BVP Medical BVP Medical Solved Paper-2015

  • question_answer
    A block of mass M is pulled by a constant power P is placed on a rough horizontal plane. The frictional coefficient between block and surface is \[{{\gamma }_{2}}\] Find the maximum velocity of the block.                

    A)  \[\frac{{{\gamma }_{1}}-{{\gamma }_{2}}}{3}+\frac{\alpha }{3}\]             

    B)  \[\frac{{{\gamma }_{1}}-{{\gamma }_{2}}}{2}+\alpha \]

    C)                  \[\frac{{{\gamma }_{1}}-{{\gamma }_{2}}}{3}+3\alpha \]                             

    D)  \[\frac{{{\gamma }_{1}}-{{\gamma }_{2}}}{3}+\alpha \]

    Correct Answer: B

    Solution :

                    As, Power P = .FV = constant \[\Rightarrow \]               \[F=\frac{P}{V}\] or, \[F\propto \frac{1}{V}\] as            \[V\uparrow .F\downarrow \] When net force on block becomes zero, i.e. its maximum velocity \[P=({{\mu }_{mg}}){{v}_{\max }}={{v}_{\max }}=\frac{P}{\mu mg}\]


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