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(This is a question from DC Pandey.Sir,please explain in detail with diagram).A man of mass m moves with a constant speed on a plank of mass M and length l kept initially at rest on a frictionless horizontal surface,from one end to another in time t .The speed of the plank relarive to the ground,while man was moving ,isAns-lm/t(m+M)
Dear student Let the distance moved by the plank be x.So the distance that the man will move is L - x.Applying Conservation of Linear Momentum,Mx = m(L - x)Mx = mL - mxMx + mx = mLx(M + m) = mLx = mL / (M + m)Distance moved by the plank in T seconds is mL/( M + m).Speed = Distance ÷ TimeSpeed = mL/ [ (M + m)T]
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