Car Stopping Distance on a Wet Road

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In summary, the car traveling at 46.0 mi/h on a horizontal highway will stop in a minimum distance by applying the equations x = v_ot -a \frac{t^2}{2} and v = v_o -at, where v_o is the initial velocity and a is the acceleration due to friction. However, more information is needed, such as the weight of the car, to accurately solve for the distance. In addition, Newton's second law and the values of normal force and friction force must be taken into account.
  • #1
Jacob87411
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A car is traveling at 46.0 mi/h on a horizontal highway.
If the coefficient of static friction between road and tires on a rainy day is 0.101, what is the minimum distance in which the car will stop?

Just confused on where to start becuase it seems like I need more info
 
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  • #2
Jacob87411 said:
A car is traveling at 46.0 mi/h on a horizontal highway.
If the coefficient of static friction between road and tires on a rainy day is 0.101, what is the minimum distance in which the car will stop?

Just confused on where to start becuase it seems like I need more info
There is something missing. Don't you have a weight of the car ?

You should apply :
[tex]x = v_ot -a \frac{t^2}{2}[/tex]
[tex]v = v_o -at[/tex]

Where the v_o is initial velocity and a is the acceleration due to the friction. Beware of the sign !

Solve the second equation for t (the v is zero when the car has stopped) and substitute this t in the first equation to solve it for x.

marlon
 
  • #3
Thats what I thought but there is no mass given
 
  • #4
ohh yes, just apply Newton's second law in the vertical Y-direction :

[tex]ma_y = 0 = N -mg[/tex]

normal force N equals N = mg

and friction force F = 0.101N = 0.101mg

The associated acceleration is F/m = 0.101g and g=9.81 m/s²

marlon
 

1. What factors affect the stopping distance of a car on a wet road?

The main factors that affect the stopping distance of a car on a wet road are the speed of the car, the condition of the tires, the condition of the road surface, and the efficiency of the brakes. These factors can all contribute to a longer stopping distance on a wet road compared to a dry road.

2. How does speed affect the stopping distance on a wet road?

As the speed of a car increases, the stopping distance on a wet road also increases. This is because it takes longer for the tires to gain traction on a wet surface, and the car needs more distance to come to a complete stop. In fact, the stopping distance on a wet road can double when going from 30 mph to 60 mph.

3. How do different types of tires impact the stopping distance on a wet road?

The condition of the tires plays a significant role in the stopping distance on a wet road. Worn or bald tires have less grip and are more likely to skid on a wet surface, increasing the stopping distance. It is important to regularly check and maintain your tires for optimal performance on wet roads.

4. Does the type of road surface affect the stopping distance on a wet road?

Yes, the type of road surface can impact the stopping distance on a wet road. A smooth road surface, such as asphalt, provides better traction compared to a rough surface, like gravel or dirt. The smoother the road surface, the shorter the stopping distance will be on a wet road.

5. How can I reduce my car's stopping distance on a wet road?

To reduce your car's stopping distance on a wet road, ensure that your tires are in good condition and properly inflated. Also, avoid speeding and maintain a safe distance from other vehicles. It is also recommended to drive with caution and anticipate potential hazards on wet roads, such as puddles or slick spots.

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