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Mechanics: Conservation of Energy

Q- A roller coaster car of mass 1000 kg is riding along a track from point A to point C as in figure. (g = 10 m/s2)

(a) Assuming no friction between the track and the car, what is the speed of the car at the top of first hill A?

(b) What is the speed of the car at the top of second hill B?

(c) What is the maximum speed of the car along the track?

(d) Assume there is friction and the car start with the same speed at A. If the work done against friction from A to C is 50000 J, will the car still reach C and if so what is its velocity at C?    

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