A roller coaster is designed such that riders experience

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A roller coaster is designed such that riders experience “weightlesness” 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 :

1. 14 m/s and 15 m/s
2. 15 m/s and 16 m/s
3. 16 m/s and 17 m/s
4. 13 m/s and 14 m/s

For the riders to experience weightlessness at the top of the hill, the weight of the rider must be balanced by the centripetal force.

i.e. , mg =	mv²
	R

⇒ v = √gR = √10 × 20 = 14.1 ms^-1
Hence, the speed of the car should be between 14 ms^–1 and 15 ms^–1.