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Grade 12th passDiscuss with colleagues and IITians

(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 ,is
Ans-lm/t(m+M)

Kaushki

8 Years agoGrade 12th pass

1 Answer

Arun

8 Years ago

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 - mx
Mx + mx = mL
x(M + m) = mL
x = mL / (M + m)

Distance moved by the plank in T seconds is mL/( M + m).

Speed = Distance ÷ Time
Speed = mL/ [ (M + m)T]

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