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In the arrangement shown, There is no friction between the 4 kg block and the floor and friction exists at the interface of 2kg and 4kg blocks. If the blocks A and B move together without any relative motion between them, find the work done by the force of friction on block A in 2 second

a
Zero
b
128J
c
64J
d
32J

detailed solution

Correct option is C

Accelaration of the system, a=242+4m/s2=4m/s2Friction force acting on 2kg block, f = 2 x 4 n=8 NDisplacement of the system of blocks , x=12×4×22m=8m∴ Work done by the friction on A =f.x=8 x 8 J=64 J

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