A roller coaster has a mass of 510kg when fully loaded with passengers. The radius at point A is 10.0 m and the radius at point B is 15.0 m.
-If the vehicle has a speed of 19.6 m/s at point A, what is the force exerted by the track on the car at this point? (N)
-What is the maximum speed the vehicle can have at B and still remain on the track? (m/s)
EF=m (v^2 / r)
The Attempt at a Solution
*For the first problem I thought you would use the equation EF=m (v^2 / r). Which would be EF=510 (19.6^2 / 10.0). Which equals 510*(384.16/10.0). Equals 19592.16. However, this is wrong! Isn't that the right equation?
*For the second problem, I'm not sure where to start. But I'm assuming that I will need the correct force value before I can begin.
Any suggestion as to where I'm going wrong?