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A body of mass m traveling with a speed 5 u collides with an sticks to a body of mass 5 m traveling in the same direction with a speed u. Their common velocity is

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8 u /10

6 u /5

5u /3

answer is D.

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Detailed Solution

Let v be the common velocity. Applying the law of conservation of momentum, we have

$m (5 u) + (5 m) u = (m + 5 m) v v = \frac{10 mu}{6 m} = \frac{5 u}{3}$

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