A roller coaster is designed such that riders experience "weightlessness" as they go round

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5.Work, Energy, Power and Collision

medium

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

A$16\ m/s$ and $ 17\ m/s $

B$13\ m/s$ and $14\ m/s$

C$14\ m/s$ and $15\ m/s$

D$15\ m/s$ and $ 16\ m/s$

(AIPMT-2008)

Solution

$\begin{array}{l}
\,\,\,\,\,\,\,\,\,mg = \frac{{m{v^2}}}{R} \Rightarrow v = \sqrt {Rg} \\
v = \sqrt {20 \times 10} = \sqrt {200} = 14.1m/s\\
i.e,.\,Between\,14\,and\,15\,m/s.
\end{array}$

Standard 11

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