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J & K CET Engineering J and K - CET Engineering Solved Paper-2008

  • question_answer
    Given that the force acting on a material point is inversely proportional to the velocity of the moving point. Then the kinetic energy of the point is a ...... function of time.

    A)  exponential    

    B)  linear

    C)  second degree  

    D)  non-linear

    Correct Answer: B

    Solution :

    Given,   \[F\propto \frac{1}{v}\] \[\Rightarrow \] \[F=\frac{A}{v}\] where A is a constant of integration \[\Rightarrow \] \[m\frac{dv}{dt}=\frac{A}{v}\] \[\Rightarrow \] \[m\int{vdv=A\int{dt}}\] \[\Rightarrow \] \[m\frac{{{v}^{2}}}{2}=At+c,\] Hence, options [b] is correct.


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