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NEET Sample Paper NEET Sample Test Paper-51

  • question_answer
    Power applied to a particle varies with time as \[P=\left[ 3{{t}^{2}}-2t+1 \right]\] watts. Where t is time in seconds. Then the change in kinetic energy of particle between time \[t=2s\text{ }to\text{ }t=4s\] is-

    A) 46 J                             

    B) 52 J

    C) 92 J                             

    D) 104 J

    Correct Answer: A

    Solution :

    \[P=3{{t}^{2}}-2t+1~~~\,\,\,P=\frac{Ek}{t}=3{{t}^{2}}-2t+1\] \[K.E.\left( 3{{t}^{2}}-2t+1 \right)\,\,\,dt=\left( {{t}^{3}}-{{1}^{2}}+t \right)_{2}^{1}=46\,J\]


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