A) \[\frac{u}{12}\left( \hat{i}+\sqrt{3}\hat{j} \right)\]
B) \[\frac{u}{12}\left( \hat{i}-\sqrt{3}\hat{j} \right)\]
C) \[\frac{u}{12}\left( -\hat{i}+\sqrt{3}\hat{j} \right)\]
D) \[\frac{u}{12}\left( -\hat{i}-\sqrt{3}\hat{j} \right)\]
Correct Answer: D
Solution :
From the law of conservation of momentum we know that, \[{{m}_{1}}{{u}_{1}}+{{m}_{2}}{{u}_{2}}+....={{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}+....\] Given \[{{m}_{1}}=m,{{m}_{2}}=2m\]and\[{{m}_{3}}=3m\] and\[{{u}_{1}}=3u,{{u}_{2}}=2u\]and\[{{u}_{3}}=u\] Let the velocity when they stick \[=\vec{v}\] Then, according to question,You need to login to perform this action.
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