Manipal Medical Manipal Medical Solved Paper-2004

  • question_answer
    A ball of mass 0.25 kg attached to the ends of a string of length 1.96 m is rotating in a horizontal circle. The string will break, if tension is more than 25 N. What is the maximum velocity with which the ball can be rotated?

    A)  3 m/s      

    B)  5 m/s

    C)  9 m/s      

    D)  14 m/s

    Correct Answer: D

    Solution :

     Given:\[m=0.25\text{ }kg,\text{ }l=1.96\text{ }m\]and \[t=25N\] Centrifugal force (tension) in the string is given by \[F=\frac{m{{\upsilon }^{2}}}{r}\] \[\Rightarrow \] \[{{\upsilon }^{2}}=\frac{Fr}{m}\] \[\Rightarrow \] \[{{\upsilon }^{2}}=\frac{25\times 1.96}{0.25}=196\] \[\Rightarrow \] \[{{\upsilon }^{2}}=\sqrt{196}\] \[=14\text{ }m/s\]


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