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 :
[d] |
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 |
\[{{v}_{rel}}={{v}_{2}}-{{v}_{1}}=\sqrt{2}{{v}_{0}}\] |
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