A) \[\text{2m}{{\upsilon }^{\text{2}}}\]
B) \[\frac{1}{2}\text{ m}{{\upsilon }^{\text{2}}}\]
C) \[\text{m}{{\upsilon }^{\text{2}}}\]
D) \[\frac{3}{2}\text{m}{{\upsilon }^{\text{2}}}\]
Correct Answer: D
Solution :
Referring figure, \[mv\sqrt{2}=2m\times {{v}_{3}}\] \[\Rightarrow \] \[{{v}_{3}}=\frac{v}{\sqrt{2}}\] Total energy released in the explosion \[=\frac{1}{2}m{{v}^{2}}+\frac{1}{2}m{{v}^{2}}+\frac{1}{2}\times 2m{{\left( \frac{v}{\sqrt{2}} \right)}^{2}}\] \[=\frac{\mathbf{3}}{\mathbf{2}}\mathbf{m}{{\mathbf{v}}^{\mathbf{2}}}\]You need to login to perform this action.
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