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Q.

A man of mass m0 is standing on a long plank of mass M  The man starts to run on plank with velocity u0with respect to plank. 

 

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a

During running, the velocity of centre of mass of (plank + man) is non-zero

b

During running, workdone by friction on the plank is positive

c

Total mechanical energy of plank and man increases

d

During running, net workdone by static friction between plank and man is non-zero

answer is C, D.

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Detailed Solution

(1) is wrong because Vcmis always '0' because Fext= 0 and hence acm = 0 

(2) is wrong because work done by static friction on the system is always zero.

(3)is right because displacement of the plank is in the direction of frictional force acting on it .

(4) is correct because internal energy of man converted into KE of the system

 

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