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

Step-by-step solution

Balancing the forces, we get M g-N=M v^2 R For weightlessness, N=0 M v^2 R =M g where R is the radius of curvature and v is the speed of car. Therefore, v= R g Putting the values, R=20 ~m , g=10.0 ~m / s ^2 So, y= 20 10.0 =14.14 ~m / s ^2 Thus, the speed of the car at the top of the hill is between 14 ~m / s and 15 ~m / s . Note: The roller coaster is a popular amusement ride developed for amusement parks and modern theme parks.