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Questions  

A man of mass M stands at one end of a plank of length L which lies at rest on a frictionless surface.
The man walks to the other end of the plank. If the mass of the plank is M3, the distance that the man
moves relative to the ground is

a
3L4
b
L4
c
4L5
d
L3

detailed solution

Correct option is B

Let plank moves x distance in opposite direction. Then, displacement of man relative to ground will be (L - x). Applying law of conservation of momentum,           mRxRt=mLxLt   or   M(L-x)=M3xSolving this equation, we get x = 3L4∴ Displacement of man relative to ground = L-3L4=L4

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