A) 192 mJ
B) 96 mJ
C) 384 mJ
D) 768 mJ
Correct Answer: A
Solution :
By the conservation of momentum, \[{{m}_{A}}{{\nu }_{A}}={{m}_{B}}{{\nu }_{B}}\] \[\Rightarrow \,\,\,\operatorname{m} \times 16=2m\,\,\times \,\,{{\nu }_{A}}\,\,\Rightarrow \,\,{{\nu }_{B}}=8 m/sec\] \[=\frac{1}{2}{{m}_{A}}{{\nu }_{A}}^{2}+\frac{1}{2}{{m}_{B}}{{\nu }_{B}}^{2}\] \[=\frac{1}{2}\times m\times {{(16)}^{2}}+\frac{1}{2}\times (2m)\times {{8}^{2}}=192\,\,mJ\]You need to login to perform this action.
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