A roller-coaster car has a mass of 502 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves only up-and-down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points and are parts of vertical circles of radius r₁10.0 m and r₂ = 15.0 m, respectively. (a) If the vehicle has a speed of 20.7 m/s at point, what is the force exerted by the track on the car at this point? (b) What is the maximum speed the vehicle can have at and still remain on the track? m/s

A roller-coaster car has a mass of 502 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves only up-and-down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points and are parts of vertical circles of radius r₁10.0 m and r₂ = 15.0 m, respectively. (a) If the vehicle has a speed of 20.7 m/s at point, what is the force exerted by the track on the car at this point? (b) What is the maximum speed the vehicle can have at and still remain on the track? m/s