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Q.

A block of mass m with velocity u is gently kept over another block of mass 2m. the block b of mass 2m is kept over a smooth horizonal surface. The surface in contact between the blocks A and B are rough. Find the work done by the friction in the subsequent process.

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a

2mu23

b

mu23

c

mu22

d

Zero

answer is B.

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Detailed Solution

By applying the work energy theorem 
Wf=Δ(K.E)=KfKiWft=12(m+2m)vcommon 212mu2 (1) 
From conservation of linear momentum for the system
mu=3mvcomnon vcommon =u3  From 1,Wf=12(3m)u2912mu2=mu23

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