JEE Main & Advanced Physics Vectors Question Bank Multiplication of Vectors

  • question_answer
    A particle moves with a velocity \[6\hat{i}-4\hat{j}+3\hat{k}\,m/s\]under the influence of a constant force \[\overrightarrow{F}=20\hat{i}+15\hat{j}-5\hat{k}\,N.\,\]The instantaneous power applied to the particle is                 [CBSE PMT 2000]

    A)                 35 J/s    

    B)                 45 J/s

    C)                 25 J/s    

    D)                 195 J/s

    Correct Answer: B

    Solution :

                        \[P=\vec{F}.\vec{v}=20\times 6+15\times (-4)+(-5)\times 3\]                     \[=120-60-15=120-75=45\]J/s


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