A) \[-\frac{m}{M}v\]
B) \[\frac{2m}{M}v\]
C) \[\frac{M}{m}v\]
D) \[\frac{2M}{m}v\]
Correct Answer: A
Solution :
Initial momentum of the bullet gun system before firing \[{{p}_{i}}=0\] Momentum of bullet gun system after firing \[{{P}_{f}}={{P}_{bullet}}+{{P}_{gun}}=mv+MV\] Conserving momentum \[{{P}_{f}}={{P}_{i}}\] \[\Rightarrow \] \[mv+MV=0\] \[V=-\frac{m}{M}v\]
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