Q.

A block A is placed over a long rough plank B of same mass as shown in figure. The plank is placed over a smooth horizontal surface. At time t=0, block A is given a velocity v0 in horizontal direction. Let v1 and v2 be the velocities of A and B at time t. Then choose the correct graph between v1 or v2 and t.

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a

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b

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c

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d

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answer is B.

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Detailed Solution

Friction between A&B accelerates B and retards A till slipping is stopped. As they have same mass,  acc. of B =  retardation of A = µg

vA=v0-μgt, vB=μgt

Final velocity of A and B = mv0m+m=v02

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A block A is placed over a long rough plank B of same mass as shown in figure. The plank is placed over a smooth horizontal surface. At time t=0, block A is given a velocity v0 in horizontal direction. Let v1 and v2 be the velocities of A and B at time t. Then choose the correct graph between v1 or v2 and t.