﻿ 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 from Physics Gravitation Class 11 Manipur Board

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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

• 14 m/s and 15 m/s

• 15m/s and 16 m/s

• 16 m/s and 17 m/s

• 13m/s and 17 m/s

A.

14 m/s and 15 m/s

Balancing the forces, we get
Mg-N = Mv2/R
For weightlessness, N = 0
therefore, MV2/R = Mg
where R is the radius of curvature and v is the speeds of the car.
Therefore,

Thus, the speed of the car at the top of the hill is between 14 m/s and 15 m/s

Balancing the forces, we get
Mg-N = Mv2/R
For weightlessness, N = 0
therefore, MV2/R = Mg
where R is the radius of curvature and v is the speeds of the car.
Therefore,

Thus, the speed of the car at the top of the hill is between 14 m/s and 15 m/s
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