Q.

A man of mass m moves with a constant speed on a plank of mass M and length I kept initially at rest on a frictionless horizontal surface from one end to the  other in time t. The speed of the plank relative to ground while man is moving, is

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a

ltMm

b

ltmm + M

c

ltMM +m

d

None of these

answer is B.

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Detailed Solution

We know that, vr=ltNow, m(vr - v)=Mv                             (v=speed of plank)∴               v=mvrM+m=ltmM+m
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A man of mass m moves with a constant speed on a plank of mass M and length I kept initially at rest on a frictionless horizontal surface from one end to the  other in time t. The speed of the plank relative to ground while man is moving, is