JEE Main & Advanced Physics Work, Energy, Power & Collision Question Bank Work Done by Variable Force

  • question_answer A body of mass 0.1 kg moving with a velocity of 10 m/s hits a spring (fixed at the other end) of force constant 1000 N/m and comes to rest after compressing the spring. The compression of the spring is                                   [MP PMT 2001]

    A)             \[0.01\,m\]       

    B)             \[0.1\,m\]

    C)             \[0.2\,m\]         

    D)             \[0.5\,m\]

    Correct Answer: B

    Solution :

        \[\frac{1}{2}m{{v}^{2}}=\frac{1}{2}k{{x}^{2}}\]Þ\[x=v\sqrt{\frac{m}{k}}=10\sqrt{\frac{0.1}{1000}}=0.1\,m\]

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