A) 0.2 m/s
B) 0.1 m/s
C) 0.5 m/s
D) 0.05 m/s
Correct Answer: A
Solution :
Given, mass of the bullet \[({{m}_{b}})=0.1\text{ }kg\] Velocity of the bullet \[({{v}_{b}})=100\text{ }m/s\] Mass of the gun \[({{m}_{g}})=50\text{ }kg\] Velocity of the gun0 \[({{v}_{g}})=?\] We know, \[{{m}_{b}}\text{ }{{v}_{b}}={{m}_{g}}\text{ }{{v}_{g}}\] \[\Rightarrow \] \[{{v}_{g}}=\frac{{{m}_{b}}{{v}_{b}}}{{{m}_{g}}}=\frac{0.1\times 100}{50}=0.2\,m/s\]
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