Verified Solution • 2025–26 Session moderate

QAIPMT-2008-Ph-2278: NEET 2008 Physics - Class 11 AIPMT-2008-Ph-2278 Solution: A roller coaster is designed such that riders experience…

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

Multiple Choice Options

  • 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

Step-by-Step Verified Solution

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., m g = m v 2 R _ v = g R = 10 _ 20 = 14.1 m s _ 1 Hence, the speed of the car should be between 14 ms �1 and 15 ms �1 .

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