System of Particles and Rotational Motion - Result Question 3

3. Two persons of masses $55 kg$ and $65 kg$ respectively, are at the opposite ends of a boat. The length of the boat is $3.0 m$ and weighs $100 kg$. The $55 kg$ man walks up to the $65 kg$ man and sits with him. If the boat is in still water the centre of mass of the system shifts by :

[2012]

(a) $3.0 m$

(b) $2.3 m$

(c) zero

(d) $0.75 m$

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Answer:

Correct Answer: 3. (c)

Solution:

  1. (c)

There is no external force so centre of mass of the system will not shift