NEET Sample Paper NEET Sample Test Paper-39

  • question_answer The force F acting on a particle of mass m is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to 8 s is

    A)  24 Ns       

    B)  20 Ns

    C)  12Ns       

    D)  6Ns

    Correct Answer: C

    Solution :

     \[F=\frac{dp}{dt}dp=F.dt\]or \[\int\limits_{{{p}_{i}}}^{{{p}_{f}}}{dp=\int_{{}}^{{}}{{}}}\] Change in momentum = Area under the F versus graph in that interval \[=\left( \frac{1}{2}\times 2\times 6 \right)-(2\times 3)+(4\times 3)\] \[=6-6+12=12\,Ns\]

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