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

  • question_answer A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to         [AIEEE 2004]

    A)             \[{{x}^{2}}\]

    B)               \[{{e}^{x}}\]

    C)             x         

    D)             \[{{\log }_{e}}x\]

    Correct Answer: A

    Solution :

                    This condition is applicable for simple harmonic motion. As particle moves from mean position to extreme position its potential energy increases according to expression \[U=\frac{1}{2}k{{x}^{2}}\] and accordingly kinetic energy decreases.

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