J & K CET Engineering J and K - CET Engineering Solved Paper-2004

  • question_answer
    A body moving with velocity v has momentum and kinetic energy numerically equal. What is the value of v?

    A)  \[2\text{ }m/s\]       

    B)  \[\sqrt{2}\text{ }m/s\]

    C)  \[1\text{ }m/s\]       

    D)  \[0.2\text{ }m/s\]

    Correct Answer: A

    Solution :

    Kinetic energy is the energy possessed by a body due to its velocity (v) given by \[K=\frac{1}{2}m{{v}^{2}}\]                ...(i) Momentum (p) = mass (m) x velocity (v)... (ii) Given,           \[K=P\] \[\therefore \] \[\frac{1}{2}m{{v}^{2}}=mv\] \[\Rightarrow \] \[v=2m/s\]


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