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Q.

As shown in the figure, A is a man of mass 60 kg standing on a block of mass 40 kg kept on ground. The coefficient of friction between the feet of the man and the-block is
0.3 and that, between B and the ground is 0.2. If the person pulls the string with 125 N force, then

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a

the force of friction acting between A and B will be 180 N

b

B will slide on ground

c

the force of friction acting between B  and ground will be 200 N

d

A and B will move with acceleration 0.5 ms-2

answer is A, B, D.

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Detailed Solution

Maximum force of friction between A and B

f1max=0.3×60×10=180 N

Since 125 N is less than 180 N, A will not slide on B . 

Maximum force of friction between B and ground

f2max=0.2×60+40g=200 N

Since the total horizontal external force acting on the system (125N+125N) is greater  than 200 N , Block B will not slide on the ground . 

So acceleration of the system  =(125+125)-200(60+40)m/s2=0.5 m/s2

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