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A shell of mass 10 kg is moving with a velocity of $10 m s^{- 1}$ . When it blasts and forms two parts of mass 9 kg and 1 kg respectively. If the 1st mass is stationary, the velocity of 2nd is

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100 m/s

1000 m/s

1 m/s

10 m/s

answer is C.

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Detailed Solution

$v_{1} = 10 m / s; m_{1} = 10 kg$
$v_{2} = 0 m / s; m_{2} = 9 kg$
$v_{3} = ? m / s; m_{3} = 1 kg$
According to Law of conservation of linear momentum

$m_{1} v_{1} = m_{2} v_{2} + m_{3} v_{3}$

On solving:

$v_{3} = 100 m / s$

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