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NEET Sample Paper NEET Sample Test Paper-88

  • question_answer
    A bag of mass M hangs by a long thread and a bullet (mass m) comes horizontally with velocity V and gets caught in the bag. Then for the combined (bag + bullet) system

    A) momentum \[=\frac{mvM}{M+m}\]

    B) kinetic energy \[=\frac{m\,{{V}^{2}}}{2}\]

    C) momentum \[=\frac{m\,V(M+m)}{M}\]

    D) kinetic energy \[=\frac{{{m}^{2}}\,\,{{v}^{2}}}{2(M+m)}\]

    Correct Answer: D

    Solution :

    [d] If V is velocity of combination (bag + bullet), then from principle of conservation of linear momentum \[(m+M)V=m\,v\,\,or\,\,V=\frac{mv}{(m+M)}\] \[K.E=\frac{1}{2}(m+M){{V}^{2}}=\frac{{{m}^{2}}\,{{v}^{2}}}{2(m+M)}\]


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