A) \[\frac{m+M}{m}a\]
B) \[\frac{M}{m+M}a\]
C) \[\frac{m+M}{M}a\]
D) \[\frac{m}{m+M}\text{a}\]
Correct Answer: D
Solution :
Given value, \[{{m}_{1}}=m,\,\,{{v}_{1}}=a\] \[{{m}_{2}}=M,{{v}_{2}}=0\] The final velocity of the system is \[=\frac{{{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}}{{{m}_{1}}+{{m}_{2}}}=\frac{ma+0}{m+M}=\frac{ma}{m+M}\]
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