A loaded $20, 000 k g$ coal wagon is moving on a level track at $6$ ms $^{- 1}$ . Suddenly $5000 k g$ of coal is dropped out of the wagon. The final speed of the wagon is:

6

^{- 1}

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8

^{- 1}

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4.8

^{- 1}

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4.5

^{- 1}

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Solution

The correct option is A $8$ ms $^{- 1}$
Initial mass of the system $m_{i} = 20000 k g$
Final mass of the system $m_{f} = 20000 - 5000 = 15000 k g$
Since no external force is acting on it, we can apply conservation of momentum,
$m_{i} v_{i} = m_{f} v_{f}$
$20000 \times 6 = 15000 \times v_{f}$
Final velocity, $v_{2} = 8 m / s$

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