JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति JEE PYQ - Work Energy Power and Collision

  • question_answer
    At time t = 0s a particle starts moving along the x-axis. If its kinetic energy increases uniformly with time 't', the net force acting on it must be proportional to :                   [AIEEE 11-05-2011]

    A) constant

    B) t  

    C) \[\frac{1}{\sqrt{t}}\]

    D) \[\sqrt{t}\]

    Correct Answer: C

    Solution :

    [c] K.E. = ct
    \[\frac{1}{2}m{{v}^{2}}=ct\]
    \[\frac{{{P}^{2}}}{2m}=ct\]
    \[P=\sqrt{2ctm}\]
    \[F=\frac{dP}{dt}=\sqrt{2cm}\frac{1}{2}\times \frac{1}{\sqrt{t}}\]
    \[F\propto \frac{1}{\sqrt{t}}.\]


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