AFMC AFMC Solved Paper-2003

  • question_answer
    A cyclist moving at a speed of 20 m/s takes a turn, if he doubles his speed then chance of overturn:

    A) is doubled                          

    B) is halved

    C)  becomes four times     

    D) becomes 1/4 times

    Correct Answer: D

    Solution :

    A body performing circular motion is acted upon by a force which is always directed towards the centre of the circle. This force is called centripetal force. If m is mass, v is velocity and r is radius of circular path then \[F=\frac{m{{v}^{2}}}{r}\] \[\Rightarrow \]      \[F\propto {{v}^{2}}\]When speed is doubled i.e., (2 v) then        \[F'\propto {{(2v)}^{2}}\]               \[F'\propto 4{{v}^{2}}\] Hence, chance of over tunning becames \[\frac{1}{4}\]times.


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