Uttarakhand PMT Uttarakhand PMT Solved Paper-2009

  • question_answer
    A car of mass m is moving with momentum \[p\]. If \[\mu \], be the coefficient of friction between the tyres and the road, what will be stopping distance due to friction alone ?

    A) \[\frac{{{p}^{2}}}{2\mu g}\]

    B) \[\frac{{{p}^{2}}}{2m\mu g}\]

    C) \[\frac{{{p}^{2}}}{2{{m}^{2}}\mu g}\]

    D) \[\frac{{{p}^{2}}}{2mg}\]

    Correct Answer: C

    Solution :

     If the car stops after covering distance\[s,\]then \[F\times s=\frac{{{p}^{2}}}{2m}\] where   \[F=\]friction Now    \[F=\mu mg\] So, \[\mu mg\times s=\frac{{{p}^{2}}}{2m}\] \[\Rightarrow \] \[s=\frac{{{p}^{2}}}{2\mu {{m}^{2}}g}\]


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