Displacement given coefficient of friction and velocity

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Homework Help Overview

The problem involves calculating the minimum stopping distance of a car traveling at a specified speed on a flat highway, given the coefficient of friction under rainy conditions. The subject area includes kinematics and frictional forces.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between acceleration and the coefficient of friction, with one participant questioning the validity of the equation used. There is also an acknowledgment of a mathematical error in the calculations presented.

Discussion Status

The discussion is ongoing, with participants providing feedback on calculations and questioning the underlying assumptions of the equations used. There is an indication of productive engagement, as participants are clarifying concepts and correcting errors.

Contextual Notes

Participants are working within the constraints of a homework assignment, which may limit the information available and the methods they can use to solve the problem.

mandy9008
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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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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
 
oh i accidently subtracted instead of divided. oops thanks!
 
How do you no the equation:
the coefficient of friction=-a/g ?
 

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