A roller coaster design is presented to you where the maximum speed of the car will be 9.00 meters per second and the highest point of the tracks is 5.099 meters above the lowest point.  Do you accept or reject the design?  Use conservation of energy to justify your decision.

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A roller coaster design is presented to you where the maximum speed of the car will be 9.00 meters per second and the highest point of the tracks is 5.099 meters above the lowest point.  Do you accept or reject the design?  Use conservation of energy to justify your decision.

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Step 1

according to the conservation of energy,

the total mechanical energy at the lowest point of the track must be equal to the total mechanical energy at the highest point of the track.

total mechanical energy at the lowest point of the track,

Elow = 12mv2 +mgh

as the height is zero,

Elow = 12mv2

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