Question Dealing with Newtons Laws

AI Thread Summary
To determine the range of speeds for a car on a banked curve with a radius of 16 m and a coefficient of static friction of 0.300, calculations reveal a maximum speed of 59.69 m/s. The minimum speed must be calculated considering the forces acting on the car, including gravitational force and the banking angle. If the car exceeds the maximum speed, it risks sliding up the bank, while going below the minimum speed could cause it to slide down. The solution requires applying Newton's laws to analyze the forces involved in circular motion. Ultimately, the range of safe speeds is critical for ensuring vehicle stability on icy roads.
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Homework Statement


A curve of radius 16 m is banked so that a 940 kg car traveling at 44.4 km/h can round it even if the road is so icy that the coefficient of static friction is approximately zero. You are commissioned to tell the local police the range of speeds at which a car can travel around this curve without skidding. Neglect the effects of air drag and rolling friction. If the coefficient of static friction between the road and the tires is 0.300, what is the range of speeds you tell them?


Homework Equations


Fnet = angular vel. * r * m


The Attempt at a Solution


I got vmax right = 59.69 m/s

vmin = ?
 
Physics news on Phys.org
If the car were going too fast, it would slide up the banked turn. If the car were going too slow, its weight would make it slide down the slope of the banked turn.
 

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