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

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Q. A cyclist moving at a speed of $20 \,m/s$ takes a turn, if he doubles his speed then chance of overturn:

AFMCAFMC 2003Motion in a Plane

Solution:

When a cyclist moves on a circular path, it experience a centrifugal force which is equal to $mv ^{2} / r$ .It tries to overturn the cyclist in outward direction.If speed increase twice, the value of centrifugal force too increase to 4 times its earlier value.Therefore the change of overturning in $1 / 4$ times.