9th Class Science Time and Motion Question Bank Motion

  • question_answer
    A stone weighing 3 kg falls from the top of a tower 100 m high and buries itself 2 m deep in the sand. The time of penetration is

    A)  0.09 sec             

    B)         0.9 sec

    C)  2.1 sec            

    D)         1.3 sec

    Correct Answer: A

    Solution :

                \[v=\sqrt{2gh}\]             \[=\sqrt{2\times 9.8\times 100}=14\sqrt{10}m/\sec \] Now,     \[{{v}^{2}}={{u}^{2}}+2as\] \[\therefore \]    \[0=(14\sqrt{10})2+2a\times 2\] \[\Rightarrow \]   \[a=-490\,\,m/{{s}^{2}}\] Again,   \[v=u+at\] \[\therefore \]      \[0=14\sqrt{10}-490t\] \[\therefore \]      \[t=\frac{14\sqrt{10}}{490}=\mathbf{0}\mathbf{.09}\,\,\mathbf{sec}\]


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