A) \[\frac{M}{m+M}a\]
B) \[\frac{m}{m+M}a\]
C) \[\frac{m+M}{m}a\]
D) \[\frac{m+M}{M}a\]
Correct Answer: B
Solution :
If v is the final velocity, then according to the principle of conservation of momentum, \[{{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}=({{m}_{1}}+{{m}_{2}})v;\] or, \[v={{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}/({{m}_{1}}+{{m}_{2}})\] Using values from the question, \[\upsilon =m\times a+0/(m+M)=ma/(m+M)\]You need to login to perform this action.
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