Please do step by step. I once rode “Superman: The Ride” at Magic Mountain. The

Question

Please do step by step.

I once rode “Superman: The Ride” at Magic Mountain. The ride accelerates a car through a launching station, then the track turns vertically upward. The car rises up the track to a height of 415 ft, then falls back down under the influence of gravity and stops again back at the starting point. The braking mechanism at the end of the ride malfunctioned so the car continued through the launching station onto a safety track where it was stopped by friction. I estimate that the coefficient of friction was 0.5. I can see that the safety track is 200 meters long. The ride specs say that the car weighs 6 tons. I also noticed that the brakes did partially engage. The ride attendant apologized for the malfunction and offered to let us ride again without waiting in line. Should I get off?

Explanation / Answer

The normal force n is perpendicular to the roadway at an angle B with the vertical.Thus it has a vertical component ncosB and a horizontal component nsinB. forces in x and y directions are Fx = nsinB = ma_rad Fy = ncosB + (-mg) = 0 An expression for the banking angle: tanB = a_rad/g we know that a_rad = v^2/R or tanB = v^2/gR The banking angle depends on the speed and the radius.

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