Consider two rigid objects whose masses are mA and mB. Their initial velocities are vAi and vBi. What is the final velocity of object A, vAf, in terms of mA , mB , vAi , and vBi ?       Hint: A good starting point is these two equations: mA vAi + mB vBi = mA vAf + mB vBf , and 0.5 ( mA vAi2 + mB vBi2 ) = 0.5 ( mA vAf 2 + mB vBf 2 ) , where vBf is the final velocity of object b.     2.What is vAf in the limit of mA / mB à 0?     3.What is vAf in the limit of mB / mA à 0?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter2: One Dimensional Motion
Section: Chapter Questions
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  1. Consider two rigid objects whose masses are mA and mB. Their initial velocities are vAi and vBi. What is the final velocity of object A, vAf, in terms of mA , mB , vAi , and vBi ?

      Hint: A good starting point is these two equations:

mA vAi + mB vBi = mA vAf + mB vBf , and

0.5 ( mA vAi2 + mB vBi2 ) = 0.5 ( mA vAf 2 + mB vBf 2 ) ,

where vBf is the final velocity of object b.

 

 

2.What is vAf in the limit of mA / mB à 0?

 

 

3.What is vAf in the limit of mB / mA à 0?

 

 

4.Show that vAi + vAf = vBi + vBf .

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