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VMMC VMMC Medical Solved Paper-2006

  • question_answer
    A particle moves with a velocity \[(5\mathbf{\hat{i}}-3\mathbf{\hat{j}}+6\mathbf{\hat{k}})\]m/s under the influence of a constant force \[\vec{F}=(10\mathbf{\hat{i}}+10\mathbf{\hat{j}}+12\mathbf{\hat{k}})\]N. The instantaneous power applied to the particle is:

    A) 200 J/s                 

    B) 40 J/s                    

    C) 140 J/s 

    D)        170 J/s

    Correct Answer: C

    Solution :

    \[\vec{v}=(5\hat{i}-3\hat{j}+6\hat{k})m/s\] \[\vec{F}=(10\hat{i}+10\hat{j}+20\hat{k})N\] \[\therefore \]Power \[\vec{P}=\vec{F}.\vec{v}\]                 \[=(10\hat{i}+10\hat{j}+20\hat{k}).(5\hat{i}-3\hat{j}+6\hat{k})\] \[=50-30+120\] \[=140\,W\]


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