Chapter 7. Momentum conservation in a completely inelastic collision (7-18)

Question

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{"title":"Velocities of objects A and B before they undergo a completely inelastic collision (in which they stick together)","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"30,1,49,24\"},{\"shape\":\"rect\",\"coords\":\"118,3,136,25\"}]"} {"title":"Velocity of the two objects moving together after the collision","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"279,2,297,24\"}]"} {"title":"Masses of objects A and B","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"1,6,24,30\"},{\"shape\":\"rect\",\"coords\":\"86,4,113,26\"}]"}

Question

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{"title":"Velocities of objects A and B before they undergo a completely inelastic collision (in which they stick together)","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"30,1,49,24\"},{\"shape\":\"rect\",\"coords\":\"118,3,136,25\"}]"} {"title":"Velocity of the two objects moving together after the collision","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"279,2,297,24\"}]"} {"title":"Masses of objects A and B","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"1,6,24,30\"},{\"shape\":\"rect\",\"coords\":\"86,4,113,26\"}]"}

Question

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{"title":"Velocities of objects A and B before they undergo a completely inelastic collision (in which they stick together)","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"30,1,49,24\"},{\"shape\":\"rect\",\"coords\":\"118,3,136,25\"}]"} {"title":"Velocity of the two objects moving together after the collision","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"279,2,297,24\"}]"} {"title":"Masses of objects A and B","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"1,6,24,30\"},{\"shape\":\"rect\",\"coords\":\"86,4,113,26\"}]"}

Review

When an object of mass \(m_A\) and velocity \(\vec{v}_{Ai}\) undergoes an inelastic collision with a second object of mass \(m_B\) and velocity \(\vec{v}_{Bi}\), we can regard what remains after the collision as a single object of mass \(m_A + m_B\). Momentum conservation then gives us an equation for the velocity \(\vec{v}_f\) of this combined object just after the collision: