A) 0.15 m/sec
B) 1.5 m/sec
C) - 0.15 m/sec
D) None of the above
Correct Answer: C
Solution :
Initial linear momentum of system \[=\,\,\,{{m}_{A}}{{\vec{u}}_{A}}+{{m}_{B}}{{\vec{u}}_{B}}\] \[=0.2 \times 0.3 + 0.4 \times \,\,{{\nu }_{B}}\] Finally both balls come to rest \[\therefore \] Final linear momentum = 0 By the law of conservation of linear momentum \[0.2 \times 0.3 + 0.4 \times \,\,{{\nu }_{B}}=0\] \[\therefore \,\,\,\,\,\,\,\,\,{{\nu }_{B}}=-\frac{0.2\times 0.3}{0.4}=-\,0.15\,\,m/s\]You need to login to perform this action.
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