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Q.

A block of mass 1 kg is pushed towards another block of mass 2 kg from 6 m distance as shown in figure. Just after collision velocity of 2 kg block becomes 4 m/s.

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a

coefficient of restitution between two blocks is 1/2

b

coefficient of restitution between two blocks is 1

c

velocity of centre of mass after 2 s is 2 m/s

d

velocity of centre of mass after  2 s  is 1 m/s

answer is A, C.

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Detailed Solution

From conservation of linear momentum we can see that velocity of 1 kg block just after collision is 2 m/s  leftwards. 

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Now relative velocity of approach = 6 m/s and relative velocity of separation = 6 m/s

e=relative velocity of separationrelative velocity of approach=1 Initially vcm=m1v1+m2v2m1+m2=1×6+2×01+2=2m/s

During collision vcm will not change

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