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 v 0 in horizontal direction. Let v 1 and v 2 be the velocities of A and B at time t. Then choose the correct graph between v 1 or v 2 and t:
Text Solution
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Friction force between A and B (= µmg) will accelerate B and retard A till slipping is stopped between the two and since mass of both are equal.
acceleration of B = retardation of A = µg
v 1 = v 0 – µgt and v 2 = µgt
Hence, the correct graph is . After slipping is ceased the common velocity of both will become 
, which can be obtained from conservation of linear momentum also.
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