Displacement given coefficient of friction and velocity

In summary, the conversation discussed the calculation of the minimum distance a car traveling at 56.0 km/h on a flat highway would take to stop on a rainy day, given a coefficient of friction of 0.100. The equation used was μ=-a/g, and the final result was determined to be 245.3 m.
  • #1
mandy9008
127
1

Homework Statement


A car is traveling at 56.0 km/h on a flat highway. If the coefficient of friction between road and tires on a rainy day is 0.100, what is the minimum distance in which the car will stop?



Homework Equations


μ=-a/g
v2=vo2 + 2 a x


The Attempt at a Solution


56.0 km/h = 15.6 m/s

0.100=-a / 9.8 m/s2
a= 0.98 m/s2

0=(15.6 m/s)2 + 2 (0.98m/s2) x
x= 245.3 m
 
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  • #2
mandy9008 said:
0=(15.6 m/s)2 + 2 (0.98m/s2) x
x= 245.3 m
Your equation is good but check your math(s)...and minus sign
 
  • #3
oh i accidently subtracted instead of divided. oops thanks!
 
  • #4
How do you no the equation:
the coefficient of friction=-a/g ?
 
  • #5


The minimum distance in which the car will stop is 245.3 meters.

Your solution appears to be correct. However, it is important to note that this calculation only gives the minimum distance in which the car will stop. In reality, the car may stop at a longer distance due to other factors such as reaction time and braking efficiency. Additionally, the coefficient of friction may vary on different parts of the road, so the stopping distance may also vary. It is important for drivers to always maintain a safe following distance and adjust their speed according to road conditions.
 

FAQ: Displacement given coefficient of friction and velocity

1. How does the coefficient of friction affect displacement?

The coefficient of friction affects displacement by determining the amount of resistance a surface has against an object in motion. The higher the coefficient of friction, the more resistance the surface has and the shorter the displacement will be.

2. What is the relationship between velocity and displacement?

Velocity and displacement have a direct relationship. This means that as velocity increases, displacement also increases. This is because the faster an object is moving, the further it will travel in a given amount of time.

3. Can displacement be calculated using only the coefficient of friction and velocity?

No, displacement cannot be calculated using only the coefficient of friction and velocity. Other factors such as the initial position and time must also be known in order to calculate displacement using the formula: displacement = (initial velocity x time) + (1/2 x coefficient of friction x time^2)

4. How does the surface affect displacement given the coefficient of friction and velocity?

The surface plays a significant role in determining the displacement given the coefficient of friction and velocity. Different surfaces have different coefficients of friction, meaning they will have varying levels of resistance against an object in motion. This will ultimately affect the displacement of the object.

5. Is displacement the same as distance?

No, displacement and distance are not the same. Displacement refers to the change in position of an object from its initial position to its final position, while distance is the total length of the path traveled by the object. Displacement takes into account the direction of motion, while distance does not.

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