One body catches up with a second body and they undergo a one-dimensional elasti

Question

One body catches up with a second body and they undergo a one-dimensional elastic collision. The figure shows graphs of position versus time for these bodies and for their center of mass. Answer the questions below by choosing from the following options (e.g., if the answer to the first question is A, and to the others, B, enter ABBBB):

>> Which line segment corresponds to the center of mass after the collision?
>> Which line segment corresponds to the faster body before the collision?
>> The mass of the initially faster body is _______ the mass of the initially slower body.
>> Which line segment corresponds to the initially faster body after the collision?
>> Which line segment corresponds to the center of mass before the collision?

Explanation / Answer

form the figure,

line 1 -> x-t graph of object 1 before collision

line 2 -> x-t graph of COM before collision

line 3 -> x-t graph of object 2 before collision

line 4 -> x-t graph of object 1 after collision

line 5 -> x-t graph of COM after collision

line 6 -> x-t graph of object 2 after collision

hence

1. line 5 , E

2. line 3, C

3. as body 2 gets -ve speed after striking body 1, its mass should be lesser than body 1

H

4. line 6, F

5. line 2, B

hence

ECHFB

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