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NEET Sample Paper NEET Sample Test Paper-6

  • question_answer
    A massive platform of mass m is moving with speed \[V=6m{{s}^{-1}}.\] At, \[t=0\] a body of mass \[m(m<<M)\]is gently placed on the platform. If coefficient of friction between body and platform is \[\mu =0.3\] and \[g=10m/{{s}^{2}}\]then:

    A)  The body covers a distance 3m on the platform in the direction of motion of the platform

    B)  The body covers a distance 3m on the platform opposite to the direction of motion of platform before coming to rest.

    C)  The body covers a distance 6m on the platform in the direction of motion of the platform

    D)  The body covers a distance 6m on the platform opposite to the direction of motion of platform before coming to rest

    Correct Answer: D

    Solution :

    Since \[M>>m,\] the velocity of M remains unchanged after m is placed on to it Acceleration of m, \[a=\frac{\mu mg}{m}=\mu g\] \[{{a}_{mM}}=a-0=a\] and initial relatives velocity \[{{V}_{mM}}=0-V=-V\] Hence, \[{{S}_{mM}}=\frac{V_{mM}^{2}}{2{{a}_{mM}}}=\frac{{{(6)}^{2}}}{2\times 0.3\times 10}=6m\]


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