9th Class Science Time and Motion Question Bank Motion

  • question_answer
    If a body of mass 0.10 kg is moving on circular path of diameter 1.0 m at the rate of 10 revolutions per 31.4 sec, then centripetal force acting on the body (\[\pi \] = 3.14) is

    A)  0.2 Newton        

    B)         2.0 Newton

    C)  0.02 Newton     

    D)         20.0 Newton

    Correct Answer: A

    Solution :

                \[F=\frac{m{{v}^{2}}}{r}=mr{{\omega }^{2}}\] Here, \[m=0.10\,\,kg,\,\,r=0.5\,\,metre\] and       \[\omega =\frac{2\pi n}{t}=\frac{2\times 3.14\times 10}{31.4}=2\,\,rad/\sec \] \[\therefore \]\[F~=0.10\times 0.5\times {{(2)}^{2}}=0.2\]Newton


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