A) \[\frac{{{v}_{o}}}{2}\]
B) \[\frac{{{v}_{o}}}{\sqrt{2}}\]
C) \[\frac{{{v}_{o}}}{4}\]
D) \[\sqrt{2}{{v}_{o}}\]
Correct Answer: D
Solution :
From C.O.L.M. \[m{{v}_{0}}=m{{v}_{1}}+m{{v}_{2}}\] ?(1) And \[K.{{E}_{f}}=\frac{3}{2}K.E{{.}_{i}}\] \[\frac{1}{2}mv_{1}^{2}+\frac{1}{2}mv_{2}^{2}=\frac{3}{2}\left( \frac{1}{2}mv_{0}^{2} \right)\] \[v_{1}^{2}+v_{2}^{2}=\frac{3}{2}V_{0}^{2}\] ?(2) Solving equation (1) and (2) we get \[{{v}_{rel}}={{v}_{2}}-{{v}_{1}}=\sqrt{2}{{v}_{0}}\]You need to login to perform this action.
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