In the next few exercises you are going to use concepts of kinetic and potential

Question

In the next few exercises you are going to use concepts of kinetic and potential energy to answer questions about the energy transformations in part of a famous roller coaster, the Viper. The Viper is located in the Six Flags Magic Mountain Park in Valencia, California.

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It was built in 1990. It has a lift height of 188 [ft] and a maximum speed of 68 [mi/hr]. A VideoPoint or Logger Pro movie of the motion of the roller coaster along a short segment of the Viper track can be viewed by opening the QuickTime movie: viper. The diagram on the left shows a segment of the Viper Roller Coaster Track that includes a loop the loop motion. Note that the level stretch of track at the end of the segment is at the same height as the part of the track that is the starting point for the motion being analyzed.

11-2) Assume that there is no friction as the cars roll along the track. Identify which point or points along the track shown on the diagram (1 through 6) correspond to locations where the first cart of the roller coaster will have a:

1. maximum kinetic energy. Explain.

2. minimum kinetic energy. Explain.

3. maximum potential energy. Explain.

4. minimum potential energy. Explain.

5. zero kinetic energy. Explain

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Explanation / Answer

1. Point 1 (Since the potential energy is minimum there and the cart has to have high KE to climb)
2. Point 3 (As the roller coaster nearly stops there and then starts a free fall)
3. Again Point three as it's the highest point on track
4. At Point 1 because that's the point of max KE
5. Point 3 (As the roller coaster nearly stops there and then starts a free fall)

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