A) \[10\sqrt{61}\,m{{s}^{-1}}\]
B) \[110\,m{{s}^{-1}}\]
C) \[120\,m{{s}^{-1}}\]
D) \[130\,m{{s}^{-1}}\]
Correct Answer: D
Solution :
Following the law of conservation of vertical momentum, the second splitted part of mass (m/2), must have a vertical downward velocity 50 m/s. Following the law a conservation of horizontal momentum, the second splitted part must have a horizontal velocity 120 m/s \[\therefore \] Velocity of second splitted part \[=\sqrt{{{50}^{2}}+{{120}^{2}}}=130\,m/s\] Hence, the correction option is [d].
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