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Q.

A car of mass 1000 kg is moving with a velocity of 10 $m s^{- 1}$ towards another car of mass 1500 kg moving with a velocity of 15 $m s^{- 1}$ in the same direction. Find the velocity of the centre of mass of the two cars in m/s

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answer is 13.

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Detailed Solution

$V_{C M} = \frac{m_{1} υ_{1} + m_{2} υ_{2}}{m_{1} + m_{2}} = \frac{1000 \times 10 + 1500 \times 15}{1000 + 1500} = 13 m s^{- 1}$

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