What is the minimum distance in which the car will stop?

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SUMMARY

The minimum stopping distance of a car traveling at 34.5 mi/h can be calculated using the coefficients of static friction for different road conditions. For a rainy day with a coefficient of static friction of 0.064, the stopping distance is significantly longer than on a dry surface with a coefficient of 0.675. The calculations involve applying the formula for stopping distance, which incorporates the vehicle's speed, gravitational acceleration (9.8 m/s²), and the friction coefficient. Understanding these principles is crucial for accurate results in vehicle dynamics.

PREREQUISITES
  • Understanding of basic physics concepts, particularly friction and acceleration.
  • Familiarity with the formula for stopping distance in physics.
  • Knowledge of unit conversions between miles per hour and meters per second.
  • Basic mathematical skills for solving equations.
NEXT STEPS
  • Research the formula for stopping distance in physics, specifically the equation involving friction and acceleration.
  • Learn about the effects of different coefficients of friction on vehicle stopping distances.
  • Explore unit conversion techniques between imperial and metric systems, focusing on speed.
  • Investigate the impact of weather conditions on road safety and vehicle dynamics.
USEFUL FOR

Physics students, automotive engineers, safety analysts, and anyone interested in understanding vehicle stopping distances under varying road conditions.

debbie18
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Can someone tell me how to do this question:
1. a) A car is traveling at 34.5 mi/h on a horizontal highway. The acceleration of gravity is 9.8 m/s^2. If the coefficient of static friction between road and tires on a rainy day is 0.064, what is the minimum distance in which the car will stop?
b) What is the stopping distance when the surface is dry and the coefficient of friction is 0.675.
Thanks.
 
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debbie18 said:
Can someone tell me how to do this question:
1. a) A car is traveling at 34.5 mi/h on a horizontal highway. The acceleration of gravity is 9.8 m/s^2. If the coefficient of static friction between road and tires on a rainy day is 0.064, what is the minimum distance in which the car will stop?
b) What is the stopping distance when the surface is dry and the coefficient of friction is 0.675.
Thanks.

What have you done so far?

The following URL might help you with the definition of static and kinetic friction, if that happens to be your problem (it's hard to say, because you haven't attempted to explain how you tried to solve the problem).

http://hyperphysics.phy-astr.gsu.edu/hbase/frict2.html
 

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