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JEE Main & Advanced Sample Paper JEE Main Sample Paper-21

  • question_answer
    A shell is fired from a cannon with a velocity V (m/s) at an angle 9 with the horizontal direction. At the highest point in its path, it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon. The speed of the other piece. immediately after the explosion is :

    A)  \[3V\cos \theta \]           

    B)  \[2V\cos \theta \]

    C)  \[\frac{3}{2}V\cos \theta \]                    

    D)  \[\sqrt{\frac{3}{2}}V\cos \theta \]

    Correct Answer: A

    Solution :

    At the highest point, there is only the horizontal velocity. For conservation of linear momentum \[2m(V\cos \theta )\,=V'-mV\,\cos \theta \] \[V'=3\,V\cos \,\theta \]


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