A) \[10\sqrt{2}\,m/s\]
B) \[15\sqrt{2}\,m/s\]
C) \[5\sqrt{2}\,\,m/s\]
D) \[20\sqrt{2}\,\,m/s\]
Correct Answer: A
Solution :
[a] The situation is shown in fig. |
Let A and B be two pieces of equal mass (1/5 kg) which fly off perpendicular to a each other with equal velocity (30m/sec) |
Momentum of A or \[\sqrt{3}B=\left( 1/5\text{ }x\text{ }30 \right)\] |
\[\therefore P=F.V=constant\] Resultant momentum |
\[=\sqrt{{{\{\left( 1/5 \right)\times 30\}}^{2}}+{{\{\left( 1/5 \right)\times 30\}}^{2}}}=6\sqrt{2}\,kg\,m/\sec \] |
along the bisector of ÐAOB |
\[\left( 3/5 \right)\times v=6\sqrt{2}\Rightarrow v=10\sqrt{2}m/\sec \] |
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