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Laws of Motion question

2008 · Q151
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Laws of Motion question

2008 · Q151

NEETPhysicsLaws of MotionMCQ+4 / −1
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
  1. A
    16 m/s and 17 m/s
  2. B
    13 m/s and 14 m/s
  3. C
    14 m/s and 15 m/s
  4. D
    15 m/s and 16 m/s
View written solutionFree

Correct answer: C

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

AIPMT 2008 Physics - Laws of Motion Question 37 English Explanation


i.e., mg=mv2Rmg = {{m{v^2}} \over R}mg=Rmv2​

⇒v=gR=10×20=14.1 ms−1 \Rightarrow v = \sqrt {gR} = \sqrt {10 \times 20} = 14.1\,m{s^{ - 1}}⇒v=gR​=10×20​=14.1ms−1

Hence, the speed of the car should be between 14 ms–1 and 15 ms–1.

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