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Two particles each of mass m are initially at the origin. One particle starts moving along positive x-axis with constant velocity 4 m/s and simultaneously the other particle starts moving along positive y-axis with constant velocity 3 m/s. Then the coordinates of their centre of mass after 2 sec are

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(8, 6)

(2, 3)

(3, 4)

(4, 3)

answer is D.

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Detailed Solution

After 2 s, co-ordinates of one particle are (8, 0) and those of the other particle are (0, 6)

$∴ x_{c} = \frac{m x 8 + m x 0}{m + m} = 4 m, y_{c} = \frac{m x 0 + m x 6}{m + m} = 3 m$

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