A) Momentum is \[\frac{mvM}{M+m}\]
B) Kinetic energy is \[\frac{m{{v}^{2}}}{2}\]
C) Momentum is \[\frac{mv(M+m)}{M}\]
D) Kinetic energy is \[\frac{{{m}^{2}}{{v}^{2}}}{2(M+m)}\]
Correct Answer: D
Solution :
Initial momentum = \[mv\] Final momentum = \[(m+M)V\] By conservation of momentum \[mv=(m+M)V\] \ Velocity of (bag + bullet) system\[V=\frac{mv}{M+m}\] \ Kinetic energy = \[\frac{1}{2}(m+M)\ {{V}^{2}}\] =\[\frac{1}{2}(m+M){{\left( \frac{mv}{M+m} \right)}^{2}}\]\[=\frac{1}{2}\frac{{{m}^{2}}{{v}^{2}}}{M+m}\]You need to login to perform this action.
You will be redirected in
3 sec