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Asked in CBSE AIPMT 2012 · Discrete systems and motion of the centre of mass
Given: 55 kg and 65 kg on a 100 kg boat, L=3.0 m, still water.
Idea: the water is still and frictionless, so no external horizontal force acts on the man-plus-boat system.
⃗Fₑₓₜ=M⃗a_cm=0, and the system starts at rest.
A centre of mass that starts at rest with zero external force stays exactly where it is.
The man and the boat each move, in opposite directions, but the shift of the centre of mass is zero.
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