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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 :

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a

14 m/s and 15 m/s

b

15 m/s and 16 m/s

c

13 m/s and 14 m/s

d

16 m/s and 17 m/s

answer is C.

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Detailed Solution

mv2R=mgv=Rg=20×10=200m/s
= 14.14 m/s

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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 :