Question Dealing with Newtons Laws

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SUMMARY

The discussion focuses on calculating the range of speeds for a 940 kg car navigating a banked curve with a radius of 16 m and a coefficient of static friction of 0.300. The maximum speed (vmax) is determined to be 59.69 m/s. The problem emphasizes the importance of understanding the forces acting on the car, including gravitational force and friction, to prevent skidding. The analysis neglects air drag and rolling friction, simplifying the calculations for practical application.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Knowledge of centripetal force and banking angles
  • Familiarity with friction coefficients and their implications
  • Basic algebra for solving equations involving velocity and mass
NEXT STEPS
  • Calculate the minimum speed (vmin) for the car using the given parameters
  • Explore the effects of varying the coefficient of static friction on speed limits
  • Investigate the role of banking angles in curve design for safety
  • Learn about the dynamics of vehicles on icy surfaces and their implications for road safety
USEFUL FOR

This discussion is beneficial for physics students, automotive engineers, and safety analysts focused on vehicle dynamics and road design, particularly in icy conditions.

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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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