A small section of a roller coaster consists of two hills and two dips. Three roller coaster cars (200 kg each) were lifted to the top of a hill that is 22 meters high. (a) How much work was done by the lift motor to get the cars to the top of the first hill (point B )?

(b) How much total mechanical energy does the car have at the top of the first hill (point B ) if it temporarily paused before it descends to point C ?

(c) What is the maximum speed that the coaster cars can attain at point C ?

(d) What is the net force on a 100 N passenger at point C ?

(e) What will be the net force on the same 100 N passenger at point D ?

(f) Will the cars maintain contact with the track at the top of the 14 meter tall second hill? Explain.

(g) What would be the minimum height of hill two (point D ) for the passenger in the cars to just maintain contact with the seat?

(h) What would be the g-force on the passenger at point D?