J & K CET Engineering J and K - CET Engineering Solved Paper-2006

  • question_answer
    A body of mass \[2\text{ }kg\]is projected at \[20\text{ }m/s\]at an angle \[{{60}^{o}}\] above the horizontal. Power due to the gravitational force at its highest point is

    A)  \[200\text{ }W\]      

    B)  \[100\sqrt{3\,}W\]

    C)  \[50\,W\]        

    D)  zero

    Correct Answer: A

    Solution :

    Power (P) is given as \[P=F.v=Fv\,\,\cos \,\theta \] where F is force, v the velocity and \[\theta \] the angle between F and v. \[P=mgv\,\,\cos \,\theta \] Given, \[m=2kg,\text{ }v=20\text{ }m/s,\text{ }\theta ={{60}^{o}}\] \[\therefore \] \[P=2\times 20\times 10\times \cos \,{{60}^{o}}\] \[P=2\times 20\times 10\times \frac{1}{2}\] \[\Rightarrow \] \[P=200W\]


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