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9th Class Science Work and energy Question Bank Work, Energy and Power

  • question_answer
    By how much does the kinetic energy of a particle increase if the velocity is increased by a factor of three?

    A) \[6\]                 

    B)        \[7\]

    C) \[8\]                 

    D)        \[9\]  

    Correct Answer: D

    Solution :

    \[K.E.=\frac{1}{2}m{{v}^{2}},\,\,K.E{{.}_{1}}=\frac{1}{2}mv_{1}^{2}\]             \[=\frac{1}{2}m{{(3v)}^{2}}=9\,\,K.E.\] \[\therefore \]Kinetic energy increases by \[9\] times, if the velocity increases by a factor of three.


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