A man stands at one end of a boat which is stationary in water. Neglect water resistance. The man now moves to the other end of the boat and becomes stationary. The centre of mass of the "man plus boat" system will remain stationary with respect to water

in all cases

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only when the man is stationary initially and finally

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only if the man moves without acceleration on the boat

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only if the man and the boat has equal masses

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Solution

The correct option is A in all cases
The motion of centre of mass depends only on the external forces only.
As in this case the net external force is zero, thus COM of the "man + boat" system will remain at rest at every instant in all the cases.

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A man stands at one end of a boat which is stationary in water. Neglect water resistance. The man now moves to the other end of the boat and becomes stationary. The centre of mass of the "man plus boat" system will remain stationary with respect to water

The correct option is A in all casesThe motion of centre of mass depends only on the external forces only.As in this case the net external force is zero, thus COM of the "man + boat" system will remain at rest at every instant in all the cases.

The correct option is A in all cases
The motion of centre of mass depends only on the external forces only.
As in this case the net external force is zero, thus COM of the "man + boat" system will remain at rest at every instant in all the cases.