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?
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
Problem 79PQ
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- 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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