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In this analysis, we explore the physics of a rollercoaster car weighing 100 kg descending from a 12-meter hill. We calculate the power output of the brakes, which are situated 1 meter above ground and extend 3 meters in length, taking into account a friction coefficient of 0.6. By determining the drag force exerted on the car from the top of the hill to the bottom, we gain insights into the dynamics of rollercoaster safety systems and engineering principles behind amusement park rides.
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The Coaster Problem By Steven Leung, Henry Tsao, and Johnson Li
The Question • What is the power output of the brakes on the rollercoaster with a car that weighs 100kg. The final hill of the rollercoaster is 12m tall. The brake area is 1m above the ground and is 3m in length. What is the drag force of the car from the top of the hill to the bottom of the hill if the friction coefficient is 0.6.