A wagon of mass 10 tons moving at a speed of 12 kmph collides with another wagon of mass 8 tons moving on the same track in the same direction at a speed of 10 kmph. If the speed of the first wagon decreases to 8 kmph. Find the speed of the other after collision

18 kmph

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25 kmph

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5 kmph

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15 kmph

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Solution

The correct option is C 15 kmph
Conserving momemtum,
$10 \times 12 + 8 \times 10 = 10 \times 8 + 8 \times v$
$200 - 80 = 8 \times v$
$\Rightarrow v = 15 k m p h$

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