Understanding Head-On Collisions: Elastic vs. Inelastic & Impact of Mass Ratios

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In a head-on collision scenario involving two objects with different masses, the discussion centers around the nature of the collision and the conservation of momentum. The correct answers for the statements regarding the collision are A, C, and E, indicating that the final momentum of object 1 is less than its initial momentum, the final speed of object 1 is greater than object 2, and momentum is conserved. The confusion arises around statement B, which is clarified to mean that the change in momentum of object 1 is greater than that of object 2 when mass 2 is significantly larger than mass 1. Overall, the collision is identified as elastic, and understanding the changes in momentum is crucial for solving related problems.
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Head-on collision HELP!

Homework Statement



Consider a head-on collision between two objects. Object 1, which has mass m1, is initially in motion, and collides head-on with object 2, which has mass m2, and is initially at rest. Which of the following statements about the collision are true?

A. |P1,final| < |P1,initial|
B. If m2 >> m1, then |P1| > |P2| (last P's have deltas representing the change in P)
C. If m2 >> m1, then the final speed of object 1 is greater than the final speed of object 2.
D. If m1 >> m2, then the final speed of object 2 is less than the initial speed of object 1.
E. P1,initial = P1,final + P2,final

There can be more than one answer.

i not sure what kind of collision this is (inelastic or elastic) i assumed elastic and got
A.
B.
C.
E.

not sure if this is right and only have one more attempt so want to make sure i understand what is going on. any help would be great!
thanks
 
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i just tried it and the computer says they are wrong?
you have any idea why?
i guess i have one more attempt (thought the last one was my last attempt but i guess not)
here is everything i have tried (4 attempts)
1. ALL A B C D E
2. A B D
3. A B D E
4. A B C E
 


D is also correct.
 


rl.bhat said:
D is also correct.

so are you saying that they all are correct?
I already tired that (attempt #1)
that is what made sense to me, but still said i was wrong??
 


got the answer it is only
A. C. E.
i guess it is an elastic collision
thanks for the help
 


fball558 said:

Homework Statement



B. If m2 >> m1, then |P1| > |P2| (last P's have deltas representing the change in P)


I do not understand this sentence

p1 and p2 is the initial? or final?

and can you explain"last P's have deltas representing the change in P"
please tell me the detailed of this sentence.
I can't understand this sentence.
by the way I come form MARS.
 


tianbian said:
fball558 said:

Homework Statement



B. If m2 >> m1, then |P1| > |P2| (last P's have deltas representing the change in P)


I do not understand this sentence

p1 and p2 is the initial? or final?

and can you explain"last P's have deltas representing the change in P"
please tell me the detailed of this sentence.
I can't understand this sentence.
by the way I come form MARS.

what i mean when i say "the last P's have deltas representing the change in P)
i mean that the |P1| > |P2| is really change in momentom of P1 is greater than Change in momentom of P2.
so |P1| would really mean P1(final) - P1(inital) and same with |P2| just substitute P2 in place of P1.
 
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