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 :
[d] From the law of conservation of momentum we know that, \[{{\operatorname{m}}_{1}}{{u}_{1}}+{{\operatorname{m}}_{2}}{{u}_{2}}+...={{\operatorname{m}}_{1}}{{\operatorname{v}}_{1}}+{{\operatorname{m}}_{2}}{{\operatorname{v}}_{2}}+...\] Given \[{{\operatorname{m}}_{1}}=m, {{m}_{2}} =2m and {{m}_{3}} = 3m\] and \[{{\operatorname{u}}_{1}}=3u, {{u}_{2}}= 2u and {{u}_{3}}= u\] Let the velocity when they stick \[= \vec{v}\] Then, according to question,You need to login to perform this action.
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