A) \[+3.5\text{ }m{{s}^{-1}}\]
B) \[-3.5\text{ }m{{s}^{-1}}\]
C) \[-\sqrt{(3.5)}\text{ }m{{s}^{-1}}\]
D) \[+\sqrt{(3.5)}\text{ }m{{s}^{-1}}\]
E) \[\text{+7 }m{{s}^{-1}}\]
Correct Answer: B
Solution :
\[{{m}_{1}}{{u}_{1}}+{{m}_{2}}{{u}_{2}}=0\] \[\Rightarrow \] \[{{u}_{1}}=-\frac{{{m}_{2}}{{u}_{2}}}{{{m}_{1}}}\] \[=\frac{0.050\times 280}{4}=-3.5\,m{{s}^{-1}}\]
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