Question 244: Laws of Motion

Question

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

Accepted Answer

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., $$mg = {{m{v^2}} \over R}$$
$$ \Rightarrow v = \sqrt {gR}  = \sqrt {10 	imes 20}  = 14.1\,m{s^{ - 1}}$$
Hence, the speed of the car should be between 14 ms
Ã¢ÂÂ1
and 15 ms
Ã¢ÂÂ1
.

Answer

16 m/s and 17 m/s

Answer

13 m/s and 14 m/s

Answer

14 m/s and 15 m/s

Answer

15 m/s and 16 m/s

Laws of Motion

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

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