A) \[3.7\,\,kg\]
B) \[4\,\,kg\]
C) \[4.5\,\,kg\]
D) \[5\,\,kg\]
Correct Answer: A
Solution :
From principle of conservation of momentum, if no external force acts upon a system of two or more bodies, then the total momentum of the system remains constant. Resolving the momentum components, we have \[{{p}_{x}}-{{p}_{m}}\cos \theta =0\] \[{{p}_{y}}-{{p}_{m}}\sin \theta =0\] \[\therefore \] \[{{p}_{m}}=\sqrt{p_{x}^{2}+p_{y}^{2}}\] \[m\times 40=\sqrt{{{(2\times 12)}^{2}}+{{(1\times 16)}^{2}}}\] \[\Rightarrow \] \[m\times 40=29\] \[\Rightarrow \] \[m=0.7\] Hence, total mass of the shell \[M=1+2+0.7=3.7\]You need to login to perform this action.
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