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  4. A roller coaster is designed such that riders experience ''weightlessness'' as they go round the top of a hill whose radius of curvature is 20 m. The speed of the car at the top of the hill is between

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Q. A roller coaster is designed such that riders experience ''weightlessness'' as they go round the top of a hill whose radius of curvature is $20 \,m$. The speed of the car at the top of the hill is between

AIPMTAIPMT 2008Laws of Motion

Solution:

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$mg=\frac{mv^2}{R}\Rightarrow v=\sqrt {Rg}$
$v=\sqrt{20\times10}=\sqrt{200}=14.1\,m/s$
i.e.. Between $14$ and $15 \,m/s$.