JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Question Bank Conservation of Energy and Momentum

  • question_answer
    A body of mass 5 kg is moving with a momentum of 10 kg-m/s. A force of 0.2 N acts on it in the direction of motion of the body for 10 seconds. The increase in its kinetic energy is                 [MP PET 1999]

    A)                 2.8 Joule

    B)                    3.2 Joule

    C)                 3.8 Joule

    D)                    4.4 Joule

    Correct Answer: D

    Solution :

                        Change in momentum = Force × time                 \[{{P}_{2}}-{{P}_{1}}=F\times t=0.2\times 10=2\]                 Þ \[{{P}_{2}}=2+{{P}_{1}}=2+10=12kg\text{-}m/s\]                 Increase in K.E. = \[\frac{1}{2m}(P_{2}^{2}-P_{1}^{2})\ =\frac{1}{2\times 5}\left[ {{(12)}^{2}}-{{(10)}^{2}} \right]\]                 \[=\frac{44}{10}=4.4J\]


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