JIPMER Jipmer Medical Solved Paper-2001

  • question_answer
    The kinetic energy K of a particle moving along a circle of radius R depends on the distance covered s as \[K=a{{s}^{2}}\]. The force acting on the particle is:

    A)  \[\frac{2a{{R}^{2}}}{s}\]                                              

    B)  \[\frac{2a{{s}^{2}}}{R}\]                              

    C)  \[{{\left[ 1+\left( \frac{{{s}^{2}}}{{{R}^{2}}} \right) \right]}^{1/2}}\]        

    D)         \[2as\]

    Correct Answer: D

    Solution :

    \[{{E}_{k}}=\frac{1}{2}m{{v}^{2}}=a{{s}^{2}}\]or \[{{v}^{2}}=\frac{2a{{s}^{2}}}{m}\] or            \[2v\frac{dv}{dt}=\frac{2a}{m}2s\] So acceleration\[=\frac{2as}{m}\] Therefore force = acceleration\[\times \]mass \[=\frac{2as}{m}\times m=2as\]


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