000C-0-75236-201770/Exarm m202 Scienti ficinquiry St bbprod stjohns.edu av/pid-1

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000C-0-75236-201770/Exarm m202 Scienti ficinquiry St bbprod stjohns.edu av/pid-1423147-d-content-rid-9223659 1/courses/5Ci-1 What is the approximate Chegg Stud 24. Considera roller coaster like Kingda Ka at Six Flags Great Adventure at Jackson, New Jersey. This coaster starts from a position A, at h 0 m, and then speeds up to VA 120 m/s, Find (a) the speed of Kingda Ka when it reaches the top of the track at position B, where the heightis hs 130 m, and (b) the speed of the roller coaster when it turns around at the very top, and falls back to the ground, at approximately hc = 10, since the roller is sitting above the initial ground it started. (c) Make a qualitative sketch of the coaster from positions A -C, explain what is happening in each posi coaster, yes or no? tion, and does this make any sense to the real life

Explanation / Answer

Ans:-

Conservation of energy

K1 +U1 = K2 +U2

1/2mvA^2 + mghA = 1/2mvB^2 + mghB

1/2m (120)^2 +0 = 1/2m VB^2 + m*9.8*1300

7200= 1/2VB^2 +12740

Vb= 105.26m/s

B] conservation of energy

mghB +1/2mvB^2 = mghC +1/2mvc^2

9.8*130 + ½*105.26^2 = 9.8*10 +1/2vc^2

Vc= 115.9m/s

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