MGIMS WARDHA MGIMS WARDHA Solved Paper-2011

  • question_answer
    If a body loses half of its velocity on penetrating 3 cm in a wooden block then how much will it penetrate more before coming to rest?

    A)  1 cm                                     

    B)  2 cm

    C)   3 cm                                    

    D)  4 cm

    Correct Answer: A

    Solution :

                     Let initial velocity of body at point A is v. AB is 3 cm \[{{v}^{2}}={{u}^{2}}-2as\] \[{{\left( \frac{v}{2} \right)}^{2}}={{v}^{2}}-2a\times 3\]                 \[a=\frac{{{v}^{2}}}{8}\] Let an penetrating 3 cm in a wooden block the body moves\[x\]distance from B to C According to the question \[u=\frac{v}{2}\]and\[v=0\] \[\therefore \]  \[{{(0)}^{2}}={{\left( \frac{v}{2} \right)}^{2}}-2\times \frac{{{v}^{2}}}{8}\times x\]


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