A 2kg body and 3kg body are moving along the X-axis. At a particular instant the 2kg body is 1m from the origin and has the velocity of $3 m s^{- 1}$ and 3kg body is 2m from the origin and has a velocity of $- 1 m s^{- 1}$ . The position of the center of mass of the system is:

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1.6m

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2.2 m

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Solution

The correct option is B 1.6m
$X_{c o m} = \frac{2 \times 1 + 3 \times 2}{2 + 3} = \frac{2 + 6}{5} = \frac{8}{5} = 1.6 m$ .

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