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Q.

A block of mass 0.5 kg  is moving with speed of 2 m/s on a smooth surface.  It strikes another mass of 1 kg and then they move together as a single body.   The Energy loss during the Collision is,

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a

0.34 J

b

0.16 J

c

1.00 J

d

0.67 J

answer is D.

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Detailed Solution

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 apply law of conservation of linear momentum pbefore=pafter mu = (m+M)V m=0.5kg;M=1kg;u=2m/s 0.5(2)=(0.5+1)V V=11.5m/s KEinitial=12mv2=12x0.5x22=1 joule KEfinal=12mv2=12(1.5)(11.5)2=0.33 joule loss of KE=KEinitial-KEfinal=1-0.33=0.67 joule

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