A stationary bomb explodes into three pieces. One piece of \( 2 \mathrm{~kg} \) mass moves with ...

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A stationary bomb explodes into three pieces. One piece of \( 2 \mathrm{~kg} \) mass moves with a velocity of \( 8 \mathrm{~ms}^{-1} \) at right angles to the other piece of mass \( 1 \mathrm{~kg} \) moving with a velocity of \( 12 \mathrm{~ms}^{-1} \). If the mass of the third piece is \( 0.5 \mathrm{~kg} \), then its velocity is
[Kerala PET 2011]
(a) \( 10 \mathrm{~ms}^{-1} \)
(b) \( 20 \mathrm{~ms}^{-1} \)
(c) \( 30 \mathrm{~ms}^{-1} \)
(d) \( 40 \mathrm{~ms}^{-1} \)
(e) \( 50 \mathrm{~ms}^{-1} \)
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