CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2009

  • question_answer
    A particle is acted upon by a force F which varies with position\[x\]as shown in figure. If the particle at\[x=0\]has kinetic energy of \[25J,\] then the kinetic energy of the particle at \[x=16\text{ }m\]is

    A)  \[45\text{ }J\]                  

    B)  \[30\text{ }J\]

    C)  \[70\text{ }J\]                  

    D)         \[135\text{ }J\]

    E)  \[20\text{ }J\]

    Correct Answer: A

    Solution :

    Work done = area between the force displacement graph \[W=\frac{1}{2}\times 6\times 10-5\times 4+5\times 4-5\times 2\] \[W=20\,J\] According to work-energy theorem \[K{{E}_{f}}=W+\Delta K\] \[=20+25\] \[=455\,J\]


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