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J & K CET Medical J & K - CET Medical Solved Paper-2007

  • question_answer
    A particle moves from position \[3\hat{i}+2\hat{j}+6\hat{k}\]to \[14\hat{i}+13\hat{j}+9\hat{k}\]due to a uniform force of \[4\hat{i}+\hat{j}+3\hat{k}\] N. Find the work done, if the displacement is in metre.

    A)  16 J                                       

    B)  64 J

    C)  32 J                                       

    D)  48 J

    Correct Answer: B

    Solution :

                     Work done\[=\overrightarrow{F}.\overrightarrow{d}\] \[=(4\hat{i}+\hat{j}+3\hat{k}).[(14-3)\hat{i}+(13-2)\hat{j}\] \[+(9-6)\hat{k}]\]                 \[=(4\hat{i}+\hat{j}+3\hat{k}).(11\hat{i}+11\hat{j}+3\hat{k})\] \[=44+11+9=64J\]


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