Kingda Ka in the United States is the world's tallest roller coaster. A motor pulls a cable attached to the train, accel

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Kingda Ka in the United States is the world's tallest rollercoaster. A motor pulls a cable attached to the train, acceleratingit at 16,3 m.s–2 from rest at point Oto 57,2 m.s–1 along a
horizontal track. At the end of the launch track(A) the train climbs the main tower reachingB at a vertical height of 139 m above the bottomof the track.

Kingda Ka In The United States Is The World S Tallest Roller Coaster A Motor Pulls A Cable Attached To The Train Accel 1 (20.49 KiB) Viewed 41 times

5. The Kingda Ka uses a launch motor which is capable ofproducing 1,5 × 107 W. What percentage of thispower is used in accelerating the train from rest to 57,2m.s-1?
6. The speed of the 8 500 kg train as it reaches the top ofthe 139 m tower (B) is 8 m.s-1.
a. Give a definition for the term mechanicalenergy?
b. Calculate the total mechanical energy of the train atB, the top of the tower, relative toA, the bottom of the tower.
c. Calculate the work done against friction in moving thetrain from A to B (fromthe bottom to the top of the tower). The train is moving at57,2 m.s-1 at the bottom of the tower(A).
d. Dirt on the track increases the magnitude of thefrictional force between A and B.What problem may be encountered by the train when climbing thetower towards B if there is dirt on the track?Explain your answer using principles of physics.
Simplified diagram 0 Launch start K A B 139 m