Gravitation - Result Question 17

17. A roller coaster is designed such that riders experience “weightlesness” as they go round the top of a hill whose radius of curvature is 20m. The speed of the car at the top of the hill is between:

[2008]

(a) 14m/s and 15m/s

(b) 15m/s and 16m/s

(c) 16m/s and 17m/s

(d) 13m/s and 14m/s

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Answer:

Correct Answer: 17. (a)

Solution:

  1. (a) 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=mv2R

v=gR=10×20=14.1ms1

Hence, the speed of the car should be between 14ms1 and 15ms1.



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