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JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Spring Pendulum

  • question_answer
    A block of mass m, attached to a spring of spring constant k, oscillates on a smooth horizontal table. The other end of the spring is fixed to a wall. The block has a speed v when the spring is at its natural length. Before coming to an instantaneous rest, if the block moves a distance x from the mean position, then                                             [MP PET 1996]

    A)            \[a\sqrt{2}\]                         

    B)            \[\frac{3E}{4}\]

    C)            \[\frac{\sqrt{3}}{4}E\]      

    D)            \[\frac{E}{2}\]

    Correct Answer: C

    Solution :

                       By using conservation of mechanical energy            \[\frac{1}{2}k{{x}^{2}}=\frac{1}{2}m{{v}^{2}}\Rightarrow x=v\sqrt{m/k}\]


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