A) \[3\,v\,cos\text{ }\theta \]
B) \[2\,v\,cos\text{ }\theta \]
C) \[\frac{3}{2}\,v\,cos\text{ }\theta \]
D) \[\sqrt{\frac{3}{2}}\,v\,cos\text{ }\theta \]
Correct Answer: A
Solution :
[a] As one piece retraces its path, the speed of this piece just after explosion should be \[v\text{ }cos\text{ }\theta \] (At highest point just after explosion) Applying conservation of linear momentum at the highest point; \[m\left( v\cos \theta \right)=\frac{m}{2}\times v'-\frac{m}{2}\times v\cos \theta \] \[3v\cos \theta =v'\]You need to login to perform this action.
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