on top of a frictionless, level table. The blocks are pulled apart slightly so that the spring is stretched, and while they are held apart they are given identical initial velocities in a direction perpendicular to the spring. The blocks are then released at the same time. spiing Top view A B Ai The mass of block A is two and a half times the Bi mass of block B. m=2.5m, m; = = 0 Table is frictionless A Draw separate free-body diagrams for each block and for the spring immediately after release. Indicate separately the vertical forces (perpendicular to the table top) and the horizontal forces (parallel to the table top). Clearly label all forces.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Conservation of Momentum in Two Dimensions #### I. Changes in momentum for interacting objects Two blocks connected by a massless spring are on top of a frictionless, level table. The blocks are pulled apart slightly so that the spring is stretched, and while they are held apart they are given identical initial velocities in a direction perpendicular to the spring. The blocks are then released at the same time. - The mass of block A is two and a half times the mass of block B. - \( m_A = 2.5m_B \) - The table is frictionless. ![Diagram of the blocks and spring](Top view of blocks A and B connected by spring S, masses of each, and indicating initial velocities.) #### A. Draw separate free-body diagrams for each block and for the spring immediately after release. Indicate separately the vertical forces (perpendicular to the table top) and the horizontal forces (parallel to the table top). Clearly label all forces. **Free-body diagram for block A:** - **Vertical forces:** - **Horizontal forces:** **Free-body diagram for spring:** - **Vertical forces:** - **Horizontal forces:** **Free-body diagram for block B:** - **Vertical forces:** - **Horizontal forces:** #### Identify all the Newton’s third law (action-reaction) force pairs in your diagrams by placing one or more small "×" symbols through each member of the pair (i.e., mark each member of the first pair as ⟶×⟵, each member of the second pair as ⟶×⟵, etc.). #### B. Rank the magnitudes of all the horizontal forces on your diagrams. If any of the horizontal forces have the same magnitude, state that explicitly. Explain how Newton’s second and third laws can be used to arrive at this ranking. #### How does the net force on block A compare to the net force on block B? Discuss both magnitude and direction. #### Does this comparison of the net forces hold true for all times following the release of the blocks? Explain your reasoning.
Transcribed Image Text:### Conservation of Momentum in Two Dimensions #### I. Changes in momentum for interacting objects Two blocks connected by a massless spring are on top of a frictionless, level table. The blocks are pulled apart slightly so that the spring is stretched, and while they are held apart they are given identical initial velocities in a direction perpendicular to the spring. The blocks are then released at the same time. - The mass of block A is two and a half times the mass of block B. - \( m_A = 2.5m_B \) - The table is frictionless. ![Diagram of the blocks and spring](Top view of blocks A and B connected by spring S, masses of each, and indicating initial velocities.) #### A. Draw separate free-body diagrams for each block and for the spring immediately after release. Indicate separately the vertical forces (perpendicular to the table top) and the horizontal forces (parallel to the table top). Clearly label all forces. **Free-body diagram for block A:** - **Vertical forces:** - **Horizontal forces:** **Free-body diagram for spring:** - **Vertical forces:** - **Horizontal forces:** **Free-body diagram for block B:** - **Vertical forces:** - **Horizontal forces:** #### Identify all the Newton’s third law (action-reaction) force pairs in your diagrams by placing one or more small "×" symbols through each member of the pair (i.e., mark each member of the first pair as ⟶×⟵, each member of the second pair as ⟶×⟵, etc.). #### B. Rank the magnitudes of all the horizontal forces on your diagrams. If any of the horizontal forces have the same magnitude, state that explicitly. Explain how Newton’s second and third laws can be used to arrive at this ranking. #### How does the net force on block A compare to the net force on block B? Discuss both magnitude and direction. #### Does this comparison of the net forces hold true for all times following the release of the blocks? Explain your reasoning.
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