J & K CET Engineering J and K - CET Engineering Solved Paper-2009

  • question_answer
    If the force acting on a body is inversely proportional to its speed, then its kinetic energy is

    A)  linearly related to time

    B)  inversely proportional to time

    C)  inversely proportional to the square of time

    D)  a constant

    Correct Answer: A

    Solution :

    Given, force \[(F)\propto \frac{1}{v}\] or \[ma=\frac{k}{v}\] or \[m\times \frac{v}{t}=\frac{k}{v}\] or \[m{{v}^{2}}=kt\] or \[\frac{1}{2}m{{v}^{2}}=k't\] \[\Rightarrow \] \[KE\propto t\]


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