SSC Sample Paper SSC (Group-C) Sample Test Paper-4

  • question_answer
    A bullet of mass W and velocity 'a' is fired an to a large block of wood of mass W. The final velocity of the system is

    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.
You will be redirected in 3 sec spinner